Q. $PQ$ and $RS$ are long parallel conductors separated by certain distance. $M$ is the mid-point between them (see the figure). The net magnetic field at $M$ is $B$. Now, the current 2 A is switched off. The field at $M$ now becomes

A) $2B$
B) $B$
C) $\frac{B}{2}$
D) $3B$
Explanation

(b) Magnetic field at mid-point $M$ in first case is $B = B_{PQ} - B_{RS}$
$(\therefore B_{PQ}\ and\ B_{RS}\ are\ in\ opposite\ directions)$
$= \frac{4{\ \mu}_{0}}{4\pi d} - \frac{2\ \mu_{0}}{4\pi d} = \frac{2{\ \mu}_{0}}{4\pi d}$
When the current 2 A is switched off, the net magnetic field at $M$ is due to current 1 A
$B^{'} = \frac{\mu_{0} \times 2 \times 1}{4\pi d} = B$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.