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	<title>Electrodynamics - Revision history</title>
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	<updated>2026-05-06T15:38:40Z</updated>
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		<title>Wordpad: BloomWiki: Electrodynamics</title>
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		<updated>2026-04-25T01:50:19Z</updated>

		<summary type="html">&lt;p&gt;BloomWiki: Electrodynamics&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 01:50, 25 April 2026&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;div style=&quot;background-color: #4B0082; color: #FFFFFF; padding: 20px; border-radius: 8px; margin-bottom: 15px;&quot;&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{BloomIntro}}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{BloomIntro}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Electrodynamics is the study of &amp;quot;The Force that Runs the World&amp;quot;—the unified science of &amp;quot;Electricity,&amp;quot; &amp;quot;Magnetism,&amp;quot; and &amp;quot;Light.&amp;quot; While &amp;quot;Static&amp;quot; electricity is a curiosity (like a balloon sticking to hair), &amp;quot;Moving&amp;quot; electricity (Dynamics) is the foundation of &amp;quot;Electronics,&amp;quot; &amp;quot;Motors,&amp;quot; &amp;quot;Radios,&amp;quot; and the &amp;quot;Internet.&amp;quot; At the heart of this field are **Maxwell&amp;#039;s Equations**, the four &amp;quot;Sacred Formulas&amp;quot; that proved that &amp;quot;Light&amp;quot; is actually an &amp;quot;Electromagnetic Wave.&amp;quot; From the &amp;quot;Spark&amp;quot; of a candle to the &amp;quot;Signal&amp;quot; of a smartphone and the &amp;quot;Synapses&amp;quot; of the human brain, electrodynamics is the history of how we learned to &amp;quot;Command the Electron.&amp;quot; It is the science of the &amp;quot;Invisible Field&amp;quot; that connects every atom and every star.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Electrodynamics is the study of &amp;quot;The Force that Runs the World&amp;quot;—the unified science of &amp;quot;Electricity,&amp;quot; &amp;quot;Magnetism,&amp;quot; and &amp;quot;Light.&amp;quot; While &amp;quot;Static&amp;quot; electricity is a curiosity (like a balloon sticking to hair), &amp;quot;Moving&amp;quot; electricity (Dynamics) is the foundation of &amp;quot;Electronics,&amp;quot; &amp;quot;Motors,&amp;quot; &amp;quot;Radios,&amp;quot; and the &amp;quot;Internet.&amp;quot; At the heart of this field are **Maxwell&amp;#039;s Equations**, the four &amp;quot;Sacred Formulas&amp;quot; that proved that &amp;quot;Light&amp;quot; is actually an &amp;quot;Electromagnetic Wave.&amp;quot; From the &amp;quot;Spark&amp;quot; of a candle to the &amp;quot;Signal&amp;quot; of a smartphone and the &amp;quot;Synapses&amp;quot; of the human brain, electrodynamics is the history of how we learned to &amp;quot;Command the Electron.&amp;quot; It is the science of the &amp;quot;Invisible Field&amp;quot; that connects every atom and every star.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/div&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Remembering ==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;__TOC__&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;div style&lt;/ins&gt;=&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&quot;background-color: #000080; color: #FFFFFF; padding: 20px; border-radius: 8px; margin-bottom: 15px;&quot;&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;=&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;= &amp;lt;span style=&quot;color: #FFFFFF;&quot;&amp;gt;&lt;/ins&gt;Remembering&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/span&amp;gt; &lt;/ins&gt;==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* &amp;#039;&amp;#039;&amp;#039;Electrodynamics&amp;#039;&amp;#039;&amp;#039; — The branch of physics that deals with the &amp;quot;Interactions&amp;quot; of &amp;quot;Electric Currents&amp;quot; and &amp;quot;Magnetic Fields.