We need to find the magnetic moment which is given as,
M=NIA
Where, N= Number of turns.
I= Current in the coil.
A= Area of the coil,which is a circle.
Now try to understand,
When the wire of length L is bent in the form of the circle, the perimeter of the circle will be L.
So, 2πr=L
⇒r=L/2π
So, you can find the area now which is,
A=πr2=π×L2 /4π2=L/4π
Here N=1
So magnetic moment has a magnitude of,
Direction :-
Suppose the coil is on the plane of the paper.
If the direction of current is clockwise then according to right hand thumb rule magnetic moment will be
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