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ch23 - Chapter 23 GAUSS LAW 1 A total charge of 6.3 10-8 C...

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Chapter 23: GAUSS’ LAW 1. A total charge of 6 . 3 × 10 8 C is distributed uniformly throughout a 2 . 7-cm radius sphere. The volume charge density is: A. 3 . 7 × 10 7 C / m 3 B. 6 . 9 × 10 6 C / m 3 C. 6 . 9 × 10 6 C / m 2 D. 2 . 5 × 10 4 C / m 3 E. 7 . 6 × 10 4 C / m 3 ans: E 2. Charge is placed on the surface of a 2 . 7-cm radius isolated conducting sphere. The surface charge density is uniform and has the value 6 . 9 × 10 6 C / m 2 . The total charge on the sphere is: 3. A spherical shell has an inner radius of 3 . 7 cm and an outer radius of 4 . 5 cm. If charge is distributed uniformly throughout the shell with a volume density of 6 . 1 × 10 4 C / m 3 the total charge is: 4. A cylinder has a radius of 2 . 1 cm and a length of 8 . 8 cm. Total charge 6 . 1 × 10 7 C is distributed uniformly throughout. The volume charge density is: Chapter 23: GAUSS’ LAW 343
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5. When a piece of paper is held with one face perpendicular to a uniform electric fi eld the fl ux through it is 25 N · m 2 / C. When the paper is turned 25 with respect to the fi eld the fl ux through it is: A. 0 B. 12 N · m 2 / C C. 21 N · m 2 / C D. 23 N · m 2 / C E. 25 N · m 2 / C ans: D 6. The fl ux of the electric fi eld (24 N / C) ˆ i + (30 N / C) ˆ j + (16 N / C) ˆ k through a 2 . 0 m 2 portion of the yz plane is: A. 32 N · m 2 / C B. 34 N · m 2 / C C. 42 N · m 2 / C D. 48 N · m 2 / C E. 60 N · m 2 / C ans: D 7. Consider Gauss’s law: ± n E · d n A = q/ 6 0 . Which of the following is true? 8. A charged point particle is placed at the center of a spherical Gaussian surface. The electric fl ux Φ E is changed if:
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