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# A uniform conducting wire of length $12a$ and resistance R is wound up as a current carrying coil in the shape of an equilateral square of side a. the coil is connected to a voltage source of $V_0$ Find the magnetic moment of the coil .

$\begin{array}{1 1} 3aI \\ 4a^2I \\ 3a^2I \\ 4aI \end{array}$

$n= \large\frac{12}{4}$$=3$ and $A=a^2$
Magnetic moment $M= nIA$
$M= s \times I \times a^2$
$\quad= 3a^2I$
Answer :$3a^2I$