Question

The total electric flux through a closed spherical surface of radius \( r \) enclosing an electric dipole of dipole moment \( 2aq \) is (Give \( \epsilon_0 \) = permittivity of free space)

• A. Zero
• B. \( \frac{q}{\epsilon_0} \)
• C. \( \frac{2q}{\epsilon_0} \)
• D. \( \frac{8\pi r^2 q}{\epsilon_0} \)

Answer 1

The Correct Option is A

The electric flux \( \Phi_E \) through a closed surface surrounding an electric dipole is given by Gauss’s Law:
\( \Phi_E = \frac{Q_{\text{enc}}}{\epsilon_0} \) where \( Q_{\text{enc}} \) is the net charge enclosed by the surface and \( \epsilon_0 \) is the permittivity of free space.
Since an electric dipole consists of two equal and opposite charges, the total charge enclosed by the surface is zero.
 Therefore, the total electric flux through the surface is also zero:\( \Phi_E = 0 \)