Question

Electric charges are uniformly distributed in a small volume. The flux of electric field through a spherical surface of radius 2 cm surrounding the total charge is 10 V x m. The flux over a sphere of radius 4 cm will be:

• A. 10 V x m
• B. 20 V x m
• C. 40 V x m
• D. 80 V x m

Hint:

The electric flux through a spherical surface only depends on the enclosed charge, not on the radius of the sphere.

Answer 1

The Correct Option is A

The flux through a spherical surface depends only on the total charge enclosed, according to Gauss's law: \[ \Phi_E = \frac{q_{\text{enc}}}{\epsilon_0}. \] Since the total charge \( q_{\text{enc}} \) remains constant, the flux through any spherical surface enclosing this charge will be the same. Therefore, the flux through the sphere with a radius of 4 cm is also 10 V x m.