Alternating Current

Figure shows a circuit contains three identical resistors with resistance $R=9.0\Omega\,$ each, two identical inductors with inductance $L=2.0\mathrm{mH}$ each, and an ideal battery with emf $\epsilon\,=18V$. The…

In the given figure, the charge stored in $6\mu\,F$ capacitor, when points $A$ and $B$ are joined by a connecting wire is _______$\mu\,C$.

An inductor of $10\mathrm{mH}$is connected to a $20V$battery through a resistor of $10\mathrm{k\Omega}$ and a switch. After a long time, when maximum current is set up in the circuit, the current is switched off. The…

Consider a circuit consisting of a capacitor of capacitance $C$ and a coil with $N$ turns per unit length, cross sectional area $S$ and length $d$, where $d^2 \gg S$. There is another coil of length $d/2$, cross…

A circuit with an electrical load having impedance $Z$ is connected with an AC source as shown in the diagram. The source voltage varies in time as $V(t)=300 \sin (400 t) \mathrm{V}$, where $t$ is time in s. List-I…

The circuit shown in the figure contains an inductor $L$, a capacitor $C_0$, a resistor $R_0$ and an ideal battery. The circuit also contains two keys $\mathrm{K}_1$ and $\mathrm{K}_2$. Initially, both the keys are open…

In a circuit shown in the figure, the capacitor $C$ is initially uncharged and the key $K$ is open. In this condition, a current of $1A$ flows through the $1\Omega$ resistor. The key is closed at time $t=t_{0}$. Which…

In the circuit shown, initially there is no charge on capacitors and keys $S_{1}$ and $S_{2}$ are open. The values of the capacitors are $C_{1}=10\mu F,C_{2}=30\mu F$ and $C_{3}=C_{4}=80\mu F.$ Which of the statement(s)…

The instantaneous voltages at three terminals marked $X,Y$ and $Z$ are given by $V_{X}=V_{0}sin⁡\omega t$ $V_{Y}=V_{0}sin⁡(\omega t+\frac{2\pi}{3})$ and $V_{Z}=V_{0}sin⁡(\omega t+\frac{4\pi}{3}).$ An ideal voltmeter is…

In the circuit shown, $L=1μH,C=1μFandR=1k\Omega.$ They are connected in series with an a.c. source $V=V_{0}sin⁡ωt$ as shown. Which of the following options is/are correct?

In the circuit shown below, the key is pressed at time t = 0. Which of the following statement(s) is(are) true?

At time t = 0, terminal A in the circuit shown in the figure is connected to B by a key and an alternating current $I(t)=I_{0}cos⁡(\omega t)$ , with $I_{0}=1A$ and $\omega=500$ rad/s starts flowing in it with the…