&amp;quot;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* &amp;#039;&amp;#039;&amp;#039;Electrodynamics&amp;#039;&amp;#039;&amp;#039; — The branch of physics that deals with the &amp;quot;Interactions&amp;quot; of &amp;quot;Electric Currents&amp;quot; and &amp;quot;Magnetic Fields.&amp;quot;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* &amp;#039;&amp;#039;&amp;#039;Maxwell’s Equations&amp;#039;&amp;#039;&amp;#039; — The 4 mathematical laws that describe how &amp;quot;Electric&amp;quot; and &amp;quot;Magnetic&amp;quot; fields are generated and altered by each other and by &amp;quot;Charges&amp;quot; and &amp;quot;Currents.&amp;quot;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* &amp;#039;&amp;#039;&amp;#039;Maxwell’s Equations&amp;#039;&amp;#039;&amp;#039; — The 4 mathematical laws that describe how &amp;quot;Electric&amp;quot; and &amp;quot;Magnetic&amp;quot; fields are generated and altered by each other and by &amp;quot;Charges&amp;quot; and &amp;quot;Currents.&amp;quot;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l13&quot;&gt;Line 13:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 18:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* &amp;#039;&amp;#039;&amp;#039;Potential (V) and Vector Potential (A)&amp;#039;&amp;#039;&amp;#039; — The &amp;quot;Hidden Fields&amp;quot; that are more fundamental than the &amp;quot;E&amp;quot; and &amp;quot;B&amp;quot; fields themselves.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* &amp;#039;&amp;#039;&amp;#039;Potential (V) and Vector Potential (A)&amp;#039;&amp;#039;&amp;#039; — The &amp;quot;Hidden Fields&amp;quot; that are more fundamental than the &amp;quot;E&amp;quot; and &amp;quot;B&amp;quot; fields themselves.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* &amp;#039;&amp;#039;&amp;#039;Relativistic Electrodynamics&amp;#039;&amp;#039;&amp;#039; — The realization that &amp;quot;Magnetism&amp;quot; is just &amp;quot;Electricity&amp;quot; viewed from a different &amp;quot;Reference Frame&amp;quot; (Special Relativity).&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* &amp;#039;&amp;#039;&amp;#039;Relativistic Electrodynamics&amp;#039;&amp;#039;&amp;#039; — The realization that &amp;quot;Magnetism&amp;quot; is just &amp;quot;Electricity&amp;quot; viewed from a different &amp;quot;Reference Frame&amp;quot; (Special Relativity).&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/div&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Understanding ==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;div style&lt;/ins&gt;=&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&quot;background-color: #006400; color: #FFFFFF; padding: 20px; border-radius: 8px; margin-bottom: 15px;&quot;&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;=&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;= &amp;lt;span style=&quot;color: #FFFFFF;&quot;&amp;gt;&lt;/ins&gt;Understanding&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/span&amp;gt; &lt;/ins&gt;==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Electrodynamics is understood through &amp;#039;&amp;#039;&amp;#039;Fields&amp;#039;&amp;#039;&amp;#039; and &amp;#039;&amp;#039;&amp;#039;Unification&amp;#039;&amp;#039;&amp;#039;.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Electrodynamics is understood through &amp;#039;&amp;#039;&amp;#039;Fields&amp;#039;&amp;#039;&amp;#039; and &amp;#039;&amp;#039;&amp;#039;Unification&amp;#039;&amp;#039;&amp;#039;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l42&quot;&gt;Line 42:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 49:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# **Ampère/Maxwell**: &amp;quot;Electricity and changing electric fields make magnetism.&amp;quot;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# **Ampère/Maxwell**: &amp;quot;Electricity and changing electric fields make magnetism.