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Current I flowing in a current varrying conductor of length l .when bent into circular gorm of n turn its new magnetic moment will be

Current I flowing in a current varrying conductor of length l .when bent into circular gorm of n turn its new magnetic moment will be

Grade:12

1 Answers

ROSHAN MUJEEB
askIITians Faculty 833 Points
3 years ago
Visualise the question first.

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=L2π

So you can find the area now which is,

A=πr2=π×L24π2=L24π

Here N=1

So magnetic moment has a magnitude of,

M=NIL24π


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