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Five charges q1 q2, q3, q4, and q5 are f...

Five charges `q_1 q_2, q_3, q_4`, and `q_5` are fixed at their positions as shown in figure. S is a Gaussian surface. The Gauss's law is given by `int_(S)vecE.vec(ds) = q/epsilon_(0)`. Which of the following statements is correct?

A

`vecE` on the LHS of the above equation will have a contribution from `q_(1),q_(5)` and `q_3` while q on the RHS will have a contribution from `q_2` and `q_4` only.

B

`vecE` on the LHS of the above equation will have a contribution from all charges while q on the RHS will have a contribution from `q_2` and `q_4` only.

C

`vecE` on the LHS of the above equation will have a contribution from all charges while q on the RHS will have a contribution from `q_1 ,q_3` and `q_5` only.

D

Both `vecE` on the LHS and q on the RHS will have contributions from `q_2` and `q_4` only.

Text Solution

Verified by Experts

The correct Answer is:
B
n equation, `vecE` is electric field on closed surface by charges inside or outside it.
But, `q_1` is the charge enclosed by the closed surface, the charges outside the surface are not taken into consideration.
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