Question

# A point charge +10 nC is located on the axis of a disc of radius 1 m at a distance of √3 m from the plane of the disc as shown in the figure. The electric flux from the charge passing through the disc is (Take ϵo=9×10−12 C2/N-m2)

A
64.4 N-m2/C
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B
74.4 N-m2/C
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C
84.4 N-m2/C
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D
94.4 N-m2/C
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Solution

## The correct option is B 74.4 N-m2/C The given disc can be assumed to be the base of an imaginary cone having semi-vertex angle θ. From geometry, tanθ=1√3 ⇒θ=30∘ Now, by Gauss's law, electric flux through a cone is, ϕ=q2ϵ0(1−cos30∘) ϕ=10×10−92×9×10−12(1−cos30∘) ϕ=74.4 N-m2/C

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