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  4. A uniform conducting wire of length length 10a and resistance R is wound up into four turn as a current carrying coil in the shape of equilateral triangle of side a. If current I is flowing through the coil then the magnetic moment of the coil is <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/physics/b9535912cb3e9c279065d0eb0bf2134e-.jpeg />

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Q. A uniform conducting wire of length length $10a$ and resistance $R$ is wound up into four turn as a current carrying coil in the shape of equilateral triangle of side $a$. If current $I$ is flowing through the coil then the magnetic moment of the coil is
image

Moving Charges and Magnetism

Solution:

Magnetic moment $M=NIA$
$=4\times I\times a^{2} \frac{\sqrt{3}}{4}$
$=\sqrt{3}a^{2}\,I$