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Question

In XY plane, there is surface charge density of 5×1016C/m2 on a long uniformly charged sheet. A circular loop of radius 0.1m makes an angle of 60o with Z-axis. Determine the electric flux through the loop.

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Solution

Given σ=5.0×1016C/m2,r=0.1m
θ=600 electric field due to layer of plane charge
E=σ2ϵ0
Flux passing through circular surface
ϕE=EΔScosθ
=σ2ϵ0×πr2cosθ
=5.0×1016×3.14×(0.1)2cos6002×8.85×1012
=4.44×107Nm2C1

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