Question

A charge $q$ is uniformly distributed on a spherical shell of radius $R$. The electric field at a distance $\frac{4R}{3}$ from the centre will be

• A. $\frac{9q}{64\pi {\epsilon }_0{R}^2}$
• B. $\frac{q}{4\pi {\epsilon }_0{R}^3}$
• C. $\frac{3q}{16\pi {\epsilon }_0{R}^2}$
• D. Zero

Answer 1

The correct option is A $\frac{9q}{64\pi {\epsilon }_0{R}^2}$

Electric field at a distance $(r>R)$ from the centre of the shell is given by $E=\frac{q}{4\pi {\epsilon }_0{r}^2}$
Here, $r=\frac{4R}{3}$
$\Rightarrow E=\frac{9q}{64\pi {\epsilon }_0{R}^2}$