A wire of length L metre carrying a current o | vedclass

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

Question

(A) The length of the wire is $L$,which forms the circumference of the circular loop.Therefore,$L = 2 \pi R$,where $R$ is the radius of the circle.Fro

Vedclass · Accepted Answer

$\frac{I L^{2}}{4 \pi} \; A \cdot m^{2}$

Vedclass · Answer

(A) The length of the wire is $L$,which forms the circumference of the circular loop.Therefore,$L = 2 \pi R$,where $R$ is the radius of the circle.From this,the radius is $R = \frac{L}{2 \pi}$.The area $A$ of the circular loop is given by $A = \pi R^{2}$.Substituting the value of $R$,we get $A = \pi \left( \frac{L}{2 \pi} \right)^{2} = \pi \left( \frac{L^{2}}{4 \pi^{2}} \right) = \frac{L^{2}}{4 \pi}$.The magnetic moment $M$ of a current-carrying loop is given by $M = I A$.Substituting the value of $A$,we get $M = I \left( \frac{L^{2}}{4 \pi} \right) = \frac{I L^{2}}{4 \pi} \; A \cdot m^{2}$.

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

Similar Questions

$A$ current-carrying small loop behaves like a small magnet. If $A$ is its area and $M$ is its magnetic moment,the current in the loop will be

Two thick wires and two thin wires,all of the same material and same length,form a square in three different ways $P, Q,$ and $R$ as shown in the figure with the current connection indicated. The magnetic field at the centre of the square is zero in cases:

An electron moves in a circular orbit with a uniform speed $v$. It produces a magnetic field $B$ at the centre of the circle. The radius of the circle is proportional to

In a hydrogen atom,an electron revolves around the nucleus at a frequency of $6.6 \times 10^{15} \, \text{rev/sec}$ in an orbit of radius $0.528 \, \mathring{A}$. The magnetic moment in $\text{A} \cdot \text{m}^2$ is:

$A$ wire of length $L \ m$ carrying a current $I \ A$ is bent in the form of a circle. The magnitude of its magnetic moment is

Vedclass Test Series

Exam Paper Generator

Online Exam Module