A point charge Q has an electric field E = e,kQ/r². To check if Gauss's law is valid even for nonsymmetric gaussian surf

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A Point Charge Q Has An Electric Field E E Kq R To Check If Gauss S Law Is Valid Even For Nonsymmetric Gaussian Surf 1 (47.42 KiB) Viewed 13 times

A point charge Q has an electric field E = e,kQ/r². To check if Gauss's law is valid even for nonsymmetric gaussian surfaces, we consider an aquarium-like surface consisting of a sphere of radius R from 0 = 0 to 0 = π, topped by a circular disc of radius R sin 00 whose center is at z = 20 = R cos 00= π/3. For the spherical surface, the differential area element e, R sin 0 de do. On the other hand, for the disc surface, use the differential area element es ds do, where s = √² – 2² for s = 0 to s = R sin 00 and 6 = 0 to = 27. Note that e, e₂ = cos 0. You must illustrate the coordinate systems, gaussian surfaces, and differential area elements with respect to the charge Q. .