Two $L-R$ circuits are shown in the figure. Based on the given current-time graph,select the correct relation between the inductances $L_1$ and $L_2$.

An inductor of inductance $10 \text{ mH}$ having resistance of $100 \ \Omega$ is connected to a battery of $E$.$M$.$F$. $1.0 \text{ V}$ through a switch as shown in the figure below. After the switch is closed,the ratio of instantaneous voltages across the inductor when the current passing through it is $2 \text{ mA}$ and $4 \text{ mA}$ is . . . . . . .

When a $DC$ voltage is applied at the two ends of a circuit kept in a closed box,it is observed that the current gradually increases from zero to a certain value and then remains constant. What do you think the circuit contains?

For the given circuit,the current $i$ through the battery when the key is closed and the steady state has been reached is .....$A$.

An inductor $(L = 100 \, mH)$,a resistor $(R = 100 \, \Omega)$ and a battery $(E = 100 \, V)$ are initially connected in series as shown in the figure. After a long time,the battery is disconnected by short-circuiting the points $A$ and $B$. The current in the circuit $1 \, ms$ after the short circuit is

The unit of $L/R$ is (where $L$ = inductance and $R$ = resistance).