A) Zero
B) \[4\pi {{\varepsilon }_{0}}a\]
C) \[4\pi {{\varepsilon }_{0}}b\]
D) \[4\pi {{\varepsilon }_{0}}a\left( \frac{b}{b-a} \right)\]
Correct Answer: C
Solution :
Capacity when outer sphere is earthed \[{{C}_{1}}=4\pi {{\varepsilon }_{0}}\frac{ab}{b-a}\] Capacity when inner sphere is earthed \[{{C}_{2}}=4\pi {{\varepsilon }_{0}}b+\frac{4\pi {{\varepsilon }_{0}}ab}{b-a}=4\pi {{\varepsilon }_{0}}\left( \frac{{{b}^{2}}}{b-a} \right)\] Difference in capacity = C2 ? C1 = 4pe0b
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