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  • Five charges q_1, q_2, q_3, q-4, and q_5 are fixed at their positions, as shown in Fig. 1.4. S is a Gaussian surface. Gauss's law is given by

Five charges q1, q2, q3, q4, and q5 are fixed at their positions, as shown in Figure 1.4. S is a Gaussian surface. Gauss's law is given by

\oint_{s} E.ds=\frac{q}{\varepsilon _0}

Do you know which of the following statements is correct?


A. 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.
B. 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.
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 q1, q3 and q5 only.
D. Both E on the LHS and q on the RHS will have contributions from q2 and q4 only.

Answers (1)

As we know, an Electric field is due to all the charges present inside as well as outside the closed surface, while electric flux is due to the charges present inside the Gaussian surface only.

Therefore, in the left side equation, the electric field is due to all the charges present both inside as well as outside the Gaussian surface.

This shows E on the LHS of the above equation will have a contribution from all charges whereas q on the RHS will have a contribution from q_{2} and q_{4} only.

The correct option is B.

Posted by

infoexpert21

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