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A wire of length L metre , carrying a c...

A wire of length `L metre ` , carrying a current `I `ampere is bent in the form of a circle . The magnitude of its magnetic moment is …………. ` MKS units ` .

Text Solution

Verified by Experts

Given, length of wire = L
Circumference of circle of redius ` = 2 pi r`
Here, ` 2 pi r = L`
`rArr" " r = L//2 pi`
Area of circle ` A = pi r^(2) = pi L^(2)/(4 pi^(2)) = L^(2)/(4 pi)`
Magnetic moment of circular loop is
`m = IA = I L^(2)/(4 pi)`
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