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

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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: A. 5 . 6 × 10 10 C B. 2 . 1 × 10 8 C C. 4 . 7 × 10 8 C D. 6 . 3 × 10 8 C E. 9 . 5 × 10 3 C ans: D 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: A. 1 . 0 × 10 7 C B. 1 . 3 × 10 7 C C. 2 . 0 × 10 7 C D. 2 . 3 × 10 7 C E. 4 . 0 × 10 7 C ans: A 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: A. 5 . 3 × 10 5 C / m 3 B. 5 . 3 × 10 5 C / m 2 C. 8 . 5 × 10 4 C / m 3 D. 5 . 0 × 10 3 C / m 3 E. 6 . 3 × 10 2 C / m 3 ans: D 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 f eld the F ux through it is 25 N · m 2 / C. When the paper is turned 25 with respect to the f eld the F 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 F ux of the electric f eld (24 N / C) ˆ i + (30 N / C) ˆ j + (16 N / ˆ k through a 2 . 0m 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? A. n E must be the electric f eld due to the enclosed charge B. If q = 0, then n E = 0 everywhere on the Gaussian surface C. If the three particles inside have charges of + q ,+ q , and 2 q , then the integral is zero D. on the surface n E is everywhere parallel to d n A E. If a charge is placed outside the surface, then it cannot a f ect n E at any point on the surface ans: C 8. A charged point particle is placed at the center of a spherical Gaussian surface. The electric F ux Φ E is changed if: A. the sphere is replaced by a cube of the same volume B. the sphere is replaced by a cube of one-tenth the volume C. the point charge is moved o f center (but still inside the original sphere) D. the point charge is moved to just outside the sphere E. a second point charge is placed just outside the sphere ans: D 9. Choose the INCORRECT statement: A. Gauss’ law can be derived from Coulomb’s law B. Gauss’ law states that the net number of lines crossing any closed surface in an outward direction is proportional to the net charge enclosed within the surface C. Coulomb’s law can be derived from Gauss’ law and symmetry D. Gauss’ law applies to a closed surface of any shape E. According to Gauss’ law, if a closed surface encloses no charge, then the electric f eld must vanish everywhere on the surface ans: E
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This note was uploaded on 04/14/2008 for the course PHYSICS 108 taught by Professor Halstead during the Spring '08 term at SUNY Buffalo.

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

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