K K Sharma Solutions for Chapter: Alternating Current, Exercise 18: Types of AC circuit

What is the amount of power delivered by the AC source in the circuit shown below?

The series combination of resistance $R$ and inductance $L$ is connected to an alternating source of emf $e=311\sin \left(100\mathrm{\pi }t\right) \mathrm{V}$. If the value of wattless current is $0.5 \mathrm{A}$ and the impedance of the circuit is $311 \mathrm{\Omega }$, then the power factor will be:

In a series LR circuit, $X_L=3R$. Now, a capacitor $X_C=R$ is added in series. The ratio of new to old power factor is 

A sinusoidal voltage $V_0\sin \omega t$ is applied across a series combination of resistance $R$ and inductor $L$. The amplitude of the wattless current in this circuit is:

In the circuit shown in the figure, if the value of RMS current is $2 \mathrm{A}$, then the power factor of the box is

A circuit has a resistance of $12 \mathrm{\Omega }$ and an impedance of $15 \mathrm{\Omega }$. The power factor of the circuit will be:

In a series $LR$ circuit, the voltage drop across inductor is $8 \mathrm{V}$ and across resistor is $6 \mathrm{V}$. The voltage supplied and the power factor of the circuit, respectively are:

In a LCR circuit shown in the figure, the heat developed (in joule) in $80 \mathrm{s}$ and the amplitude of wattless current (in ampere), respectively, are