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Question 31590
JEE Physics · Hard

Capacitance: Self-Energy of Charged Sphere MCQ

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Self-Energy of Charged SphereHardQuestion 31590

Question

Energy stored in the electric field of an isolated conducting sphere (radius R, charge Q) is:
  1. A
    kQ²/R
  2. B
    kQ²/(2R)
    Correct
  3. C
    kQ²R
  4. D
    kQ/R²

Correct answer

kQ²/(2R)

Explanation

U = ½Q²/C = ½Q²/(4πε₀R) = kQ²/(2R). This equals ½QV where V = kQ/R is the potential of the sphere.

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