Question

Inside a hollow conducting sphere :

• A. electric field is zero
• B. electric field is a non zero constant
• C. electric field changes with magnitude of the charge given to the conductor
• D. electric field changes with distance from the center of the sphere

Answer 1

The correct option is A electric field is zero

Inside the hollow conducting sphere, electric field is zero.

This can be seen using Gauss' Law,

$\int \overrightarrow{E}.\overrightarrow{dS}=\frac{q}{{\epsilon }_0}$

Consider a hollow conducting sphere of radius $R$.

To find the electric field at a point inside electric field, consider a gaussian sphere of radius $r(r<R)$

Using Gauss' Law, we get

$E\left(4\pi r^2\right)=\frac{q}{{\epsilon }_0}$

Since charge enclosed within the gaussian surface is zero. So, $\overrightarrow{E}$ inside gaussian surface is also zero.