Question

A spherical conductor having charge $q$ and radius $r$ is placed at the centre of a spherical shell of radius $R$ and having charge $Q(R>r).$ The potential difference between the two is :

• A. Proportional to Q
• B. Proportional to q
• C. Dependent on both Q and q
• D. Independent of both Q and q

Answer 1

The correct option is A Proportional to Q

The working formula,

$V\left(r\right)=\frac{1}{4\pi {ϵ}_0}\frac{Q}{r}$

Now, potential difference between the two proportional to $Q$ potential difference is independent of $q$.