Find out the surface charge density at the intersection of point x=3m plane and x-axis in the region of uniform line charge of 8 nC/m lying along the z-axis in free space.
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a
4.0 nC m-2
b
0.070 nC m-2
c
0.4240 nC m-2
d
47.88 C/m
answer is C.
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Detailed Solution
Energy density = electrostatic pressure ⇒12ε0 E2=σ22ε0 ⇒σ=Eε0 =λ2πε0 rε0 =λ2πr=8 ×10-92×3.14×3=0.424 nCm-2