Two conducting circular loops of radii $R_1$ and $R_2$ are placed in the same plane with their centres coinciding. If $R_1\gg R_2$, the mutual inductance $M$ between them will be directly proportional to:
A $\frac{R_2}{R_1}$
B $\frac{R_1^2}{R_2}$
C $\frac{R_2^2}{R_1}$
D $\frac{R_1}{R_2}$