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Electrostatics: Uniqueness Theorem MCQ

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Uniqueness TheoremHardQuestion 31483

Question

Uniqueness theorem in electrostatics states:
  1. A
    Solution to Laplace's equation is unique given boundary conditions
    Correct
  2. B
    There are multiple solutions
  3. C
    Solution depends on initial conditions
  4. D
    Field is always zero inside

Correct answer

Solution to Laplace's equation is unique given boundary conditions

Explanation

Given the potential (or its normal derivative) on all boundaries, the solution to Laplace's equation (∇²V = 0) in a region is unique. Guarantees conductor arrangements have one unique field solution.

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