MCQ
A solid metal sphere of radius $R$ having charge $q$ is enclosed inside the concentric spherical shell of inner radius $a$ and outer radius $b$ as shown in figure. The approximate variation electric field $\overrightarrow{{E}}$ as a function of distance $r$ from centre $O$ is given by

  • B

  • C

  • D

Answer

Correct option: A.

a
Option $(2)$

Considering outer spherical shell is nonconducting

Electric field inside a metal sphere is zero.

${r}<{R} \Rightarrow {E}=0$

${r}>{R} \Rightarrow {E}=\frac{{kQ}}{{r}^{2}}$

Option $(1)$

Considering outer spherical shell is conducting

${r}<{R},{E}=0$

${R} \leq {r}<{a} \quad\quad {E}=\frac{{kQ}}{{r}^{2}}$

${a} \leq {r}<{b},\quad\quad {E}=0$

${r} \geq {b} \quad\quad\quad\quad\quad {E}=\frac{{kQ}}{{r}^{2}}$

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