In situations with high symmetry, as in the following example s, it greatly simp

Question

In situations with high symmetry, as in the following example s, it greatly simplifies the mathematical calculations if you select a Gaussian surface such that it matches the symmetry of your situation. The goal is to get the same result for É dÄ on each surface part that makes up a section of the Gaussian surface. For each of the scenarios, select the shape of the Gaussian surface that would work "best a) electric field of a point charge Select ] I Select ] cylinder concentric sphere cube The best matching closed surface would be a b) Electric field of an infinitely ling straight un

Explanation / Answer

a) For point charge, the Gaussian surface must be such that electric field along the surface is constant and the area between electric field and area vector remains same along the surface. Considering these two conditions the ideal surface will be a Concentric sphere

b) Assuming E and angle symmetry, in this case, the ideal surface will be a concentric cylinder.

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