First slide

Magnetic Dipole moment

Question

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

Moderate

A

$1 L^{2} / 4 {πAm}^{2}$
B

${I L}^{2} / 4 {Am}^{2}$
C

${IπL}^{2} / 4 {Am}^{2}$
D

$21 L^{2} / {πAm}^{2}$

Solution

Length of wire, L = $2 πR$
Radius of loop, $R = \frac{L}{2 π}$
Magnetic moment, M = IA
$\begin{array}{l} = 1 (\frac{{πL}^{2}}{4 π^{2}}) \\ = \frac{{IL}^{2}}{4 π} {Am}^{2} \end{array}$

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