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Concepts Of Physics MCQ Edition [Volume 2]PhysicsGauss's Law

Electric charges occupy a small volume. The electric flux through a spherical surface of radius 10 cm enclosing the entire charge is 25 V m . Determine the flux over a concentric sphere of radius 20 cm .

Options

  1. A200 V m
  2. B25 V m
  3. C50 V m
  4. D100 V m

Correct answer

B. 25 V m

Step-by-step solution

According to Gauss's law, the total electric flux through a closed surface is given by = q_ enclosed ₀ . The flux depends only on the total charge enclosed by the surface and is independent of the size or shape of the closed surface. Since the entire charge is enclosed by both the 10 cm and 20 cm spheres, the enclosed charge remains the same. Therefore, the electric flux through the 20 cm sphere will be the same as that through the 10 cm sphere, which is 25 V m .

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