HA 3.1 The field E of a uniformly charged shell. [30 points] Consider a charge q

Question

HA 3.1 The field E of a uniformly charged shell. [30 points] Consider a charge q uniformly distributed on the surface of a hollow sphere (shell) ? of radius R. 1) Calculate E at any point inside and outside ? by means of only symmetry arguments and Gauss' theorem. 10 points] 2) Calculate E at any point inside and outside E by means of only the irrotational property of E and the zero-field condition at infinity and Gauss' theorem. You must use Oth-order canonical curves. [20 points Show calculation in full. Provide as many arguments and comments as possible.

Explanation / Answer

Electric field inside will be zero as field is just due to charge enclosed inside the Gaussian Surface.

And Outside the Shell, Field will be q/4?€or2.

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