First slide
Gauss's Law
Question

Charge is distributed non-uniformly in the volume of a solid insulating sphere of radius 'a' such that volume charge density (ρ) varies with distance from the centre (r) as ρ (r) = Cr2r  a here C is a constant. Magnitude of electric field strength outside the sphere, i.e., for r > a, is : 

Moderate
Solution

Total charge Q = ρdv=Cr2(4πr2dr)=4πC0qr4dr=4πCa55

Electric field = Q4πe0r2=Ca55e0r2

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