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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

Option: 1

zero


Option: 2

4\pi \varepsilon _0a


Option: 3

4\pi \varepsilon _0b


Option: 4

4\pi \varepsilon _0a\left ( \frac{b}{b-a} \right )


Answers (1)

best_answer

Capacity when outer sphere is earthed

C_1= 4\pi \varepsilon _0\frac{ab}{b-a}

Capacity when inner sphere is earthed   

C_1= 4\pi \varepsilon _0\frac{ab}{b-a}+4\pi\varepsilon _0b

Difference in capacity=4\pi\varepsilon _0b

Posted by

Rakesh

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