Reactance and Impedance

An a.c. source, of voltage $V=V_m \sin \omega t$, is applied across a series LCR circuit. Which of the following is the phasor diagram for the circuit when capacitative impedance exceeds the inductive impedance?

In a series $\mathrm{LCR}$ circuit, the voltages across an inductor, a capacitor, and a resistor are $30 \mathrm{V}$, $30 \mathrm{V}$ and $60 \mathrm{V}$ respectively. The phase difference between the applied voltage and the current in the circuit is

In a series LCR circuit, the voltage across an inductor, capacitor and resistor are $20 \mathrm{V}$, $20 \mathrm{V}$ and $40 \mathrm{V}$ respectively. What is the phase difference between the applied voltage and the current in the circuit?

An inductor of inductance $2 \mathrm{mH}$is connected to a $220 \mathrm{V}, 50 \mathrm{Hz}$ a.c. source. Let the inductive reactance in the circuit be ${\mathrm{X}}_1$. If a$220 \mathrm{V}$ dc source replaces the ac source in the circuit, then the inductive reactance in the circuit is$X_2$. $X_1 \mathrm{and} X_2$, respectively are:

An ac source is connected to a capacitor $C$. Due to decrease in its operating frequency:

In a series$LCR$ circuit, the inductance$L$ is $10 \mathrm{mH}$, capacitance $C$ is $1 \mathrm{\mu F}$ and resistance $R$ is $100 \mathrm{\Omega }$. The frequency at which resonance occurs is:

The net impedance of circuit (as shown in figure) will be:

As per the given graph, choose the correct representation for curve $A$ and curve $B$
{Where $X_C=$ Reactance of pure capacitive circuit connected with A.C. source
$X_L=$ Reactance of pure inductive circuit connected with A.C. source
$R=$ Impedance of pure resistive circuit connected with A.C. source
$Z=$ Impedance of the $LCR$ series circuit }

Given below are two statements:

Statement I: Maximum power is dissipated in a circuit containing an inductor, a capacitor and a resistor connected in series with an $AC$ source, when resonance occurs.

Statement II: Maximum power is dissipated in a circuit containing pure resistor due to zero phase difference between current and voltage.

In the light of the above statements, choose the correct answer from the options given below:

A capacitor of capacitance $150.0 \mu \mathrm{F}$ is connected to an alternating source of emf given by $E=36 \sin \left(120\pi t\right) \mathrm{V}$. The maximum value of current in the circuit is approximately equal to:

The variation of impedance $\left(Z\right)$ with angular frequency $\left(\omega \right)$ for two electrical elements is shown in the graph given.

If $X_L, X_C$ and $R$ are inductive reactance, capacitive reactance and resistance respectively, then

In the given$I-V$graph of an$a.c.$ circuit, the circuit may be

A series RC circuit with $300 \mathrm{\Omega }$ resistance $250 \mathrm{\mu F}$ capacitance is connected to A.C. supply of $220\mathrm{V}$, $50 \mathrm{Hz}$. Find the current in the circuit and potential difference across the resistor and the capacitor.

Coil is connected to an ac source through a $60 \mathrm{\Omega }$ resistance in series. The source voltage, voltage across the coil and voltage across the resistance are found to be $33 \mathrm{V}$, $27 \mathrm{V}$ and $12 \mathrm{V}$ respectively. Therefore, the resistance of the coil is

Find the voltage across the various elements, i.e. resistance, capacitance and inductance which are in series and having values $1000 \mathrm{\Omega }$, $1 \mathrm{\mu F}$ and $2.0 \mathrm{H}$, respectively. Given emf is $V= 100\surd 2 \sin 1000 t \mathrm{volt}$.

In the circuit shown in the figure switch $S$ is closed at time $t=0$. Select the correct statement

 

The phase difference $\left(\delta \right)$ between input between input $V_1$ and output voltage $V_0$ dor the following circuit in (i) and (ii) will be

(i)                                             (ii)

Given below are two statements:
Statement-I: In an ac circuit, the current through a capacitor leads the voltage across it.
Statement-II: In a.c. circuits containing pure capacitance only, the phase difference between the current and the voltage is $\pi$In the light of the above statements, choose the most appropriate answer from the options given below: