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Given the potential V = 25 sin θ, in free space, determine whether V satisfies Laplace’s equation.

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Given the potential V = 25 sin θ, in free space, determine whether V satisfies Laplace’s equation. (a) Yes (b) No (c) Data sufficient (d) Potential is not defined The question was asked in homework. My question is based upon Laplacian Operator topic in portion Vector Calculus of Electromagnetic Theory Select the correct answer from above options Electromagnetic Theory questions and answers, Electromagnetic Theory questions pdf, Electromagnetic Theory question bank, Electromagnetic Theory questions and answers pdf, mcq on Electromagnetic Theory pdf,electromagnetic theory book pdf,electromagnetic theory pdf notes,electromagnetic theory lecture notes,electromagnetic theory of light,maxwell electromagnetic theory,electromagnetic theory proposed by,electromagnetic theory engineering physics,electromagnetic theory nptel

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The correct answer is (a) Yes Easy explanation: (Del)^2V = 0 (Del)^2V = (Del)^2(25 sin θ), which is not equal to zero. Thus the field does not satisfy Laplace equation.

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