Question

The given equation satisfies the Laplace equation. (a) V = x^2 + y^2 – z^2. State True/False. (b) True (c) False This question was addressed to me in an international level competition. My question is taken from Poisson and Laplace Equation in section Electrostatic Boundary Value Problem 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

Answer 1

The correct choice is (a) V = x^2 + y^2 – z^2. State True/False. To explain I would say: Grad (V) = 2xi + 2yj – 4zk. Div (Grad (V)) = Del^2(V) = 2+2-4 = 0. It satisfies the Laplacian equation. Thus the statement is true.