Question

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

• A. \( \frac{5q}{\epsilon_0} \)
• B. \( \frac{4q}{\epsilon_0} \)
• C. \( \frac{3q}{\epsilon_0} \)
• D. \( \frac{q}{\epsilon_0} \)

Answer 1

The Correct Option is B

According to Gauss’s law, the electric flux Φ through a closed surface is given by:

\(Φ = \frac{q_{in}}{\epsilon_0}\),

where q_in 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).