&amp;quot;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;These 4 lines of math describe 100% of the modern world.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;These 4 lines of math describe 100% of the modern world.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/div&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Applying ==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;div style&lt;/ins&gt;=&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&quot;background-color: #8B0000; color: #FFFFFF; padding: 20px; border-radius: 8px; margin-bottom: 15px;&quot;&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;=&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;= &amp;lt;span style=&quot;color: #FFFFFF;&quot;&amp;gt;&lt;/ins&gt;Applying&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/span&amp;gt; &lt;/ins&gt;==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;#039;&amp;#039;&amp;#039;Modeling &amp;#039;The Faraday Induction&amp;#039; (Calculating the voltage from a moving magnet):&amp;#039;&amp;#039;&amp;#039;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;#039;&amp;#039;&amp;#039;Modeling &amp;#039;The Faraday Induction&amp;#039; (Calculating the voltage from a moving magnet):&amp;#039;&amp;#039;&amp;#039;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;syntaxhighlight lang=&amp;quot;python&amp;quot;&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;syntaxhighlight lang=&amp;quot;python&amp;quot;&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l64&quot;&gt;Line 64:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 73:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;: &amp;#039;&amp;#039;&amp;#039;The &amp;#039;Ether&amp;#039; Crisis&amp;#039;&amp;#039;&amp;#039; → Physicists thought EM waves needed &amp;quot;Air&amp;quot; (Ether) to travel through. The &amp;quot;Michelson-Morley&amp;quot; experiment proved it didn&amp;#039;t exist, leading to &amp;quot;Special Relativity.&amp;quot;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;: &amp;#039;&amp;#039;&amp;#039;The &amp;#039;Ether&amp;#039; Crisis&amp;#039;&amp;#039;&amp;#039; → Physicists thought EM waves needed &amp;quot;Air&amp;quot; (Ether) to travel through. The &amp;quot;Michelson-Morley&amp;quot; experiment proved it didn&amp;#039;t exist, leading to &amp;quot;Special Relativity.&amp;quot;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;: &amp;#039;&amp;#039;&amp;#039;Quantum Electrodynamics (QED)&amp;#039;&amp;#039;&amp;#039; → Richard Feynman’s &amp;quot;Level 2&amp;quot;: the study of how &amp;quot;Electrons and Photons&amp;quot; interact at the subatomic level, which is the most &amp;quot;Accurately tested&amp;quot; theory in history.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;: &amp;#039;&amp;#039;&amp;#039;Quantum Electrodynamics (QED)&amp;#039;&amp;#039;&amp;#039; → Richard Feynman’s &amp;quot;Level 2&amp;quot;: the study of how &amp;quot;Electrons and Photons&amp;quot; interact at the subatomic level, which is the most &amp;quot;Accurately tested&amp;quot; theory in history.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/div&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Analyzing ==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;div style&lt;/ins&gt;=&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&quot;background-color: #8B4500; color: #FFFFFF; padding: 20px; border-radius: 8px; margin-bottom: 15px;&quot;&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;=&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;= &amp;lt;span style=&quot;color: #FFFFFF;&quot;&amp;gt;&lt;/ins&gt;Analyzing&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/span&amp;gt; &lt;/ins&gt;==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{| class=&amp;quot;wikitable&amp;quot;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{| class=&amp;quot;wikitable&amp;quot;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|+ Electric vs. Magnetic&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|+ Electric vs. Magnetic&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l80&quot;&gt;Line 80:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 91:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;#039;&amp;#039;&amp;#039;The Concept of &amp;quot;Gauge Invariance&amp;quot;&amp;#039;&amp;#039;&amp;#039;: Analyzing &amp;quot;The Choice of Zero.