24. Electric Force & Field; Gauss' Law

Electric Fields in Capacitors

Energy Stored on a Capacitor and Energy Density in an Electric Field

 <math display=“inline”><mrow><msub><mi>E</mi><mrow><mtext>between</mtext></mrow></msub><mo>=</mo><mn>0</mn><mtext>&#x00A0;</mtext><mtext>N/C;</mtext><mtext>&#x00A0;</mtext><msub><mi>E</mi><mrow><mi mathvariant="normal" class="MathML-Unit">in</mi><mtext>&#x00A0;</mtext><mtext>plate</mtext></mrow></msub><mo>=</mo><mn>6.72</mn><mo>&#x00D7;</mo><msup><mrow><mn>10</mn></mrow><mrow><mn>11</mn></mrow></msup><mtext>&#x00A0;</mtext><mtext>N/C</mtext></mrow></math> 

 <math display=“inline”><mrow><msub><mi>E</mi><mrow><mtext>between</mtext></mrow></msub><mo>=</mo><mn>3.36</mn><mo>&#x00D7;</mo><msup><mrow><mn>10</mn></mrow><mrow><mn>11</mn></mrow></msup><mtext>&#x00A0;</mtext><mtext>N/C;</mtext><mtext>&#x00A0;</mtext><msub><mi>E</mi><mrow><mi mathvariant="normal" class="MathML-Unit">in</mi><mtext>&#x00A0;</mtext><mtext>plate</mtext></mrow></msub><mo>=</mo><mn>6.72</mn><mo>&#x00D7;</mo><msup><mrow><mn>10</mn></mrow><mrow><mn>11</mn></mrow></msup><mtext>&#x00A0;</mtext><mtext>N/C</mtext></mrow></math> 

 <math display=“inline”><mrow><msub><mi>E</mi><mrow><mtext>between</mtext></mrow></msub><mo>=</mo><mn>5.52</mn><mo>&#x00D7;</mo><msup><mrow><mn>10</mn></mrow><mrow><mn>11</mn></mrow></msup><mtext>&#x00A0;</mtext><mtext>N/C;</mtext><mtext>&#x00A0;</mtext><msub><mi>E</mi><mrow><mi mathvariant="normal" class="MathML-Unit">in</mi><mtext>&#x00A0;</mtext><mtext>plate</mtext></mrow></msub><mo>=</mo><mn>0</mn><mtext>&#x00A0;</mtext><mtext>N/C</mtext></mrow></math> 

 <math display=“inline”><mrow><msub><mi>E</mi><mrow><mtext>between</mtext></mrow></msub><mo>=</mo><mn>6.72</mn><mo>&#x00D7;</mo><msup><mrow><mn>10</mn></mrow><mrow><mn>11</mn></mrow></msup><mtext>&#x00A0;</mtext><mtext>N/C;</mtext><mtext>&#x00A0;</mtext><msub><mi>E</mi><mrow><mi mathvariant="normal" class="MathML-Unit">in</mi><mtext>&#x00A0;</mtext><mtext>plate</mtext></mrow></msub><mo>=</mo><mn>3.36</mn><mo>&#x00D7;</mo><msup><mrow><mn>10</mn></mrow><mrow><mn>11</mn></mrow></msup><mtext>&#x00A0;</mtext><mtext>N/C</mtext></mrow></math> 

 <math display=“inline”><mrow><msub><mi>E</mi><mrow><mtext>between</mtext></mrow></msub><mo>=</mo><mn>1.34</mn><mo>&#x00D7;</mo><msup><mrow><mn>10</mn></mrow><mrow><mn>12</mn></mrow></msup><mtext>&#x00A0;</mtext><mtext>N/C;</mtext><mtext>&#x00A0;</mtext><msub><mi>E</mi><mrow><mi mathvariant="normal" class="MathML-Unit">in</mi><mtext>&#x00A0;</mtext><mtext>plate</mtext></mrow></msub><mo>=</mo><mn>0</mn><mtext>&#x00A0;</mtext><mtext>N/C</mtext></mrow></math> 

 <math display=“inline”><mrow><msub><mi>E</mi><mrow><mtext>between</mtext></mrow></msub><mo>=</mo><mn>6.72</mn><mo>&#x00D7;</mo><msup><mrow><mn>10</mn></mrow><mrow><mn>11</mn></mrow></msup><mtext>&#x00A0;</mtext><mtext>N/C;</mtext><mtext>&#x00A0;</mtext><msub><mi>E</mi><mrow><mi mathvariant="normal" class="MathML-Unit">in</mi><mtext>&#x00A0;</mtext><mtext>plate</mtext></mrow></msub><mo>=</mo><mn>0</mn><mtext>&#x00A0;</mtext><mtext>N/C</mtext></mrow></math> 

 Each plate in a parallel-plate capacitor has an area of <math display=“inline”><mrow><mn>12.5</mn><msup><mrow><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">cm</mi></mrow><mn>2</mn></msup></mrow></math>. and the separation between plates is <math display=“inline”><mrow><mn>0</mn><mo>.</mo><mrow><mn>822</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">mm</mi></mrow></mrow></math>. The magnitude of the charge on each plate is <math display=“inline”><mrow><mn>7.43</mn><mtext>&#x00A0;</mtext><mtext>mC</mtext></mrow></math>. What is the magnitude of the electric field between the plates and inside the metal of the plates? 

Finding the Electric Field in a Parallel Plate Capacitor

Dielectrics & Capacitors - Capacitance, Voltage & Electric Field - Physics Problems

Intro to Capacitors

Electrical Engineering: Ch 6: Capacitors (2 of 26) Capacitor with Dielectric

<p>An electron moves into a capacitor at an initial speed of 150 m/s. If the electron enters exactly halfway between the plates, how far will the electron move horizontally before it strikes one of the plates? Which plate will it strike?</p><p><img src="https://static.studychannel-prd.pearsonprd.tech/courses/physics/thumbnails/images/9bb3a702"alt=""/></p>

Parallel plate capacitor (⚡3d animation) , Physics , Class 12

Electric Field of Parallel Plates

Electric Field Between the Plates of a Capacitor

 The force would be toward the positive plate, and there would never be any torque. 

 The force would be toward the negative plate, and there would never be any torque. 

 The force would be toward the positive plate, and the torque would align the dipole moment with the electric field. 

 The force would be toward the negative plate, and the torque would align the dipole moment with the electric field. 

 Both the force and the torque would be zero. 

 The force would be zero, and the torque would align the dipole moment with the electric field. 

 A water molecule is a dipole. If water were placed in the uniform field between capacitor plates, which of the following would best describe the force and torque experienced by the water molecules? 

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