Sphere $A$ with radius $a$ and sphere $B$ with radius $b$ are at same electric potential. Then the r

Question

Sphere $A$ with radius $a$ and sphere $B$ with radius $b$ are at same electric potential. Then the ratio of the surface charge densities of $A$ and $B$ is

Professor PC Thomas Classes · Answer

$V_A = V_B \Rightarrow \frac{kQ_A}{a} = \frac{kQ_B}{b}$. Surface charge density ratio $\frac{\sigma_A}{\sigma_B} = \frac{Q_A/a^2}{Q_B/b^2} = \frac{b}{a}$.