&amp;quot; In electrodynamics, you can &amp;quot;Change the Potential&amp;quot; (the voltage) everywhere by a &amp;quot;Constant Amount&amp;quot; and the &amp;quot;Physical Result&amp;quot; (the force) is the **same**. This &amp;quot;Freedom of Choice&amp;quot; is a &amp;quot;Gauge Symmetry.&amp;quot; It is the &amp;quot;Mathematical Secret&amp;quot; that leads to the existence of the &amp;quot;Photon&amp;quot; itself.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;#039;&amp;#039;&amp;#039;The Concept of &amp;quot;Gauge Invariance&amp;quot;&amp;#039;&amp;#039;&amp;#039;: Analyzing &amp;quot;The Choice of Zero.&amp;quot; In electrodynamics, you can &amp;quot;Change the Potential&amp;quot; (the voltage) everywhere by a &amp;quot;Constant Amount&amp;quot; and the &amp;quot;Physical Result&amp;quot; (the force) is the **same**. This &amp;quot;Freedom of Choice&amp;quot; is a &amp;quot;Gauge Symmetry.&amp;quot; It is the &amp;quot;Mathematical Secret&amp;quot; that leads to the existence of the &amp;quot;Photon&amp;quot; itself.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/div&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Evaluating ==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;div style&lt;/ins&gt;=&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&quot;background-color: #483D8B; color: #FFFFFF; padding: 20px; border-radius: 8px; margin-bottom: 15px;&quot;&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;=&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;= &amp;lt;span style=&quot;color: #FFFFFF;&quot;&amp;gt;&lt;/ins&gt;Evaluating&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/span&amp;gt; &lt;/ins&gt;==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Evaluating electrodynamics:&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Evaluating electrodynamics:&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# &amp;#039;&amp;#039;&amp;#039;The &amp;quot;Monopole&amp;quot; Mystery&amp;#039;&amp;#039;&amp;#039;: If electricity has &amp;quot;Plus and Minus,&amp;quot; why does magnetism only have &amp;quot;North AND South&amp;quot;? (Is there a &amp;quot;Single North Pole&amp;quot; somewhere in the Universe? Finding one would &amp;quot;Break&amp;quot; Maxwell&amp;#039;s 2nd law).&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# &amp;#039;&amp;#039;&amp;#039;The &amp;quot;Monopole&amp;quot; Mystery&amp;#039;&amp;#039;&amp;#039;: If electricity has &amp;quot;Plus and Minus,&amp;quot; why does magnetism only have &amp;quot;North AND South&amp;quot;? (Is there a &amp;quot;Single North Pole&amp;quot; somewhere in the Universe? Finding one would &amp;quot;Break&amp;quot; Maxwell&amp;#039;s 2nd law).&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l87&quot;&gt;Line 87:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 100:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# &amp;#039;&amp;#039;&amp;#039;Limits&amp;#039;&amp;#039;&amp;#039;: Why can&amp;#039;t we &amp;quot;Move energy&amp;quot; without &amp;quot;Wires&amp;quot; over long distances? (The &amp;quot;Tesla Tower&amp;quot; dream vs. the &amp;quot;Inverse Square Law&amp;quot;).&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# &amp;#039;&amp;#039;&amp;#039;Limits&amp;#039;&amp;#039;&amp;#039;: Why can&amp;#039;t we &amp;quot;Move energy&amp;quot; without &amp;quot;Wires&amp;quot; over long distances? (The &amp;quot;Tesla Tower&amp;quot; dream vs. the &amp;quot;Inverse Square Law&amp;quot;).