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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

A spherical capacitor consists of a spherical conducting shell of radius b and charge –Q concentric with a smaller conducting sphere of radius a and charge Q. (a) Find the capacitance of this device. (b) Show that as the radius b of the outer sphere approaches infinity, the capacitance approaches the value a/ke = 4πϵ0a.

(a)

To determine
The capacitance.

Explanation

The potential difference is given by,

ΔV=keQ(1a1b)

Formula to calculate the capacitance is,

C=QΔV

Therefore,

C=QkeQ(1a

(b)

To determine
The capacitance when b approaches infinity.

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