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Initially the spheres A and B are at potentials $V_{A}$ and $V_{B}$ respectively. Now sphere B is earthed by closing the switch. The potential of A becomes

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$V_{B}$

$V_{A}$

$V_{A} -$ $V_{B}$

answer is C.

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Detailed Solution

We Know potential difference between the two spheres is independent of the charge of the outer sphere. When the outer sphere is grounded then its potential will be zero.

so V_A-V_B=V'_A-V'_B

where left hand side is the initial potential difference and right hand side is the final potential difference .

when V'_B=0

V'_A=V_A-V_B

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