&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# &amp;#039;&amp;#039;&amp;#039;Complexity&amp;#039;&amp;#039;&amp;#039;: How can &amp;quot;One Field&amp;quot; explain both &amp;quot;A Bolt of Lightning&amp;quot; and &amp;quot;The Thoughts in your head&amp;quot;?&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# &amp;#039;&amp;#039;&amp;#039;Complexity&amp;#039;&amp;#039;&amp;#039;: How can &amp;quot;One Field&amp;quot; explain both &amp;quot;A Bolt of Lightning&amp;quot; and &amp;quot;The Thoughts in your head&amp;quot;?&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/div&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;== Creating ==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;div style&lt;/ins&gt;=&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&quot;background-color: #2F4F4F; color: #FFFFFF; padding: 20px; border-radius: 8px; margin-bottom: 15px;&quot;&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;=&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;= &amp;lt;span style=&quot;color: #FFFFFF;&quot;&amp;gt;&lt;/ins&gt;Creating&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/span&amp;gt; &lt;/ins&gt;==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Future Frontiers:&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Future Frontiers:&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# &amp;#039;&amp;#039;&amp;#039;Wireless Power Grid&amp;#039;&amp;#039;&amp;#039;: Using &amp;quot;Resonant Coupling&amp;quot; (the next level of Induction) to power &amp;quot;Cities and Cars&amp;quot; without a single plug or cable.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;# &amp;#039;&amp;#039;&amp;#039;Wireless Power Grid&amp;#039;&amp;#039;&amp;#039;: Using &amp;quot;Resonant Coupling&amp;quot; (the next level of Induction) to power &amp;quot;Cities and Cars&amp;quot; without a single plug or cable.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l99&quot;&gt;Line 99:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 114:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Hardware]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Hardware]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Electrodynamics]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Electrodynamics]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/div&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Wordpad</name></author>
	</entry>
	<entry>
		<id>http://bloomwiki.org/index.php?title=Electrodynamics&amp;diff=1813&amp;oldid=prev</id>
		<title>Wordpad: BloomWiki: Electrodynamics</title>
		<link rel="alternate" type="text/html" href="http://bloomwiki.org/index.php?title=Electrodynamics&amp;diff=1813&amp;oldid=prev"/>
		<updated>2026-04-23T15:38:25Z</updated>

		<summary type="html">&lt;p&gt;BloomWiki: Electrodynamics&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{BloomIntro}}&lt;br /&gt;
Electrodynamics is the study of &amp;quot;The Force that Runs the World&amp;quot;—the unified science of &amp;quot;Electricity,&amp;quot; &amp;quot;Magnetism,&amp;quot; and &amp;quot;Light.&amp;quot; While &amp;quot;Static&amp;quot; electricity is a curiosity (like a balloon sticking to hair), &amp;quot;Moving&amp;quot; electricity (Dynamics) is the foundation of &amp;quot;Electronics,&amp;quot; &amp;quot;Motors,&amp;quot; &amp;quot;Radios,&amp;quot; and the &amp;quot;Internet.&amp;quot; At the heart of this field are **Maxwell&amp;#039;s Equations**, the four &amp;quot;Sacred Formulas&amp;quot; that proved that &amp;quot;Light&amp;quot; is actually an &amp;quot;Electromagnetic Wave.&amp;quot; From the &amp;quot;Spark&amp;quot; of a candle to the &amp;quot;Signal&amp;quot; of a smartphone and the &amp;quot;Synapses&amp;quot; of the human brain, electrodynamics is the history of how we learned to &amp;quot;Command the Electron.&amp;quot; It is the science of the &amp;quot;Invisible Field&amp;quot; that connects every atom and every star.&lt;br /&gt;
&lt;br /&gt;
