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Concepts Of Physics MCQ Edition [Volume 2]
Exam
Concepts Of Physics MCQ Edition [Volume 2]
Subject
Physics
Chapter
Gauss's Law

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

Electric charges occupy a small volume. The electric flux through a...

Electric charges occupy a small volume. The electric flux through a spherical surface of radius 10 cm10 \text{ cm} enclosing the entire charge is 25 V m25 \text{ V m}. Determine the flux over a concentric sphere of radius 20 cm20 \text{ cm}.

Options

  1. A200 V m200 \text{ V m}
  2. B25 V m25 \text{ V m}
  3. C50 V m50 \text{ V m}
  4. D100 V m100 \text{ V m}

Correct answer

B. 25 V m25 \text{ V m}

Step-by-step solution

According to Gauss's law, the total electric flux through a closed surface is given by Φ=qenclosedε0\Phi = \dfrac{q_{\text{enclosed}}}{\varepsilon_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 cm10 \text{ cm} and 20 cm20 \text{ cm} spheres, the enclosed charge remains the same.

Therefore, the electric flux through the 20 cm20 \text{ cm} sphere will be the same as that through the 10 cm10 \text{ cm} sphere, which is 25 V m25 \text{ V m}.
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