Question

An infinite long, straight, current carrying wire, is kept along the axis of a circular loop of radius $R$. If the current through the wire is varies, mutual inductance between the wire and the loop will be

• A. $\frac{{\mu }_0\pi R}{2}$
• B. $\frac{{\mu }_0\pi R^2}{2}$
• C. ${\mu }_0\pi R^2$
• D. Zero

Answer 1

The correct option is D Zero

In this case, all the magnetic field lines due to the infinite straight current carrying wire will lie in the plane of the loop, so, no net flux is linked with the loop.

Therefore, the mutual inductance of wire and loop will be zero.

Hence, option $\left(D\right)$ is the correct answer.