Embibe Experts Solutions for Chapter: Alternating Current, Exercise 2: BEGINNER'S BOX - 2

An alternating voltage $E=200\sqrt{2}\sin \left(100t\right) \mathrm{V}$ is applied to $2 \mathrm{H}$ inductor through an a.c. ammeter. What will be reading of the ammeter?

A $15.0 \mathrm{\mu F}$ capacitor is connected to a $220 \mathrm{V}, 50 \mathrm{Hz}$ source. Find the capacitive reactance and the current (RMS and peak) in the circuit. If the frequency is doubled, what happens to the capacitive reactance and the current?

A $60 \mathrm{\mu F}$ capacitor is connected to a $110 \mathrm{V}$, $60 \mathrm{Hz}$ A.C. supply. Determine the rms value of the current in the circuit. 

When a series combination of inductance and resistance are connected with a $10 \mathrm{V} 50 \mathrm{Hz} \mathrm{AC}$ source, a current of $1 \mathrm{A}$ flows in the circuit. The voltage leads the current by a phase angle of $\mathrm{\pi }/3$ radian. Calculate the values of resistance and inductance.

Calculate the impedance of a condenser in order to run a bulb rated at $10 \mathrm{W}, 60 \mathrm{V}$ when connected in series to an A.C. source of $100 \mathrm{V}$. 

The current in the shown circuit is found to be $4\sin \left(314t-\frac{\pi }{4}\right) \mathrm{A}.$ Find the value of inductance.

A current of $4 \mathrm{A}$ flows in a coil when connected to a $12 \mathrm{V}$ dc source. If the same coil is connected to a $12 \mathrm{V}, 50 \mathrm{rad} {\mathrm{s}}^{-1}$ a.c. source, a current of $2.4 \mathrm{A}$ flows in the circuit. Determine the inductance of the coil. 

A coil of reactance $100 \mathrm{\Omega }$ and resistance $100 \mathrm{\Omega }$ is connected to a $240 \mathrm{V}, 50 \mathrm{Hz}$ a.c. supply. What is the maximum current in the coil?