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YoGabbaGabba
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Homework Statement
In a sphere of radius R, the charge density varies as [tex]\rho[/tex](r) = BrN. There is no charge outside the sphere. B and N are constants.
a.) Find the charge enclosed in a sphere of radius r<R.
Homework Equations
[tex]\rho[/tex]=dq/dv
The Attempt at a Solution
I integrated [tex]\rho[/tex](r)(4[tex]\pi[/tex]r2dr) and got q=(4[tex]\pi[/tex]BrN+3)/(N+3) + C. Is this right? If so, would it be correct to use the boundary condition; @ r=R, q=0 in order to solve for C? It doesn't sound right because there must be charge at the surface?