Power in AC

A series LCR circuit is made by taking $R=100\mathrm{\Omega },L=\frac{2}{\pi }\mathrm{H},C=\frac{100}{\pi }\mathrm{\mu F}$ . This series combination is connected across an a.c. source of $220 \mathrm{V}, 50 \mathrm{Hz}$. Calculate (i) the impedance of the circuit and
(ii) the peak value of the current flowing in the circuit.
(iii) Calculate the power factor of this circuit.

. The voltage difference between two terminals of an AC circuit is$V=5\cos \left(2\pi ft\right) \mathrm{V}$, the current flows in the circuit is $I=2\sin (2\pi ft) \mathrm{A}.$ Then the rate of energy loss in the circuit is

Given below are two statements:

Statement I : An AC circuit undergoes electrical resonance if it contains either a capacitor or an inductor.

Statement II: An AC circuit containing a pure capacitor or a pure inductor consumes high power due to its non-zero power factor. In the light of above statements, choose the correct answer from the options given below:

 A series LCR circuit with $R=20 \mathrm{\Omega }$, $L=2 \mathrm{H}$ and $C=50 \mu \mathrm{F}$ is connected to $200$ $ac$ source of variable frequency. What is (i) the amplitude of the current, and (ii) the average power transferred to the circuit in one complete cycle, at resonance ? (iii) Calculate the potential drop across the capacitor.

In series LCR circuit shown in the figure, the current and potential difference across elements is given, the average power dissipated in circuit is

Identify the incorrect statement with respect to power ractor.

In a $\mathrm{RLC}$ series circuit shown in the figure, the readings of voltmeters $V_1$ and $V_2$ are $100 \mathrm{V}$ and $120 \mathrm{V}$ respectively. The source voltage $\left(V\right)$ of alternating source is $130 \mathrm{V}$. Mark the correct option (s).

Deduce the expression of average power for a purely resistive circuit.

In a series $\mathrm{LCR}$ circuit, the inductive reactance $X_L=4\mathrm{\Omega }$, the capacitive reactance $X_C=10\mathrm{\Omega }$ and the resistance $R=6\mathrm{\Omega }$. The power factor of the circuit is

The power factor of LCR circuit which is in a state of resonance is

A circuit consists of a resistance of $6\Omega ,$ a capacitance of $2\mu \mathrm{F}$ and an inductance of $0.01\mathrm{H},$ in series with a power supply of $12\sin \left(\omega t\right)$ (Volts). Internal resistance of rest of the circuit is negligible. If the frequency of the power supply is such that the circuit is in resonance, average power generated by the power supply is

Power dissipated in an $\mathrm{LCR}$ series circuit connected to an $AC$ source of EMF $E$ is

In an $AC$ circuit, which has unknown electrical devices connected in series having resistance $3 \Omega$, the power factor is $\frac{3}{5}$. The resistance of circuit is

The power factor of a purely resistive circuit is:

Apparent power is also known as virtual power-

Which among the following varies in both magnitude and sign over a cycle?

The true power in an AC circuit should be measured in __________________?

The three types of power in AC circuits are _______________, ______________, and ________________ power

Real or true power do the actual work in the _____?