== Remembering ==&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;Electrodynamics&amp;#039;&amp;#039;&amp;#039; — The branch of physics that deals with the &amp;quot;Interactions&amp;quot; of &amp;quot;Electric Currents&amp;quot; and &amp;quot;Magnetic Fields.&amp;quot;&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;Maxwell’s Equations&amp;#039;&amp;#039;&amp;#039; — The 4 mathematical laws that describe how &amp;quot;Electric&amp;quot; and &amp;quot;Magnetic&amp;quot; fields are generated and altered by each other and by &amp;quot;Charges&amp;quot; and &amp;quot;Currents.&amp;quot;&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;Electromagnetic (EM) Wave&amp;#039;&amp;#039;&amp;#039; — A wave of &amp;quot;Vibrating&amp;quot; electric and magnetic fields that can &amp;quot;Travel through empty space&amp;quot; at the &amp;quot;Speed of Light.&amp;quot;&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;Lorentz Force&amp;#039;&amp;#039;&amp;#039; — The total &amp;quot;Force&amp;quot; exerted on a moving &amp;quot;Charged particle&amp;quot; by an electric and magnetic field.&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;Faraday’s Law&amp;#039;&amp;#039;&amp;#039; — The discovery that a &amp;quot;Moving Magnet&amp;quot; creates an &amp;quot;Electric Current&amp;quot; (The basis of &amp;quot;Electric Generators&amp;quot;).&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;Ampère’s Law&amp;#039;&amp;#039;&amp;#039; (with Maxwell&amp;#039;s correction) — The discovery that an &amp;quot;Electric Current&amp;quot; creates a &amp;quot;Magnetic Field.&amp;quot;&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;The Photon&amp;#039;&amp;#039;&amp;#039; — The &amp;quot;Quantum Particle&amp;quot; of the electromagnetic field (the &amp;quot;Particle of Light&amp;quot;).&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;Gauge Theory&amp;#039;&amp;#039;&amp;#039; — The advanced mathematical idea that the &amp;quot;Laws of Electrodynamics&amp;quot; don&amp;#039;t change if you &amp;quot;Shift&amp;quot; the starting point of the energy (Symmetry).&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;Potential (V) and Vector Potential (A)&amp;#039;&amp;#039;&amp;#039; — The &amp;quot;Hidden Fields&amp;quot; that are more fundamental than the &amp;quot;E&amp;quot; and &amp;quot;B&amp;quot; fields themselves.&lt;br /&gt;
* &amp;#039;&amp;#039;&amp;#039;Relativistic Electrodynamics&amp;#039;&amp;#039;&amp;#039; — The realization that &amp;quot;Magnetism&amp;quot; is just &amp;quot;Electricity&amp;quot; viewed from a different &amp;quot;Reference Frame&amp;quot; (Special Relativity).&lt;br /&gt;
&lt;br /&gt;
== Understanding ==&lt;br /&gt;
Electrodynamics is understood through &amp;#039;&amp;#039;&amp;#039;Fields&amp;#039;&amp;#039;&amp;#039; and &amp;#039;&amp;#039;&amp;#039;Unification&amp;#039;&amp;#039;&amp;#039;.&lt;br /&gt;
&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;1. The &amp;quot;Field&amp;quot; (The Invisible Link)&amp;#039;&amp;#039;&amp;#039;:&lt;br /&gt;
How does a &amp;quot;Magnet&amp;quot; pull a &amp;quot;Paperclip&amp;quot; through the air?&lt;br /&gt;
* It doesn&amp;#039;t &amp;quot;Touch&amp;quot; it directly. It &amp;quot;Distorts&amp;quot; the &amp;quot;Space&amp;quot; around it.&lt;br /&gt;
* This &amp;quot;Distortion&amp;quot; is the **Field**.&lt;br /&gt;
* Every &amp;quot;Charge&amp;quot; creates an &amp;quot;Electric Field.&amp;quot; Every &amp;quot;Moving Charge&amp;quot; creates a &amp;quot;Magnetic Field.&amp;quot;&lt;br /&gt;
* We live in an &amp;quot;Ocean&amp;quot; of these invisible fields, and your phone is just a &amp;quot;Radio&amp;quot; that listens to the &amp;quot;Wiggles&amp;quot; in the water.&lt;br /&gt;
&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;2. The &amp;quot;Unification&amp;quot; of Light&amp;#039;&amp;#039;&amp;#039;:&lt;br /&gt;
Before James Clerk Maxwell, &amp;quot;Light&amp;quot; was &amp;quot;Something Else.&amp;quot;&lt;br /&gt;
