Question

Five charges q1, q2, q3, q4, and q5 are fixed at their positions as shown in figure. S is Gaussian surface. The Gauss’s law is given by $\oint_{S}^{}{\overrightarrow{E}.d\overrightarrow{s} = \frac{a}{\varepsilon_{0}}}$. Which of the following statements is correct?

• A. $\overrightarrow{E}$ 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. $\overrightarrow{E}$ 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. $\overrightarrow{E}$ 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 $\overrightarrow{E}$ on the LHS and q on the RHS will have a contributions from q2 and q4 only.

Answer 1

Answer: (B)

$\overrightarrow{E}$ 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.