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a) Using point form of Gausss law, derive expressions for Poissons and Laplaces equations in rectangular coordinates. b) Let V (x, y) = 10e 3x

a) Using point form of Gauss’s law, derive expressions for Poisson’s and Laplace’s equations in rectangular coordinates. b) Let V (x, y) = 10e 3x + f(x) − 5y 2 in a region of free space where ρv = 0. It is known that both Ex and V are zero at the origin. Find f(x) and V (x, y)?

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