Question

Consider a thin spherical shell of radius $R$ with its centre at the origin, carrying uniform positive surface charge density. The variation of the manitude of the electric field $|E\left(r\right)|$ and the electric potential $V\left(r\right)$ with the distance $r$ from the centre, is best represented by which graph?

• A.
• B.
• C.
• D.

Answer 1

The correct option is A

Inside, $E\left(r\right)=0$ outside, $E\left(r\right)\propto \frac{1}{r^2}$
Inside $V\left(r\right)=$ constnat, outside $V\left(r\right)\propto \frac{1}{r}$