K K Sharma Solutions for Chapter: Electromagnetic Induction, Exercise 15: LR Circuit

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

For the given circuit, calculate the current which is given by the battery:    

(i)  just after closing the key.

(ii) long time after closing the key.

A coil of inductance $300 \mathrm{mH}$ and resistance $2 \mathrm{\Omega }$ is connected to a source of voltage $2 \mathrm{V}$. The current reaches half of its steady-state value in,

In the given circuit, find the ratio of $i_1$ to $i_2$, where $i_1$ is the initial current and $i_2$ is the steady-state current through the battery.

The ratio of time constant in charging and discharging in the circuit shown in the figure is 

The time constant of an inductance coil is $2.0\times {10}^{-3} \mathrm{s}$. When a $90 \mathrm{\Omega }$ resistance is joined in series, the time constant becomes $0.5\times {10}^{-3} \mathrm{s}$. The inductance and resistance of the coil, respectively, are,

For the circuit shown, which of the following statement is correct?

The network shown in the figure is a part of a complete circuit. If at a certain instant, the current $\left(I\right)$ is $5 \mathrm{A}$ and is decreasing at the rate of ${10}^3 \mathrm{A}/\mathrm{s}$, then $V_B -V_A = \_\_\_\_ \mathrm{V}$.