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Q.

Figure 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

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a

not equal to the total flux through S due to q3 and q4

b

equal to the total flux through S due to q3 and q4

c

zero if q1+q2=q3+q4

d

twice the total flux through S due to q3 and q4 if q1+q2=q3+q4

answer is B.

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Detailed Solution

Net flux is due to charges inside S only.

ϕ=q3+q4ε0

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Figure 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