MCQ
Aspherical shell with an inner radius $'a'$ and an outer radius $'b' $ is made of conducting material. Apoint charge $+Q$ is placed at the centre of the spherical shell and a total charge $- q $ is placed on the shell.

Assume that the electrostatic potential is zero at an infinite distance from the spherical shell. The electrostatic potential at a distance $R$ $(a < R < b)$ from the centre of the shell is (where $K = $ $\frac{1}{{4\pi {\varepsilon _0}}}$)

  • A
    $0$
  • B
    $\frac{{KQ}}{a}$
  • C
    $K\,\frac{{Q - q}}{R}$
  • $K\,\frac{{Q - q}}{b}$

Answer

Correct option: D.
$K\,\frac{{Q - q}}{b}$
d
To. Make electric field indide metal charge on iner surface of shell must vbe equal to $-Q$

$V_{p}=\frac{K Q}{R}-\frac{K Q}{R}+\frac{K(Q-q)}{b}=\frac{K(Q-q)}{b}$

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