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 zero on a circle on the sphere
• D. The electric field is not zero anywhere on the sphere

Answer 1

Answer: (A), (D)

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.