Two wires of the same length are used to form | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) Let the length of the wire be $l$. For a square loop,the side of the square is $a = l/4$.Hence,its magnetic moment is $M_{sq} = i A = i (l/4)^2 =

Vedclass · Accepted Answer

$4: \pi$

Vedclass · Answer

(A) Let the length of the wire be $l$. For a square loop,the side of the square is $a = l/4$.Hence,its magnetic moment is $M_{sq} = i A = i (l/4)^2 = i l^2 / 16$.For a circular loop,the circumference is $2 \pi r = l$,so the radius is $r = l / (2 \pi)$.Hence,its magnetic moment is $M_{cir} = i A = i \pi r^2 = i \pi (l / (2 \pi))^2 = i \pi (l^2 / 4 \pi^2) = i l^2 / (4 \pi)$.The ratio of the magnetic moment of the circle to that of the square is:$\frac{M_{cir}}{M_{sq}} = \frac{i l^2 / (4 \pi)}{i l^2 / 16} = \frac{16}{4 \pi} = \frac{4}{\pi}$.

Two wires of the same length are used to form a circle and a square. They carry the same current. The ratio of the magnetic moment of the circle to that of the square is:

Similar Questions

$A$ wire of length $L$ $m$ carrying a current of $I$ $A$ is bent in the form of a circle. Its magnitude of magnetic moment will be

Due to the flow of current in a circular loop of radius $R$,the magnetic field produced at the centre of the loop is $B$. The magnetic moment of the loop is:

The magnetic moment of a circular orbit of radius $r$ carrying a charge $q$ and rotating with velocity $v$ is given by

$A$ wire of length $L$ metre carrying a current of $I$ ampere is bent in the form of a circle. Its magnetic moment is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module