* Maxwell discovered that if you &amp;quot;Wiggle&amp;quot; an electric charge, it creates a &amp;quot;Magnetic wave.&amp;quot;&lt;br /&gt;
* That magnetic wave &amp;quot;Wiggles&amp;quot; the electric field back.&lt;br /&gt;
* This &amp;quot;Self-Sustaining Loop&amp;quot; travels at 300,000 km/s.&lt;br /&gt;
* Maxwell realized: &amp;quot;That IS Light.&amp;quot; This was the first &amp;quot;Great Unification&amp;quot; in physics history.&lt;br /&gt;
&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;3. Induction (The Motor of Civilization)&amp;#039;&amp;#039;&amp;#039;:&lt;br /&gt;
* **Generation**: Spin a magnet near a wire → You get Electricity (Power Plants).&lt;br /&gt;
* **Consumption**: Send electricity through a wire near a magnet → The wire Spins (Electric Motors).&lt;br /&gt;
* This &amp;quot;Circle&amp;quot; is why we have &amp;quot;Washing Machines,&amp;quot; &amp;quot;Trains,&amp;quot; and &amp;quot;Power Grids.&amp;quot;&lt;br /&gt;
&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;Maxwell&amp;#039;s Equations (The &amp;#039;Art&amp;#039; of Math)&amp;#039;&amp;#039;&amp;#039;&amp;#039;:&lt;br /&gt;
# **Gauss (Electric)**: &amp;quot;Charges make fields.&amp;quot;&lt;br /&gt;
# **Gauss (Magnetic)**: &amp;quot;There are no magnetic &amp;#039;Monopoles&amp;#039; (no single North pole).&amp;quot;&lt;br /&gt;
# **Faraday**: &amp;quot;Changing magnets make electricity.&amp;quot;&lt;br /&gt;
# **Ampère/Maxwell**: &amp;quot;Electricity and changing electric fields make magnetism.&amp;quot;&lt;br /&gt;
These 4 lines of math describe 100% of the modern world.&lt;br /&gt;
&lt;br /&gt;
== Applying ==&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;Modeling &amp;#039;The Faraday Induction&amp;#039; (Calculating the voltage from a moving magnet):&amp;#039;&amp;#039;&amp;#039;&lt;br /&gt;
&amp;lt;syntaxhighlight lang=&amp;quot;python&amp;quot;&amp;gt;&lt;br /&gt;
def calculate_induced_voltage(num_loops, magnetic_flux_change, time_delta):&lt;br /&gt;
    &amp;quot;&amp;quot;&amp;quot;&lt;br /&gt;
    V = -N * (delta_phi / delta_t)&lt;br /&gt;
    &amp;quot;&amp;quot;&amp;quot;&lt;br /&gt;
    if time_delta == 0: return 0&lt;br /&gt;
    &lt;br /&gt;
    voltage = -num_loops * (magnetic_flux_change / time_delta)&lt;br /&gt;
    return f&amp;quot;Induced Voltage: {round(voltage, 2)} Volts&amp;quot;&lt;br /&gt;
&lt;br /&gt;
# Case: A 100-loop coil with a fast flux change (0.5 Tesla-m^2 in 0.1s)&lt;br /&gt;
print(calculate_trade_benefit = calculate_induced_voltage(100, 0.5, 0.1))&lt;br /&gt;
&amp;lt;/syntaxhighlight&amp;gt;&lt;br /&gt;
&lt;br /&gt;
; ED Landmarks&lt;br /&gt;
: &amp;#039;&amp;#039;&amp;#039;The &amp;#039;Leyden Jar&amp;#039; (1745)&amp;#039;&amp;#039;&amp;#039; → The first &amp;quot;Battery&amp;quot; (Capacitor) that allowed humans to &amp;quot;Store&amp;quot; electricity and study it.&lt;br /&gt;
: &amp;#039;&amp;#039;&amp;#039;Oersted’s Compass (1820)&amp;#039;&amp;#039;&amp;#039; → The &amp;quot;Spark&amp;quot; of the field: Hans Christian Oersted noticed a &amp;quot;Compass needle&amp;quot; move when he turned on an &amp;quot;Electric wire,&amp;quot; proving the two forces were &amp;quot;Linked.&amp;quot;&lt;br /&gt;
: &amp;#039;&amp;#039;&amp;#039;The &amp;#039;Ether&amp;#039; Crisis&amp;#039;&amp;#039;&amp;#039; → Physicists thought EM waves needed &amp;quot;Air&amp;quot; (Ether) to travel through. The &amp;quot;Michelson-Morley&amp;quot; experiment proved it didn&amp;#039;t exist, leading to &amp;quot;Special Relativity.&amp;quot;&lt;br /&gt;
: &amp;#039;&amp;#039;&amp;#039;Quantum Electrodynamics (QED)&amp;#039;&amp;#039;&amp;#039; → Richard Feynman’s &amp;quot;Level 2&amp;quot;: the study of how &amp;quot;Electrons and Photons&amp;quot; interact at the subatomic level, which is the most &amp;quot;Accurately tested&amp;quot; theory in history.&lt;br /&gt;
&lt;br /&gt;
== Analyzing ==&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+ Electric vs. Magnetic&lt;br /&gt;
