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Question 31432
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Electrostatics: Gauss's Law Application MCQ

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Gauss's Law ApplicationHardQuestion 31432

Question

Field inside a spherical cavity (radius a) carved from a uniformly charged solid sphere (radius R, charge density ρ), cavity centre displaced by d from sphere centre:
  1. A
    ρd/(3ε₀) — uniform field inside cavity
    Correct
  2. B
    Zero
  3. C
    Increases toward cavity centre
  4. D
    Same as outside sphere

Correct answer

ρd/(3ε₀) — uniform field inside cavity

Explanation

By superposition: field = (field of full sphere) − (field of material removed). The cavity has uniform E = ρd/(3ε₀) directed from sphere centre to cavity centre.

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