Consider three concentric metallic spheres $A, B$ and $C$ of radii $a , b, c$, respectively where $a < b < c$. $A$ and $B$ are connected, whereas $C$ is grounded. The potential of the middle sphere $B$ is raised to $V$, then the charge on the sphere $C$ is

  • [KVPY 2012]
  • A

    $-4 \pi \varepsilon_0 V \frac{b c}{c-b}$

  • B

    $+4 \pi \varepsilon_0 V \frac{b c}{c-b}$

  • C

    $-4 \pi \varepsilon_0 V \frac{a c}{c-a}$

  • D

    zero

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