Question

An electric dipole is placed at the centre of a sphere. Select the correct option. (More than one option may be correct)

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

Answer 1

Answer: (A), (C)

The flux of the electric field through the sphere is zero
The electric field is not zero anywhere on the sphere

The electric dipole contain two equal and opposite charge. So total charge is zero inside the sphere. Apply Gauss's law, the flux,$\varphi =\frac{Q_{en}}{{ϵ}_0}$ where $Q_{en}$ is the charge enclosed by the sphere. i.e $Q_{en}=0$ so $\varphi =0$.
The electric field is the resultant field effect due to all charge. So the filed is not zero inside sphere or any other point on the sphere.