- #1
lonewolf219
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Question:
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!
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!