Question

Metallic sphere of radius $R$ is charged to potential $V$. Then charge $q$ is proportional to

• A. $V$
• B. $R$
• C. both $V$ and $R$
• D. none of these

Answer 1

Answer: (C)

As charge, $q=CV=\left(4\pi {\epsilon }_{0}R\right)V$
$\therefore$ $q$ depends on both $V$ and $R$