Alternating Current

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 shows various options fo...

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 and there is no char...

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 s...

In a circuit, a metal filament lamp is connected in series with a capacitor of capacitance 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 i...

In a circuit, a metal filament lamp is connected in series with a capacitor of capacitance 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 i...

The instantaneous voltages at three terminals marked \(X,Y\) and \(Z\) are given by
\({V_x} = {V_0}\,\sin \,\omega t,\)
\({V_Y} = {V_0}\,\sin\) \(\left( {\omega t + {{2\pi } \over 3}} \right)\)
and $$Vz = {V_0}\sin \left( {\omega t + ...

In the circuit shown, \(L = 1\,\mu H,C = 1\,\mu F\,\) and \(R = 1\,k\Omega .\) 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?

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) = I0 cos (\(\omega\)t), with I0 = 1 A and \(\omega\) = 500 rad s-1 starts flowing in it with the initial direction shown...

In the method using the transformers, assume that the ratio of the number of turns in the primary to that in the secondary in the step-up transformer is 1 : 10. If the power of the consumers has to be supplied at 200 V, the ratio of the num...

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

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

A series RC-current 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 IR through the resistor and voltage VC across the capa...

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...

An AC voltage source of variable angular frequency \(\omega\) and fixed amplitude V0 is connected in series with a capacitance C and an electric bulb of resistance R (inductance zero). When \(\omega\) is increased

STATEMENT 1
A vertical iron rod has a coil of wire wound over it at the bottom end. An alternating current flows in the coil. The rod goes through a conducting ring as shown in the figure. The ring can float at a certain height above the co...

After the capacitor gets fully charged, $\mathrm{S}_1$ is opened and $S_2$ is closed so that the inductor is connected in series with the capacitor. Then,

If the total charge stored in the LC circuit.is $\mathrm{Q}_0$, then for $t \geq 0$,

Initially, the capacitor was uncharged. Now, switch $S_1$ is closed and $S_2$ is kept open. If time constant of this circuit is $\tau$, then

Match the following columns.

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