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exuberant.me
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Q) A solid non-conducting sphere of radius R carries non-uniform charge distribution with charge density ρ = ρs(r/R), where ρs is a constant. Show that
(a) the total charge on the sphere is Q = ∏ρsR3, and
(b) find the electric field inside the sphere.
Now first part (a) is fairly easy,
assumed a sphere of radius x and then after further integration got the result
But i need an idea for the second part..
since there is no symmetry so "Gauss" theorem is of no use applying...
I think i need an integration there as well. But can someone provide me an idea on how to continue further. Thanks in advance.
(a) the total charge on the sphere is Q = ∏ρsR3, and
(b) find the electric field inside the sphere.
Now first part (a) is fairly easy,
assumed a sphere of radius x and then after further integration got the result
But i need an idea for the second part..
since there is no symmetry so "Gauss" theorem is of no use applying...
I think i need an integration there as well. But can someone provide me an idea on how to continue further. Thanks in advance.