Alternating Current and Voltage

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:

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?

If the rms (root mean square) value of potential in an AC circuit is $10 \mathrm{V},$ then the peak value of potential (in $\mathrm{V}$) is (take $\sqrt{2}=1.4$) :- 

The current that changes its magnitude and polarity at regular interval of time is called?

The equation of alternating voltage is given by,

$V=V_0\sin \left(\omega t\right)$

Prove that the average voltage of alternating current in one cycle is zero.

The frequency of alternating current in India is $50 \mathrm{Hz}$.

The relation between an $A.C.$ voltage source and time in $SI$ units is : $\mathrm{V}=240 \sin 100 \pi \mathrm{t} \cos 100 \pi \mathrm{t}$ volt, value of peak voltage and frequency will be respectively :-

If the equation of alternating $\mathrm{emf}$ is $\mathrm{V}=200 \sin 300t$, then for a circuit containing $\mathrm{R}=100 \mathrm{\Omega }$ and $L=800 \mathrm{mH}$, the peak value of current will be in ampere :

Alternating current cannot be measured by a DC ammeter because

The voltage in an AC circuit is given by $V=200\sin \left(314t\right)$. Give the frequency of AC voltage.

Define peak value and r.m.s. value of alternating signal.

Voltage V and current I in AC circuit are given by

$\mathrm{V}=50\sin \left(50\mathrm{t}\right)\mathrm{ }\mathrm{v}\mathrm{o}\mathrm{l}\mathrm{t}$

$\mathrm{i}=50\sin \left(50\mathrm{t}+\frac{\mathrm{\pi }}{3}\right)\mathrm{m}\mathrm{A}$

The power dissipated in circuit is

What is the average power dissipation in an ideal capacitor in A.C. circuit?

A capacitor $50\mu F$ is connected to a power source $V=220\sin 50t$ (V in volt, t in second). The value of rms current (in ampere)

An AC ammeter is used to measure current in a circuit. When direct current passes through the circuit, the AC ammeter reads $3 \mathrm{A}$. When another alternating current passes through the circuit, the AC ammeter reads $4 \mathrm{A}$. The reading of the ammeter if DC and AC flow through the circuit simultaneously will be

The frequency of AC mains in India is,

(cps is cycle per second)

$\mathrm{R}\mathrm{m}\mathrm{s}$ value of the saw-tooth voltage of peak value ${\mathrm{V}}_0$ as shown in -

For an alternating current -