Alternating Current

A resistor of resistance＇$R$＇draws power＇$P$＇when connected to an AC source．If an inductance is now placed in series with $R$ ，such that the impedance of the circuit becomes＇$Z$＇，the power drawn will be

For a domestic AC supply of 220 V at 50 cycles per sec, the potential difference between the terminals of a two-pin electric outlet in a room is given by

The variation of impedance \(\mathrm{Z}\) of a series \(\mathrm{L C R}\) circuit with frequency of the source is shown in the figure. Which of the following statement(s) is/are true ?

In a series LCR circuit, the rms voltage across the resistor and the capacitor are \(30 \mathrm{~V}\) and \(90 \mathrm{~V}\) respectively. If the applied voltage is \(50 \sqrt{2} \sin \omega t\), then the peak voltage across the inductor i...

When an AC source of emf E with frequency \(\omega\) = 100 Hz is connected across a circuit, the phase difference between E and current I in the circuit is observed to be \({\pi \over 4}\) as shown in the figure. If the circuit consist of ...

Consider a pure inductive AC circuit as shown in the figure. If the average power consumed is P, then

The rms value of potential difference V shown in the figure is

A 400\(\Omega\) resistor, a 250 mH inductor and a 2.5 \(\mu\)F capacitor are connected in series with an AC source of peak voltage 5 V and angular frequency 2kHZ. What is the peak value of the electrostatic energy of the capacitor?

When a DC voltage is applied at the two ends of a circuit kept in a closed box, it is observed that the current gradually increases from zero to a certain value and then remains constant. What do you think that the circuit contains?

When a 60 mH inductor and a resistor are connected in series with an AC voltage source, the voltage leads the current by 60\(^\circ\). If the inductor is replaced by a 0.5 \(\mu\)F capacitor, the voltage lags behind the current by 30$$^\cir...

A parallel plate capacitor in series with a resistance of 100\(\Omega\), an inductor of 20 mH and an AC voltage source of variable frequency shows resonance at a frequency of \({{1250} \over \pi }\) Hz. If this capacitor is charged by a DC...

An alternating current is flowing through a series L-C-R circuit. It is found that the current reaches a value of 1 mA at both 200 Hz and 800 Hz frequency. What is the resonance frequency of the circuit?

When the frequency of the AC voltage applied to a series LCR circuit is gradually increased from a low value, the impedance of the circuit