Embibe Experts Solutions for Chapter: Alternating Current, Exercise 2: Exercise - 2

A coil has an inductance of $\frac{2.2}{\pi } \mathrm{H}$ and is joined in series with a resistance of $220 \mathrm{\Omega }.$ When an alternating e.m.f. of $220 \mathrm{V}$ at $50$ c.p.s. is applied to it, then the watt-less component of the RMS current in the circuit is

A circuit is set up by connecting $L=100 \mathrm{mH}, C=5 \mathrm{\mu F} \mathrm{and} R=100\mathrm{\Omega }$ in series. An alternating emf of $(150 \sqrt{2} ) \mathrm{volt}, \frac{500}{\mathrm{\pi }} \mathrm{Hz}$ is applied across this series combination. Which of the following is correct. 

In a series $\mathrm{RC}$ circuit with an $\mathrm{AC}$ source (peak voltage $E_0=50 \mathrm{V} \mathrm{and} f=50/\mathrm{\pi } \mathrm{Hz}$), $R=300 \mathrm{\Omega }, C=25 \mathrm{\mu F}.$ Then

In the $\mathrm{AC}$ circuit shown below, the supply voltage has constant rms value $V$ but variable frequency $f$. At resonance, the circuit 

A town situated $20 \mathrm{km}$ away from a power house at $440 \mathrm{V},$ requires $600 \mathrm{KW}$ of electric power at$220 \mathrm{V}$. The resistance of transmission line carrying power is $0.4 \mathrm{\Omega } \mathrm{per} \mathrm{km}$. The town gets power from the line through a $3000 \mathrm{V}–220 \mathrm{V}$ step-down transformer at a substation in the town. Which of the following is/are correct 

$11 \mathrm{kW}$ of electric power can be transmitted to a distant station at (i) $220 \mathrm{V}$ or (ii) $22000 \mathrm{V}.$ Which of the following is correct.

Power factor may be equal to $1$ for : 

In a series $R-C$ circuit, the supply voltage $\left(V_{\mathrm{s}}\right)$ is kept constant at $2 \mathrm{V}$ and the frequency $f$ of the sinusoidal voltage is varied from $500 \mathrm{Hz} \mathrm{to} 2000 \mathrm{Hz}$. The voltage across the resistance $R=1000 \mathrm{ohm}$ is measured each time as $V_{\mathrm{R}}$. For the determination of the $C$, a student wants to draw a linear graph and try to get $C$ from the slope. Then she may draw a graph of