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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 definedThe question was asked in homework.My question is based upon Laplacian Operator topic in portion Vector Calculus of Electromagnetic Theory

Answer»

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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