A solid metal sphere of radius R having charge q is enclosed inside… | JEE Main 2021 (26 Aug, Shift 1)

Q84JEE Main 2021 · 26 AUG · SHIFT 1Medium

Electric Potential & Equipotentials

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 the figure. The approximate variation of electric field $\vec{E}$ as a function of distance r from centre O is given by

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Answer: (a)

$r < R$ : inside the solid conductor, $E = 0$ .
$R < r < a$ : $E = \frac{kq}{r^2}$ , falling from its value at $R$ .
$a < r < b$ : inside the metal of the shell, $E = 0$ (charge $-q$ induced on the inner surface).
$r > b$ : outer surface carries $+q$ , so $E = \frac{kq}{r^2}$ again, jumping up at $r = b$ .
So the answer is (a).

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