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Statement of a problem № 3697

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(a) Using Gauss' law derive Coulomb's formula for the electric field due to an isolated point charge q . (b) A positive charge Q is uniformly distributed in a non-conducting sphere of radius R. Calculate the electric flux passing through the spherical surface of radius r concentric with the sphere for (i) r < R; (ii) r > R.

Solution:
(a)  Using Gauss' law derive Coulomb's formula for the electric field due to an

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