Question

Two hollow conducting spheres of radii $R_1$ and $R_2$ $\left(R_1>>R_2\right)$ have equal charges. The potential would be:

• A. dependent on the material property of the sphere
• B. more on bigger sphere
• C. more on smaller sphere
• D. equal on both the spheres

Answer 1

Answer: (C)

$V=\frac{1}{4\pi {ϵ}_0}\cdot \frac{Q}{R}$
$\frac{1}{4\pi {ϵ}_0}=$ constant
$Q=$ same (Given)
$\therefore V\propto \frac{1}{R}$
$\therefore$ Potential is more on smaller sphere.