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A solid sphere of radius R has a non-uniform charge distribution of p=Ar^2, where A is constant. Find total charge Q within the volume of the sphere.

p=roe

p=Q/dV

EdA=qenclosed/Enaught

Can you use Gauss' Law for this problem when sphere is solid? If so, how?

Since p is non-uniform, we must integrate dq, correct? The answer to this question in the book is 4/5pieAr^5.

But how to get the answer? I think dq=Ar^2dV. But to have dV=4pier^2 is incorrect since the charge is not on the surface of the sphere (it is not a conductor), am I wrong?

Some help would be appreciated!!!! Thanks!

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# Homework Help: Gaussian solid sphere Q

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