! Feature !! Electric Force (E) !! Magnetic Force (B)&lt;br /&gt;
|-&lt;br /&gt;
| Source || Any &amp;quot;Charge&amp;quot; (Fixed or Moving) || ONLY &amp;quot;Moving&amp;quot; Charges&lt;br /&gt;
|-&lt;br /&gt;
| Monopoly || Yes (Positive or Negative exists) || No (Always North + South together)&lt;br /&gt;
|-&lt;br /&gt;
| Work || Can &amp;quot;Push&amp;quot; a particle to speed up || ONLY &amp;quot;Turns&amp;quot; a particle (No work done)&lt;br /&gt;
|-&lt;br /&gt;
| Analogy || A &amp;#039;Wind&amp;#039; pushing you || A &amp;#039;Whirlpool&amp;#039; turning you&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;The Concept of &amp;quot;Gauge Invariance&amp;quot;&amp;#039;&amp;#039;&amp;#039;: Analyzing &amp;quot;The Choice of Zero.&amp;quot; In electrodynamics, you can &amp;quot;Change the Potential&amp;quot; (the voltage) everywhere by a &amp;quot;Constant Amount&amp;quot; and the &amp;quot;Physical Result&amp;quot; (the force) is the **same**. This &amp;quot;Freedom of Choice&amp;quot; is a &amp;quot;Gauge Symmetry.&amp;quot; It is the &amp;quot;Mathematical Secret&amp;quot; that leads to the existence of the &amp;quot;Photon&amp;quot; itself.&lt;br /&gt;
&lt;br /&gt;
== Evaluating ==&lt;br /&gt;
Evaluating electrodynamics:&lt;br /&gt;
# &amp;#039;&amp;#039;&amp;#039;The &amp;quot;Monopole&amp;quot; Mystery&amp;#039;&amp;#039;&amp;#039;: If electricity has &amp;quot;Plus and Minus,&amp;quot; why does magnetism only have &amp;quot;North AND South&amp;quot;? (Is there a &amp;quot;Single North Pole&amp;quot; somewhere in the Universe? Finding one would &amp;quot;Break&amp;quot; Maxwell&amp;#039;s 2nd law).&lt;br /&gt;
# &amp;#039;&amp;#039;&amp;#039;Health&amp;#039;&amp;#039;&amp;#039;: Do the &amp;quot;Invisible Fields&amp;quot; from &amp;quot;Cell Towers&amp;quot; and &amp;quot;Power Lines&amp;quot; affect &amp;quot;Human Cells&amp;quot;? (The &amp;quot;Bio-electrodynamics&amp;quot; debate).&lt;br /&gt;
# &amp;#039;&amp;#039;&amp;#039;Limits&amp;#039;&amp;#039;&amp;#039;: Why can&amp;#039;t we &amp;quot;Move energy&amp;quot; without &amp;quot;Wires&amp;quot; over long distances? (The &amp;quot;Tesla Tower&amp;quot; dream vs. the &amp;quot;Inverse Square Law&amp;quot;).&lt;br /&gt;
# &amp;#039;&amp;#039;&amp;#039;Complexity&amp;#039;&amp;#039;&amp;#039;: How can &amp;quot;One Field&amp;quot; explain both &amp;quot;A Bolt of Lightning&amp;quot; and &amp;quot;The Thoughts in your head&amp;quot;?&lt;br /&gt;
&lt;br /&gt;
== Creating ==&lt;br /&gt;
Future Frontiers:&lt;br /&gt;
# &amp;#039;&amp;#039;&amp;#039;Wireless Power Grid&amp;#039;&amp;#039;&amp;#039;: Using &amp;quot;Resonant Coupling&amp;quot; (the next level of Induction) to power &amp;quot;Cities and Cars&amp;quot; without a single plug or cable.&lt;br /&gt;
# &amp;#039;&amp;#039;&amp;#039;Magneto-Hydrodynamics (MHD)&amp;#039;&amp;#039;&amp;#039;: Using &amp;quot;Electric and Magnetic Fields&amp;quot; to &amp;quot;Pump Blood&amp;quot; or &amp;quot;Drive Ships&amp;quot; without any &amp;quot;Moving Parts,&amp;quot; using the fluid itself as the motor.&lt;br /&gt;
# &amp;#039;&amp;#039;&amp;#039;Quantum &amp;#039;Gauge&amp;#039; Computers&amp;#039;&amp;#039;&amp;#039;: Computers that use the &amp;quot;Symmetry of Fields&amp;quot; to &amp;quot;Protect&amp;quot; data from errors, making &amp;quot;Quantum Computing&amp;quot; 1,000x more stable.&lt;br /&gt;
# &amp;#039;&amp;#039;&amp;#039;The &amp;#039;Photon&amp;#039; Rocket&amp;#039;&amp;#039;&amp;#039;: A spaceship driven by the &amp;quot;Pressure of Light&amp;quot; (EM waves), allowing for &amp;quot;Interstellar Travel&amp;quot; at 10% the speed of light.&lt;br /&gt;
&lt;br /&gt;
[[Category:Physics]]&lt;br /&gt;
[[Category:Science]]&lt;br /&gt;
[[Category:Hardware]]&lt;br /&gt;
[[Category:Electrodynamics]]&lt;/div&gt;</summary>
		<author><name>Wordpad</name></author>
	</entry>
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