A solid insulating sphere of radius R has a volume charge density of Ar^2, where

Question

A solid insulating sphere of radius R has a volume charge density of Ar^2, where A is constant and r<R is measured from the center of the sphere. Find the electric field's magnitude at a distance 2R from the center of the sphere, as a function of A, R, and Epsilon_0.
A solid insulating sphere of radius R has a volume charge density of Ar^2, where A is constant and r<R is measured from the center of the sphere. Find the electric field's magnitude at a distance 2R from the center of the sphere, as a function of A, R, and Epsilon_0.

Explanation / Answer

solution: The electric field a distance r from the centre of a uniformly charged sphere of radius R is given by E = E_rr^ where E_r = 1/4pe_0(Q/R^3)r Here E = ?E_rr^           = ?*1/4pe_0(Q/R^3)r ? = Ar^2 R= 2R hence E= Ar^2/4?e_0(Q/8R^9)r

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