Q. Graph of force per unit length between two long parallel currents carrying conductor and the distance between them is

A) Straight line
B) Parabola
C) Ellipse
D) Rectangular hyperbola
Explanation

(a) The force per unit length between two parallel wires carrying currents $i_{1}and\ i_{2}$ separated by a distance $R$ is given by
$\frac{F}{l} = \frac{\mu_{0}}{2\pi}\frac{i_{1}i_{2}}{2}$
$\Rightarrow \frac{F}{l} \propto \frac{1}{R}$
Hence, graph between force per unit length and distance between wires is a straight line.

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

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