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Question

A square surface of side L meter in the plane of the paper is placed in a uniform electric field E(volt/m) acting along the same plane at an angle with the horizontal side of the square as shown in figure. The electric flux linked to the surface,in units of voltm, is
68665_875f09152e3f488ea963af62335cd5b4.png

A
EL2
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B
2cosθ
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C
2sinθ
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D
Zero
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Solution

The correct option is C Zero
The electric flux linked to the surface is given by:
ϕE=E.dA

The angle between the area vector and the field lines is 90o.
Thus,
ϕE=EAcosθ=0

Also,
As, there is no field line crossing the surface, the electric flux linked to the surface will be zero.


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