Q. Two wires $A\ \ and\ B$ carry currents as shown in figure. The magnetic interactions

A) Push $i_{2}$ away from $i_{1}$
B) Pull $i_{2}$ closer to $i_{1}$
C) Turn $i_{2}$ clockwise
D) Turn $i_{2}$ counterclockwise
Explanation

(d) Magnetic field at point $P$ due to $i_{1},\ B_{1} = \frac{\mu_{0}i_{1}}{2\pi x}\ $ upward perpendicular to plane paper. Therefore, magnetic force on element $P$
[image:4_image124.emf]
$F_{P} = B_{1}i_{2}dx = \frac{\mu_{0}i_{1}i_{2}}{2\pi x}\ dx,$ along $x$-axis
Magnetic field at point $Q$ due to $i_{1}$
$B_{2} =$ $\frac{\mu_{0}i_{1}}{2\pi x},$ downward perpendicular to plane of paper.
$\ F_{Q} = B_{2}i_{x}dx = \frac{\mu_{0}i_{1}i_{2}}{2\pi x}\ dx,$ along (+) x-axis
So, wire $i_{2}$ will be anticlockwise.

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

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