Question

A closed surface encloses \(n\) electric dipoles. The net electric flux through the closed surface is
(\(\epsilon _{0}\) = permittivity of free space, q = charge)

• A. \(\frac{nq}{\epsilon _{0}}\)
• B. \(n\epsilon _{0}q\)
• C. \(\frac{q}{\epsilon _{0}}\)
• D. \(0\)

Hint:

A dipole has zero net charge, so the enclosed charge and the flux are zero.

Answer 1

The Correct Option is D

Step 1: Formula-first approach
Total enclosed charge is the algebraic sum of all charges inside.

Step 2: Apply
Every $+q$ is paired with a $-q$, so the sum is zero.

Step 3: Why other options fail
The options $nq/\epsilon_0$, $q/\epsilon_0$ and $n\epsilon_0q$ all assume a non-zero net charge, which does not exist here.

Final Answer:
Zero net charge enclosed means zero net flux. \[ \boxed{\text{(D) }0} \]