In This post you will get answer of Q.
A straight wire carrying current I is made into a circular loop. If M is the magnetic moment associated with the loop, then the length of the wire is
Solution:
Magnetic moment $M=I A$
According to question,
$2 pi R =L $
$pi R =frac{L}{2}$
$M =frac{I}{pi} pi^{2} R$
$=Ileft(frac{L}{2}right)^{2} $
$M =frac{I}{pi}left(frac{L}{2}right)^{2}$
$M =frac{I}{pi} frac{L^{2}}{4}$
Length of the wire, $L=sqrt{frac{4 M pi}{I}}$
Solution:
Magnetic moment $M=I A$
According to question,
$2 pi R =L $
$pi R =frac{L}{2}$
$M =frac{I}{pi} pi^{2} R$
$=Ileft(frac{L}{2}right)^{2} $
$M =frac{I}{pi}left(frac{L}{2}right)^{2}$
$M =frac{I}{pi} frac{L^{2}}{4}$
Length of the wire, $L=sqrt{frac{4 M pi}{I}}$