Question

The potential on the hollow sphere of radius 1 m is 1000 V, then potential at $\frac{1}{4}$ m from the centre of the sphere is

• A. 1000 V
• B. 500V
• C. 250V
• D. Zero

Answer 1

Answer: (A)

For a charged conducting sphere [or shell of charge at surface (r = R)] $V_s=\frac{1}{4\pi {\epsilon }_0}\frac{Q}{R}$ Inside the shell the potential remains constant at all points and equal to potential at the surface $V_{in}=constant=V_s$ $\therefore$ $V_{in}=1000V$