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Practice HW 5 solution

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

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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 – fnd 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 fgure 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 0 . 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 feld 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 feld 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 +

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

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