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Question

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 :

A
Zero
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B
4πε0a
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C
4πε0b
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D
4πε0a(bba)
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Solution

The correct option is C 4πε0b
Capacity when outer sphere is earthed
C1=4πε0ab(ba)
Capacity when inner sphere is earthed
C2=4πε0b+4πε0abba=4πε0(b2ba)
Difference in capacity =C2C1=4πε0b

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