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Physics / University Physics 13 / Chapter 24 / Problem 12E

University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman

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A cylindrical capacitor has an inner conductor of radius

Chapter 24, Problem 12E

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QUESTION:

A cylindrical capacitor has an inner conductor of radius 1.5 mm and an outer conductor of radius 3.5 mm. The two conductors are separated by vacuum, and the entire capacitor is 2.8 m long. (a) What is the capacitance per unit length? (b) The potential of the inner conductor is 350 mV higher than that of the outer conductor. Find the charge (magnitude and sign) on both conductors.

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QUESTION:

A cylindrical capacitor has an inner conductor of radius 1.5 mm and an outer conductor of radius 3.5 mm. The two conductors are separated by vacuum, and the entire capacitor is 2.8 m long. (a) What is the capacitance per unit length? (b) The potential of the inner conductor is 350 mV higher than that of the outer conductor. Find the charge (magnitude and sign) on both conductors.

ANSWER:

Solution 12E Step 1 : Introduction : We need to find the capacitance per unit length of cylindrical capacitor In the second part, we need to find the charge on the conductor Data given Inner Radius r = 1.5 mm 1 Outer radius r 2 3.5 mm Length l = 2.8 m Potential of the inner capacitor V = 350 mV

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