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Question

The electric field in a region of space is given by E=5i+2j N/C. Determine the electric flux due to this field through an area 2m2 lying in the YZ plane:

A
10
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B
20
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C
102
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D
229
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Solution

The correct option is B 10
Given electric field E=5ˆi+2ˆjN/C
area =2m2 lies in y-z plane. Since area vector is always perpendicular to the surface. So, area =2m2ˆi; i.e, it lies along the x-axis.
To find flux through the plane:
Since Flux = product of electric field and area vector
So, Flux =(5ˆi+2ˆj)N/C2m2ˆi
=(5×2)(ˆi.^i)Nm2/C
=10Nm2/C

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