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Magnetic induction produced at the centr...

Magnetic induction produced at the centre of a circular loop carrying current is B . The magnetic moment of the loop of radius R is
(Me = permeability of tree space)

Text Solution

Verified by Experts

Let R be the radius of the circular loop. Then,
`A=piR^2` or `R=sqrt(A//pi)`
Magnetic field induction at the centre of circular loop carrying current is
`B=(mu_0)/(4pi)(2piI)/(R)` or `I=(2BR)/(mu_0)`
`M=IA=(2BR)/(mu_0)A=(2BA)/(mu_0)sqrt(A/pi)`
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