AC Voltage Applied to a Series LCR Circuit

In series LCR circuit, the plot of I_max vs ω is shown in figure. Find the bandwidth and mark in the figure.

Out of the following which one is NOT the characteristic of LCR series resonant circuit?

Three students, X, Y and Z performed an experiment for studying the variation of ac with frequency in a series LCR circuit and obtained the graphs as shown below. They all used

• an AC source of the same emf and
• inductance of the same value.

1. Who used minimum resistance?
2. In which case will the quality Q factor be maximum?
3. What did the students conclude about the nature of impedance at resonant frequency (f₀)?
4. An ideal capacitor is connected across 220 V, 50 Hz, and 220 V, 100 Hz supplies. Find the ratio of current flowing through it in the two cases.

Obtain the resonant frequency and Q-factor of a series LCR circuit with L = 3.0 H, C = 27 µF, and R = 7.4 Ω. It is desired to improve the sharpness of the resonance of the circuit by reducing its ‘full width at half maximum’ by a factor of 2. Suggest a suitable way.

In an L.C.R. series a.c. circuit, the current ______.

In the given circuit, rms value of current (I_rms) through the resistor R is:

 Derive an expression for the average power consumed in a series LCR circuit connected to a.c. source in which the phase difference between the voltage and the current in the circuit is Φ.

A coil having an inductance L and a resistance R is connected to a battery of emf ε. Find the time taken for the magnetic energy stored in the circuit to change from one fourth of the steady-state value to half of the steady-state value.