Question

# Fig. shows four charges q1,q2,q3 and q4 fixed in space. Then the total flux of the electric field through a closed surface S, due to all the charges, is:

A
not equal to the total flux through S due to q3 and q4
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B
equal to the total flux through S due to q3 and q4
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C
zero if q1+q2=q3+q4
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D
twice the total flux through S due to q3 and q4 if q1+q2=q3+q4
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Solution

## The correct option is B equal to the total flux through S due to q3 and q4From Gauss's law, the flux, ϕ=Qenϵ0 where Qen be the charge enclosed by the surface. Here, Qen=q3+q4So, net flux through the closed surface , ϕ=q3+q4ϵ0Thus, it is due to only charges q3 and q4 which are inside the surface.

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