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Question

In XYplane, there is surface charge density of 5×1016 Cm2 on a long uniformly charged sheet. A circular loop of radius 0.1 m makes an angle of 60 with Z-axis. Determine the electric flux through the loop ?

A
7.68×107 Nm2C1
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B
7.68×109 Nm2C1
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C
9.46×107 Nm2C1
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D
9.46×109 Nm2C1
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Solution

The correct option is A 7.68×107 Nm2C1
Given,
surface charge density,σ=5.0×1016 Cm2
radius of circular loop, r=0.1 m
θ=60

We know that electric field due to uniformly charged sheet,
E=σ2ε0

Flux (ϕ) passing through circular surface will be
ϕ=EdSsinθ

Substituting the values of surface area of circular loop dS, θ and E we get
ϕ=σ2ϵ0×πr2sinθ

ϕ=5.0×1016×3.14×(0.1)2sin 602×8.85×1012

ϕ=7.68×107 Nm2C1

Hence option (a) is the correct answer.

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