Practice HW 5 solution

Practice HW 5 solution - song(shs546 – Practice HW 5...

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Unformatted text preview: song (shs546) – Practice HW 5 Solutions – weathers – (22202) 1 This print-out should have 19 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 (part 1 of 9) 10.0 points A point charge − 1 pC is concentric with two spherical conducting thick shells, as show in the figure below. The smaller spherical con- ducting shell has a net charge of − 28 pC and the larger spherical conducting shell has a net charge of − 14 pC. − 14 pC − 28 pC − 1 pC P 1 P 2 P 3 P 4 P 5 . 8 cm 2 . 5 cm 4 . 2 cm 6 . 15 cm 8 . 45 cm 1 . 6 cm 3 . 4 cm 5 cm 7 . 3 cm What is the charge on the inner surface of the smaller spherical conducting shell, 1 . 6 cm from the − 1 pC point charge? Under static conditions, the charge on a conductor resides on the surface of the conductor. Correct answer: 1 pC. Explanation: Let : q 1 = − 1 pC and r P 2 = 2 . 5 cm . The net charge inside a Gaussian surface lo- cated at P 2 ( r P 2 = 2 . 5 cm) must be zero since the field in the conductor must be zero. Therefore, the charge on the inner surface of the smaller spherical conducting shell must be − q 1 . 002 (part 2 of 9) 10.0 points What is the charge on the outer surface of the smaller spherical conducting shell, 3 . 4 cm from the − 1 pC point charge? Correct answer: − 29 pC. Explanation: Let : r P 3 = 4 . 2 cm and q 2 = − 28 pC . The net charge inside a Gaussian surface located at P 3 ( r P 3 = 4 . 2 cm) must be q 1 + q 2 since charge is conserved. Therefore, the charge on the outer surface of the smaller spherical conducting shell must be q 1 + q 2 . 003 (part 3 of 9) 10.0 points What is the charge on the inner surface of the larger spherical conducting shell, 5 cm from the − 1 pC point charge? Correct answer: 29 pC. Explanation: Let : r P 4 = 6 . 15 cm . The net charge inside a Gaussian surface located at P 4 ( r P 4 = 6 . 15 cm) must be zero since the field in the conductor must be zero. Therefore, the charge on the inner surface of the large spherical conducting shell must be − ( q 1 + q 2 ). 004 (part 4 of 9) 10.0 points What is the charge on the outer surface of the larger spherical conducting shell, 7 . 3 cm from the − 1 pC point charge? Correct answer: − 43 pC. Explanation: Let : r P 5 = 8 . 45 cm , and q 3 = − 14 pC . The net charge inside a Gaussian surface located at P 4 ( r P 5 = 8 . 45 cm) must be q 1 + song (shs546) – Practice HW 5 Solutions – weathers – (22202) 2 q 2 + q 3 since charge is conserved. Therefore, the charge on the outer surface f the smaller spherical conducting shell must be q 1 + q 2 + q 3 . 005 (part 5 of 9) 10.0 points What is the magnitude of the electric field at P 1 , 0 . 8 cm from the − 1 pC point charge?...
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This note was uploaded on 04/22/2011 for the course PHYS 2220 taught by Professor Littler during the Spring '00 term at North Texas.

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Practice HW 5 solution - song(shs546 – Practice HW 5...

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