Q. A solid conducting sphere having a charge $Q$ us surrounded by an uncharged concentric 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 $- 3Q.$ the new potential difference between the same two surface is
A) $V$
B) $2V$
C) $4V$
D) $- 2V$
Explanation
(a) Due to additional charge of $- 3Q$ given to external spherical shell, the potential difference between conducting sphere and the outer shell will not change because by presence of charge on outer shell, potential everywhere inside and on the surface of the shell will change by same amount. Therefore, the potential difference between sphere and shell remain unchanged.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.