LR Circuit with DC Source

In the circuit shown, the power consumed by the bulb$B_1$ long after the key $K$ is closed is (inductor is ideal)

In the given circuit key is closed at $t=0$. At what time the potential difference across inductor is one fourth of emf of the cell.

Time constant of the given $L-R$ circuit is

In the circuit shown the reading of ammeter long time after the key is closed is

In a particular R-L series circuit a voltage of $10 \mathrm{V}$ at $50 \mathrm{Hz}$ produces a current of $700 \mathrm{mA}$ while the same voltage at $75 \mathrm{Hz}$ produces $500 \mathrm{mA}$. What are the values of $R$ and $L$ in the circuit ?

In the circuit current through source will be [Given $\left({\cos }^{-1}\left(0.6\right)=53°\right)$]

$V=10+10\sqrt{2}\sin \left(100\pi t+45°\right)$

In the circuit shown in the figure, $\mathrm{R}=\sqrt{\frac{\mathrm{L}}{\mathrm{C}}}$. Switch $S$ is closed at time $t=0$. The current through $C$ and $L$ would be equal after a time $t$ equal to

In the given circuit, $R_1=4 \mathrm{\Omega }, R_2=2 \mathrm{\Omega } \text{and }{R}_3=10 \mathrm{\Omega }$ the battery has emf $E=10 \mathrm{V}$ and negligible internal resistance, the inductance of the inductor $L=400 \mathrm{mH}$. Find the potential drop across the inductor as a function of time, if at $t=0$ switch $S$ is closed.

The time constant of the given circuit, containing an inductor and few resistors, is 

In the circuit shown here, the point '$C$' $A$is kept connected to point '' till the current flowing through the circuit becomes constant. Afterwards, suddenly, point '$C$' $A$is disconnected from point '' and connected to point '$B$' at time $t=0$. Ratio of the voltage across resistance and the inductor at $t=\frac{L}{R}$ will be equal to:

          

When a $LR$ circuit with $L=3 \mathrm{mH}$ is connected in series to an $AC$ source of $\mathrm{rms}$ voltage $30 \mathrm{V},$ a maximum rms current of $6 \mathrm{A}$ is observed at frequency $\left(\frac{500}{\pi }\right)\mathrm{Hz}.$ If this $LR$ circuit is now connected to a battery of emf $21 \mathrm{V}$ and internal resistance of $3 \mathrm{\Omega },$ the current will be

Consider a part of network as shown below:

If at a certain instant, the current $i$ is $5 \mathrm{A}$ and it is decreasing at the rate of ${10}^3 \mathrm{A} {\mathrm{s}}^{-1}$, then $V_{\mathrm{B}}-V_{\mathrm{A}}$ is,

In the inductive circuit given in the figure, the current rises after the switch is put on. At instant when the current is $15 \mathrm{mA},$ then potential difference across the inductor will be :-

$L\text{,} C \text{and} R$, respectively, indicate inductance, capacitance and resistance. Select the combination which does not have dimensions of frequency.

Identify the correct statement out of the following options regarding the given circuit.

For a certain inductive coil, it is known that its time constant is $2.0\times {10}^{-3} \mathrm{s}$. If a $90 \mathrm{\Omega }$ resistance is joined in series with the coil, the time constant becomes $0.5\times {10}^{-3} \mathrm{s}$. Hence, find the inductance and resistance of the coil.

With respect to the given L-R circuit, $i_1$ is the initial current and $i_2$ is the steady state current through the battery. Then, calculate the ratio $\frac{i_1}{i_2}$.

In a $\mathrm{LR}$ circuit, an inductance of $300 \mathrm{mH}$ and a resistance of $2 \mathrm{\Omega }$ are connected in series to a source of voltage $2 \mathrm{V}$. What is the time when the current in the circuit reaches half of its steady state value?

Calculate the time constant for the adjoining circuit that contains an inductor with a few resistors.

How much time does a $10 \mathrm{H}$ solenoid of $2 \mathrm{\Omega }$ resistance require, to attain the magnetic energy equal to ${\left(\frac{1}{4}\right)}^{\mathrm{th}}$ of its maximum magnetic energy, when connected to a $10 \mathrm{V}$ battery?