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

Question

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

Tardigrade Admin · Accepted Answer

The force per unit length between two parallel wires carrying currents

i

and

12

separated by a distance

R

is given by

\frac{F}{l} = \frac{μ _{0}}{2 π} \frac{i _{1} i _{2}}{2}

\Rightarrow \frac{F}{l} α \frac{1}{R}

Hence, graph between force per unit length and distance between wires is a straight line.

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

straight line

parabola

ellipse

rectangular hyperbola

The force per unit length between two parallel wires carrying currents i and 12 separated by a distance R is given by lF​=2πμ0​​2i1​i2​​ ⇒lF​αR1​ Hence, graph between force per unit length and distance between wires is a straight line.