Two conducting circular loops of radii R1 and R2 are placed in the same plane with their centres coinciding. If R1 > > R2, the mutual inductance M between them will be directly proportional to
Two conducting circular loops of radii R1 and R2 are placed in the same plane with their centres coinciding. If R1 > > R2, the mutual inductance M between them will be directly proportional to

(a) R1/R2

(b) R2/R1

(c)  R12/R2

(d)  R22/R1

Solution: Answer (4)

The magnetic field at the centre of the primary coil is given by:

B=\frac{{{\mu }_{0}}I}{2{{R}_{1}}}

Considering it to be uniform, the magnetic flux passing through the secondary coil is