JEE Physics · Medium

Capacitance: Spherical Capacitor MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Spherical CapacitorMediumQuestion 31512

Question

For a spherical capacitor with inner radius a and outer radius b, capacitance is:
  1. A
    4πε₀ab/(b−a)
    Correct
  2. B
    4πε₀(b−a)/ab
  3. C
    4πε₀/(b−a)
  4. D
    4πε₀ab

Correct answer

4πε₀ab/(b−a)

Explanation

Potential difference between shells gives C = 4πε₀ab/(b−a).