The electric field in a region is given by →E=35Eoˆi+45Eoˆj with Eo=2.0×103 N/C. Find the flux of this field (in Nm2C−1) through a rectangular surface of area 0.2 m2 parallel to the Y-Z plane.
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Solution
The flux, ϕ=→E.^ndS
As the area parallel to Y-Z plane so normal unit vector to surface is ^n=^i
So, ϕ=(3/5E0^i+4/5E0^j).^i(0.2)=(3/5)E0×0.2=(3/5)×(2×103)(0.2)=240N.m2/C