AC Voltage Applied to a Resistor

A $15.0$ $\text{μF}$  capacitor is connected to $220$ $\text{V,}$ $50$ $\text{Hz}$ source. The capacitive reactance and the RMS current would be:

An a.c. source, of voltage $V=V_m \sin \omega t$, is applied across a series LCR circuit. Which of the following is the phasor diagram for the circuit when capacitative impedance exceeds the inductive impedance?

The instantaneous current and voltage of an AC circuit are given by $\mathrm{i}=10\sin \left(314\mathrm{t}\right) \mathrm{A}$ and $\mathrm{V}=100\sin \left(314\mathrm{t}\right) \mathrm{V}$. The power dissipation in the circuit is

A resistor of  $200\Omega$  and a capacitor of 15.0 $\text{μF}$  are connected in series to a 220 V, 50 Hz a.c. source. Calculate

​(i) The current in the circuit.

(ii) The rms voltage across the resistor and the capacitor.

The instantaneous current and voltage of an a.c. circuit are given by $I=10\sin 300t \mathrm{A}$ and $V=200\sin 300t \mathrm{V}$. What is the power dissipation in the circuit?

In a series LCR circuit, the voltage across an inductor, capacitor and resistor are $20 \mathrm{V}$, $20 \mathrm{V}$ and $40 \mathrm{V}$ respectively. What is the phase difference between the applied voltage and the current in the circuit?

The RMS value of voltage of the waveform shown below is, $v_{rms}=\frac{k}{\sqrt{3}} \mathrm{V}$, find the value of $k$.

An alternating voltage $E=200\sqrt{2}\sin \left(100\mathrm{t}\right)$ is connected to a $1$ micro farad capacitor through an AC ammeter. The reading of the ammeter shall be:

Discuss a purely resistive circuit.

If a capacitor of $8\mathrm{ }\mathrm{\mu F}$ is connected to a $220\mathrm{ }\mathrm{V},\mathrm{ }100 \mathrm{H}\mathrm{z}$, AC source and the current passing through it is $65 \mathrm{m}\mathrm{A}$ then the rms voltage across it is

Assertion : The alternating current lags behind the e.m.f. by a phase angle of $\frac{\pi }{2}$, when AC flows through an inductor.
Reason : The inductive reactance increases as the frequency of AC source decreases.

Assertion: In a purely resistive ac circuit instantaneous power varies sinusoidally.

Reason: Applied ac voltage varies sinusoidally.

A sinusoidal voltage $v=200\sin 314t$ is applied to a resistor of $10\Omega$ resistance. Calculate the frequency of the supply.

The r-m-s value of AC voltage$V$ in terms of $\sin x$ and $\cos x$ is always same for a complete cycle.

The r-m-s value of $V_1=V_p \sin \left(\omega t\right)$ and $V_2=V_p \cos \left(\omega t\right)$ is _____ times $V_p$ for a complete cycle. Here, $V_p$ is peak voltage.

Compare the r-m-s value of $V_1=V_p \sin \left(\omega t\right)$ and $V_2=V_p \cos \left(\omega t\right)$ for a complete cycle. Here, $V_p$ is peak voltage.

The average value of $\cos x$ for the interval $\left[0,\frac{\mathrm{\pi }}{2}\right]$ is _____.

Find the average of the given function for the interval $0$ to $\frac{\mathrm{\pi }}{2}$.

$f\left(x\right)=\cos x$

A.C voltage supplied to a.c circuit containing resistor is $40\mathrm{\pi } \mathrm{sin\omega t}$. Calculate the average value of voltage in $\left(\mathrm{V}\right)$ during time interval ${\mathrm{t}}_1=0$ to ${\mathrm{t}}_2=\frac{\mathrm{T}}{2} \sec$

Average value of current in a.c circuit containing resistor is for time-interval $0$ to $\frac{\mathrm{T}}{4}$