Two conducting circular loops of radii $R_{1}$ and $\mathrm{R}_{2}$ are placed in the same plane with their centres coinciding. If $R_{1}>>R_{2}$, the mutual inductance $M$ between them will be directly proportional to:
$\frac{R_{1}}{R_{2}}$
$\frac{R_{2}}{R_{1}}$
$\frac{\mathrm{R}_{1}^{2}}{\mathrm{R}_{2}}$
$\frac{\mathrm{R}_{2}^{2}}{\mathrm{R}_{1}}$
Write formula for mutual inductance for two very long coaxial solenoids of length $\mathrm{l}$.
Two coil $A$ and $B$ have coefficient of mutual inductance $M = 2H$. The magnetic flux passing through coil $A$ changes by $4$ Weber in $10$ seconds due to the change in current in $B$. Then
An electric current $i_1$ can flow either direction through loop $(1)$ and induced current $i_2$ in loop $(2)$. Positive $i_1$ is when current is from $'a'$ to $'b'$ in loop $(1)$ and positive $i_2$ is when the current is from $'c'$ to $'d'$ in loop $(2)$ In an experiment, the graph of $i_2$ against time $'t'$ is as shown below Which one $(s)$ of the following graphs could have caused $i_2$ to behave as give above.
$A$ long straight wire is placed along the axis of a circular ring of radius $R$. The mutual inductance of this system is
Two conducting circular loops of radii ${R_1}$ and ${R_2}$ are placed in the same plane with their centres coinciding. If ${R_1} > > {R_2}$, the mutual inductance $M$ between them will be directly proportional to