JEE PYQ: Electrostatics Question 38
Question 38 - 2019 (08 Apr Shift 1)
A solid conducting sphere, having a charge Q, is surrounded by an uncharged conducting hollow spherical shell. Let the potential difference between the surface of the solid sphere and that of the outer surface of the hollow shell be V. If the shell is now given a charge of $-4Q$, the new potential difference between the same two surfaces is:
(1) $-2V$
(2) $2V$
(3) $4V$
(4) $V$
Show Answer
Answer: (4)
Solution
The electric field between the two surfaces depends only on the charge $Q$ on the inner sphere (by Gauss’s law). Adding charge to the outer shell does not change the field between the surfaces. Hence the potential difference remains $V$.
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