Rankers Physics
Topic: Electrostatics
Subtopic: Electric Flux

Electric charges are distributed in a small volume. The flux of the electric field through a spherical surface of radius 10 cm surrounding the total charge is 25 V-m. The flux over a concentric sphere of radius 20 cm will be :
25 V-m
50 V-m
100 V-m
200 V-m

Solution:

The electric flux through a spherical surface depends only on the total enclosed charge, as per Gauss's law:

\[
\Phi = \frac{Q_{\text{enc}}}{\epsilon_0}
\]

Since the total charge enclosed remains the same regardless of the sphere's radius, the flux through the concentric sphere of radius 20 cm will also be 25 V-m.

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