Q.

Five charges  q1, q2, q3, q4, and q5 are fixed at their positions as shown in Figure, S is a Gaussian surface. The Gauss’s law is given by SE·dS=qε0. Which of the following statements is correct?
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a

 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  q1, q3 and q5 only.

b

Both E on the LHS and q on the RHS will have contributions from  q2 and q4 only.

c

 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 q2 and q4 only.

d

 E on the LHS of the above equation will have a contribution from  q1, q5 and q3 while q on the RHS will have a contribution from q2 and q4 only.

answer is B.

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Detailed Solution

E on the LHS of the above equation will have a contribution from all charges while q because it is the flux of the net electric field, whereas on the RHS ‘q’ will have a contribution from q2 and q4 only(i.e; charge enclosed by the gaussian surface).

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