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A spherical condenser has inner and outer spheres of radii a and b respectively. The space between the two is filled with air. The difference between the capacities of two condensers formed when outer sphere is earthed and when inner sphere is earthed will be

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a

Zero

b

4πε0a

c

4πε0b

d

4πε0abb−a

answer is C.

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Detailed Solution

Capacity when outer sphere is earthed C1=4πε0abb−aCapacity when inner sphere is earthedC2=4πε0b+4πε0abb−a=4πε0b2b−aDifference in capacity =C2−C1=4πε0b

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