**Electric Field due to a Uniform Sphere of Charge**

Consider a uniform spherical charge distribution in which a charge Q is uniformly distributed over the volume of a sphere of radius R.

The volumetric charge density is given by,

(as the distribution of charge is uniform)

**Case 1: Field outside the sphere (radial distance > R).**

The field has spherical symmetry

By Gauss's law,

[Note that the result is same as that of a point charge]

**Case 2: Field inside the sphere (radial distance < R).**

Consider a Gaussian sphere inside the sphere of charge.

Q = total charge of sphere

Q' = charge enclosed by the Gaussian sphere

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