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Q.

A large plane charge sheet having charge density σ=2×10−6C/m2 lies in the x−y plane. Find the flux of the electric field through a circular area of radius 1cm lying completely in the region where x, y, z are all positive and with its normal making an angle of  600 with the z−axis

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answer is 0017.74.

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Detailed Solution

Electric field near the plane charge sheet  E=σ2∈0 The area ΔS=πr2=3.14×10−4m2 The flux  ϕ=E→.ΔS→=EΔScosθ=σ2∈0πr2cos600                              =2×10−6×3.14×10−4×122×8.85×10−12                              =17.74 N−m2/C
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