24. Electric Force & Field; Gauss' Law

Electric Flux

Electric Flux, Gauss's Law & Electric Fields, Through a Cube, Sphere, & Disk, Physics Problems

<math display="inline"><mrow><mn>1.1</mn><mo>&#x00D7;</mo><msup><mn>10</mn><mrow><mn>3</mn></mrow></msup><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">N</mi><mo>&#x00B7;</mo><msup><mi mathvariant="normal" class="MathML-Unit">m</mi><mn>2</mn></msup><mo>/</mo><mi mathvariant="normal" class="MathML-Unit">C</mi></mrow></math>, outward

<math display="inline"><mrow><mn>2.5</mn><mo>&#x00D7;</mo><msup><mn>10</mn><mrow><mn>3</mn></mrow></msup><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">N</mi><mo>&#x00B7;</mo><msup><mi mathvariant="normal" class="MathML-Unit">m</mi><mn>2</mn></msup><mo>/</mo><mi mathvariant="normal" class="MathML-Unit">C</mi></mrow></math>, outward

<math display="inline"><mrow><mn>2.5</mn><mo>&#x00D7;</mo><msup><mn>10</mn><mrow><mn>3</mn></mrow></msup><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">N</mi><mo>&#x00B7;</mo><msup><mi mathvariant="normal" class="MathML-Unit">m</mi><mn>2</mn></msup><mo>/</mo><mi mathvariant="normal" class="MathML-Unit">C</mi></mrow></math>, inward

<math display="inline"><mrow><mn>6.4</mn><mo>&#x00D7;</mo><msup><mn>10</mn><mrow><mn>3</mn></mrow></msup><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">N</mi><mo>&#x00B7;</mo><msup><mi mathvariant="normal" class="MathML-Unit">m</mi><mn>2</mn></msup><mo>/</mo><mi mathvariant="normal" class="MathML-Unit">C</mi></mrow></math>, outward

<math display="inline"><mrow><mn>6.4</mn><mo>&#x00D7;</mo><msup><mn>10</mn><mrow><mn>3</mn></mrow></msup><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">N</mi><mo>&#x00B7;</mo><msup><mi mathvariant="normal" class="MathML-Unit">m</mi><mn>2</mn></msup><mo>/</mo><mi mathvariant="normal" class="MathML-Unit">C</mi></mrow></math>, inward

<math display="inline"><mrow><mn>1.1</mn><mo>&#x00D7;</mo><msup><mn>10</mn><mrow><mn>3</mn></mrow></msup><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">N</mi><mo>&#x00B7;</mo><msup><mi mathvariant="normal" class="MathML-Unit">m</mi><mn>2</mn></msup><mo>/</mo><mi mathvariant="normal" class="MathML-Unit">C</mi></mrow></math>, inward

A cube has sides of <math display="inline"><mrow><mn>4.0</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">cm</mi></mrow></math>. Inside the cube is a <math display="inline"><mrow><mn>20</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">nC</mi></mrow></math> and a <math display="inline"><mrow><mo>&#x2212;</mo><mn>30</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">nC</mi></mrow></math> charge. What is the net flux through the cube?

Electric Flux (part 1)

ELECTRIC FLUX

What is the total flux through the two surfaces depicted in the following figure? Note that surface 1 has an area of 50 cm2 and surface 2 has an area of 100 cm2 , and E = 500 N/C.<img src="https://static.studychannel.pearsonprd.tech/courses/physics/thumbnails/images/23ca185e"alt=""/>

Flux Through Cube

Flux Through Angled Surface

Magnetic and Electric Flux

Electric flux

A uniform electric field points in the positive x direction and has a magnitude of <math display="inline"><mrow><mn>40</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">N</mi><mo>/</mo><mi mathvariant="normal" class="MathML-Unit">C</mi></mrow></math>. What is the net flux through a cube with sides <math display="inline"><mrow><mn>4.0</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">cm</mi></mrow></math>? The cube has one corner on the origin and the positive x, y, and z axes form three of its edges.

Where does the normal vector point for a spherical shell?<img src="https://static.studychannel.pearsonprd.tech/courses/physics/thumbnails/images/9878a4be"alt=""/>

The electric flux through each surface of a cube is given below. Which surfaces of the cube does the electric field run parallel to?&nbsp;Φ1 = 100 Nm2 /C&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;Φ4 = 0 Nm2 /C Φ2 = 20 Nm2 /C&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;Φ5 = −40 Nm2 /? Φ3 = 0 Nm2 /C&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;Φ6 = −80 Nm2 /?

Flux Through Spherical Shell due to Point Charge

A <math display="inline"><mrow><mn>4.0</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">cm</mi><mo>&#x00D7;</mo><mn>5.0</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">cm</mi></mrow></math> rectangle lies in the x-y plane; let the normal vector point in the z direction. What is the flux through the rectangle of a uniform electric field <math display="inline"><mrow><mover accent="true"><mi>E</mi><mo stretchy="true">&#x21C0;</mo></mover><mo>=</mo><mo stretchy="false">(</mo><mo>&#x2212;</mo><mn>7.8</mn><mo rspace="thickmathspace">&#x2062;</mo><mo>&#x00D7;</mo><mo rspace="thickmathspace">&#x2062;</mo><msup><mrow><mn>10</mn></mrow><mn>5</mn></msup><mover accent="true"><mi>j</mi><mo>&#x005E;</mo></mover><mo>+</mo><mn>2.3</mn><mo rspace="thickmathspace">&#x2062;</mo><mo>&#x00D7;</mo><mo rspace="thickmathspace">&#x2062;</mo><mn>1</mn><msup><mn>0</mn><mn>5</mn></msup><mover accent="true"><mi>k</mi><mo>&#x005E;</mo></mover><mo stretchy="false">)</mo><mi class="MathML-Unit">N</mi><mo>/</mo><mi class="MathML-Unit">C</mi></mrow></math>

A uniform electric field points in the positive x direction and has a magnitude of <math display="inline"><mrow><mn>40</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">N</mi><mo>/</mo><mi mathvariant="normal" class="MathML-Unit">C</mi></mrow></math>. What is the total flux through a rectangle with height <math display="inline"><mrow><mn>20</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">cm</mi></mrow></math> and width <math display="inline"><mrow><mn>45</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">cm</mi></mrow></math>? The rectangle lies in the y-z plane.

Physics - E&M: Ch 36.1 The Electric Field Understood (2 of 17) What is Electric Flux?

Electric flux closed surface part 1

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