Question

An electric dipole is placed at the centre of a sphere. Mark the correct options:

• A. The electric field is zero at every point of the sphere
• B. The flux of the electric field through the sphere is non-zero
• C. The electric field is zero on a circle on the sphere
• D. The electric field is not zero anywhere on the sphere

Answer 1

The correct option is D The electric field is not zero anywhere on the sphere

The flux of electric field through the sphere is given by:
$\varphi =\frac{Q_{enclosed}}{{ϵ}_0}$
Since $Q_{enclosed}=0$ flux is zero.
But this does not mean that E will also be zero it may or maynot be zero. In this question E is non-zero anywhere on the sphere.