Wednesday, November 13, 2019

electrostatics - Why is the electric field due to a point charge and a uniformly charged spherical insulator outside of the insulator the same?


Assume that the point charge and the spherical insulator have identical charges. I am just wondering why this is the case. I know that from Gauss' Law, the charged enclosed by a Gaussian sphere of a radius r (with r being greater than the radius of the spherical insulator with uniform charge distribution) is the same, so the E field is identical for both.


However, this doesn't make intuitive sense to me. Since the sum of the charges on the spherical insulator are closer to the Gaussian sphere, shouldn't the E field due to the spherical insulator be bigger than for the point charge?




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