Five charges +q, +5q, –2q, +3q and –4q are situated as shown in the figure. The electric flux due to this configuration through the surface S is
- \( \frac{5q}{\epsilon_0} \)
- \( \frac{4q}{\epsilon_0} \)
- \( \frac{3q}{\epsilon_0} \)
- \( \frac{q}{\epsilon_0} \)
The Correct Option is B
Solution and Explanation
According to Gauss’s law, the electric flux Φ through a closed surface is given by:
\(Φ = \frac{q_{in}}{\epsilon_0}\),
where qin is the total charge enclosed by the surface.
In this problem, the charges enclosed by the surface are \(q_{in} = q + (-2q) + 5q = 4q\).
Thus, the electric flux is:
\(Φ = \frac{4q}{\epsilon_0}\).
The correct answer is Option (2).
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