Alternating Current — JEE Advanced PYQs

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 sectional area $S/2$ and $2N$ turns per unit length completel …

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 $V(t)=300\sin (400t)\mathrm{V}$, where $t$ is time in s. List-I shows various options for the load. The possible currents …

A series LCR circuit is connected to a $45\sin (\omega t)$ Volt source. The resonant angular frequency of the circuit is $10^5\mathrm{rad}{\mathrm{s}}^{-1}$ and current amplitude at resonance is $I_0$. When the angular frequency of the source is …

In a circuit, a metal filament lamp is connected in series with a capacitor of capacitance $\mathrm{C}\mu F$ across a 200 V, 50 Hz supply. The power consumed by the lamp is 500 W while the voltage drop across it is 100 V. Assume that there is no inductive load in the circuit. …

In a circuit, a metal filament lamp is connected in series with a capacitor of capacitance $\mathrm{C}\mu F$ across a 200 V, 50 Hz supply. The power consumed by the lamp is 500 W while the voltage drop across it is 100 V. Assume that there is no inductive load in the circuit. …

In the circuit shown, $L=1\mu \mathrm{H},C=1\mu \mathrm{F}$ and $R=1k\Omega$. They are connected in series with an a.c. source $V=V_0\sin \omega t$ as shown. Which of the following options is/are correct?

The instantaneous voltages at three terminals marked $X,Y$ and $Z$ are given by …

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 $I_0=1$ A and $\omega =500\mathrm{rad}{\mathrm{s}}^{-1}$ starts flowing in it with the initial direction shown in the fig …

Paragraph for Questions 15 and 16

A thermal power plant produces electric power of $600kW$ at $4000V$, which is to be transported to a place 20 km away from the power plant for consumers' usage. It can be transported either directly with a cable of large current carrying c …

In the given circuit, the AC source has $\omega =100\mathrm{rad}/\mathrm{s}$. Considering the inductor and capacitor to be ideal, the correct choice(s) is(are)

A series R-C circuit is connected to AC voltage source. Consider two cases; (A) when C is without a dielectric medium and (B) when C is filled with dielectric of constant 4 . The current $I_R$ through the resistor and voltage $V_C$ across the capacitor are compared in the …

A series R-C combination is connected to an AC voltage of angular frequency $\omega =500\mathrm{radian}/\mathrm{s}$. If the impedance of the R-C circuit is R $\sqrt{1.25}$, the time constant (in millisecond) of the circuit is

An AC voltage source of variable angular frequency $\omega$ and fixed amplitude ${\mathrm{V}}_{\mathrm{o}}$ is connected in series with a capacitance C and an electric bulb of resistance R (inductance zero). When $\omega$ is increased

You are given many resistances, capacitors and inductors. These are connected to a variable DC voltage source (the first two circuits) or an AC voltage source of 50 Hz frequency (the next three circuits) in different ways as shown in Column II. When a current $I$ (steady state fo …