JEE Physics · Hard

Capacitance: Self-Capacitance of Earth MCQ

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

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Self-Capacitance of EarthHardQuestion 31514

Question

Taking Earth's radius as 6400 km, its self-capacitance is approximately:
  1. A
    711 μF
    Correct
  2. B
    711 pF
  3. C
    711 F
  4. D
    711 mF

Correct answer

711 μF

Explanation

C = 4πε₀R = (6.4×10⁶)/(9×10⁹) ≈ 711 μF. Earth is a very large capacitor.