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Electrostatics: Gauss's Law Application MCQ

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Gauss's Law ApplicationMediumQuestion 31425

Question

Using Gauss's law, field inside a solid uniformly charged sphere (radius R) at distance r < R:
  1. A
    kQ/r²
  2. B
    kQr/R³
    Correct
  3. C
    kQ/R²
  4. D
    Zero

Correct answer

kQr/R³

Explanation

Enclosed charge = Q(r/R)³. E×4πr² = Q(r/R)³/ε₀. E = kQr/R³ ∝ r inside the sphere.

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