Power in AC Circuits

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 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?

In a series L−C−R circuit, current in the circuit is $11\mathrm{A}$when the applied voltage is $220\mathrm{V}.$ Voltage across the capacitor is $200\mathrm{V}.$ If value of resistor $20\mathrm{\Omega },$then the voltage across the unknown inductor is

In LCR circuit if resistance increases quality factor-

In bulb connected in series with a solenoid is lit by an A.C source. If a soft iron core is introduced in the solenoid then

The correct formula to determine the $\mathrm{Q}$ factor of series resonance circuit is

Eddy currents in the core of transformer can't be developed by-

Which of the following effects is NOT produced by current.

A  $50\mathrm{W}, 100\mathrm{V}$Lamp is to be connected to an AC mains of $200\mathrm{V}, 50\mathrm{Hz}.$ What capacitance is essential to be put in series with the lamp.

An acceptor circuit is

What is the ratio of inductive and capacitive reactance in an ac circuit?

Power dissipated in LCR series AC circuit in-

The potential difference $V$and the current $I$ flowing through an A.C circuit is given by $V=5 \cos (\omega t-\frac{\mathrm{\pi }}{6})$ in volt  and $I=10 \sin \left(\omega t\right)$ in ampere. The average power dissipated in the circuit is:

In a series LR circuit, power of $400 \mathrm{W}$ is dissipated from a source of $250 \mathrm{V}, 50 \mathrm{Hz}.$ The power factor of the circuit is $0.8.$ In order to bring the power factor to unity, a capacitor of value $C$ is added in series to the $L$ and $R.$ Taking the value of $\mathrm{C}$ as $\left(\frac{\mathrm{n}}{3\mathrm{\pi }}\right)\mathrm{\mu F},$ then value of $n$ is ________.

In an alternating current circuit, Some elements are connected in series, out of them, a bulb is used as the resistor. If we increase the frequency of alternating source, the brightness of the bulb also changes, which is given in List-I. According to change in the brightness, select the correct elements given in List-II.

The average power dissipation in a pure capacitance in ac circuit is :-

An alternating voltage of $260 \mathrm{V}$ and $\omega =100 \mathrm{rad} {\mathrm{s}}^{-1}$ is applied across an $LCR$ series circuit, where $L=0.01 \mathrm{H}, C=4\times {10}^{-4} \mathrm{F}$ and $R=10 \mathrm{\Omega }$. Find the inductive reactance and the power supplied by the source: