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Question

If the symmetry is such that you can find a surface on which the electric field is constant, then evaluating the electric flux can be done by

A
dividing the value of the field by the area of the Gaussian surface.
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B
multiplying the value of the field times the area of the Gaussian surface.
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C
multiplying the square of the value of the field times the area of the Gaussian surface.
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D
dividing the square of the value of the field times the area of the Gaussian surface.
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Solution

The correct option is B multiplying the value of the field times the area of the Gaussian surface.
From gauss law, Flux through the surface, ϕ is
ϕ=E.dS

If the electric field is constant over the surface, then it can be taken out of the integration sign.
ϕ=EdS
dS= Area of gaussian surface
Then flux = Electric field times the area of gaissian surface.

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