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:

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?

A standard filament lamp consumes $100 \mathrm{W}$ when connected to $200 \mathrm{V}$ ac mains supply. Calculate the peak current through the bulb.

The given $I-t$ graph comprises of semi elliptical curves in every $T$time interval. The average value of current between $0 \mathrm{to} \frac{\mathrm{T}}{2}$

In the given AC circuit, find maximum current through the capacitor

Write the rms value of potential difference $V$ from the given figure

The RMS value of the time varying current $i= I_0{e}^{-t}$ from $0$ to $1$ $\mathrm{s}$ is

Find the rms and average value of$I=10+ 5\cos \left(314t\right)$

A modulating signal $2 \sin (6.28 \times {10}^6) t$ is added to the carrier signal
$4 \sin (12.56 \times {10}^9) t$for amplitude modulation. The combined signal is passed through a non-linear square law device. The output is then passed through a band pass filter. The bandwidth of the output signal of band pass filter will be $MHz$.

If$I = 2t$, then the R.M.S. value of current from $0$ to  $2$ seconds is
 

In an AC circuit, the current $I$ is given by the equation $i=2 \sqrt{13} \sin (50\pi t ) \mathrm{A}$. Calculate the time taken to reach from zero to first maximum value.

Calculate the RMS value of the emf for a cycle, whose time variation is shown in figure.

The variation of the instantaneous current $\left(I\right)$ and the instantaneous emf $\left(E\right)$ in a circuit are shown in the figure. Which of the following statements is correct?

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An alternating current is given by $i=i_1\sin \omega t+i_2\cos \omega t$. The RMS current is given by

An $AC$ current is given by the expression, $I\left(t\right)=50\sin \left(200\pi t\right)$ in amperes. The frequency and RMS value of the current respectively are

The INCORRECT statement is.

A circuit shown consists of three resistors, one capacitor, $2$ ideal $\mathrm{AC}$ voltmeters and an alternating voltage source of angular frequency $\omega$. Take $R\omega C=1$. If the reading of $V_1$ is $V$, then the reading of $V_2$ is

A resistance of $40\mathrm{\Omega }$ is connected to a source of alternating current rated $220 \mathrm{V},50 \mathrm{Hz}$. Find the time taken by the current to change from its maximum value to the rms value