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five charge q(1),q(2),q(3),q(4)and q(5) ...

five charge `q_(1),q_(2),q_(3),q_(4)`and `q_(5)` are fixed at their positions as shown in figure .`s` is Gaussian surface .The Gauss's law is given by `ointvec(E).vec(ds)=(q)/(epsilon_(0))`

Which of the following statement is correct?

A

`vec(E)` on the LHS of the above equation will have a contribution from `q_(1), q_(2)` and `q_(3)` while q on the RHS will have a contribution from `q_(2)` and `q_(4)` only.

B

`vec(E)` 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

`vec(E)` 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)` and only.

D

Both `vec(E)` 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

Electric field `(vecE)` is due to all the charges present inside as well as outside the closed surface. But electric flux `(phi=q//epsi_(0))` is contributed only by the charges inside the Gaussian surface.
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