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Question 31484
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Electrostatics: Earnshaw's Theorem MCQ

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Earnshaw's TheoremHardQuestion 31484

Question

Earnshaw's theorem states that:
  1. A
    A charge can be in stable equilibrium under electrostatic forces alone
  2. B
    No stable equilibrium is possible for a charge in an electrostatic field
    Correct
  3. C
    Potential is always zero at equilibrium
  4. D
    Field is always maximum at equilibrium

Correct answer

No stable equilibrium is possible for a charge in an electrostatic field

Explanation

Earnshaw's theorem: ∇²V = 0 (Laplace's equation) in free space means no local maximum/minimum of V, hence no stable equilibrium position for a charge in free space.

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