Electric Field due to a Shell (hollow sphere) of charge
Consider a shell having a charge Q uniformly distributed on it surface. The surface charge density is
.
where R is radius of shell.
Case 1: Field outside the shell (radial distance > R)
We enclose the shell in a Gaussian sphere.
By Gauss law
[The result is same as that of the point charge]
Case 2: Field inside the shell (radial distance < R)
As a charge enclosed by the Gaussian sphere = 0
Consider a shell having a charge Q uniformly distributed on it surface. The surface charge density is
. where R is radius of shell.Case 1: Field outside the shell (radial distance > R)
We enclose the shell in a Gaussian sphere.By Gauss law
[The result is same as that of the point charge]Case 2: Field inside the shell (radial distance < R)As a charge enclosed by the Gaussian sphere = 0
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