    Question

# A large plane charged sheet having surface charge density σ=+2×10−6 C/m2 lies in the x-y plane. Find the flux of the electric field through a circular area of radius 1 cm lying completely in the region where x, y, z all are positive and with its normal making an angle of 60∘ with the z-axis.

A
16.3 Nm2/C
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B
17.3 Nm2/C
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C
8.15 Nm2/C
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D
34.6 Nm2/C
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Solution

## The correct option is B 17.3 Nm2/CGiven, Surface charge density of the given sheet, σ=2×10−6 C/m2 Radius of circular area, r=1 cm Electric field near the plane charged sheet, E=σ2ϵ0 Substituting the values , E=2×10−62×8.85×10−12=1.1×105 N/C And the electric field acts in the z- direction (normal to the sheet). Area of given surface, A=πr2 ⇒A=3.14×(0.01)2=3.14×10−4 m2 Positive normal to it make an angle of 60∘ with z-axis. ∴θ=60∘ Electric flux through the given surface, ϕ=→E.→A=EAcosθ Substituting the values, ϕ=1.1×105×3.14×10−4×cos60∘ ∴ϕ=17.3 N-m2/C  Suggest Corrections  1      Explore more