An insulating solid sphere of radius 'R' is charged in a non uniform manner such that volume charge density ρ=Ar where A is a positive constant and r the distance from centre. Electric field strength at any inside point at distance r1 is:
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a
14πe04πAr1
b
14πe0Ar1
c
Aπe0
d
A2e0
answer is D.
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Detailed Solution
Charge enclosed by sphere of radius r1q=∫ρ4πr2dr=∫0nAr4πr2dr=4πAr122Required electric field = q4πε0r12=A2ε0