Home
Class 12
PHYSICS
A series LCR circuit with R=20Omega,L=1....

A series LCR circuit with `R=20Omega,L=1.5H,andC=35muF` is connected to a variable frequency 200 V ac supply. When the frequency of the supply equals the natural frequency of the circuit, what is the average power transferred to the circuit in one complete cycle?

Text Solution

Verified by Experts

`Z = sqrt(R^(2) + (X_(L) - X_(C))^(2))`
At resonance `X_(L) - X_(C) = 0`
`:. Z = R`
`I = (V)/(Z) = 10`
`P = VI = 200 W`
Promotional Banner

Topper's Solved these Questions

  • ALTERNATING CURRENT

    OSWAAL PUBLICATION|Exercise Topic - 3 (Very Short Answer Type Questions)|3 Videos
  • ALTERNATING CURRENT

    OSWAAL PUBLICATION|Exercise Topic - 3 (Short Answer Type Questions - I)|3 Videos
  • ALTERNATING CURRENT

    OSWAAL PUBLICATION|Exercise Topic - 2 (Long answer Type Questions)|4 Videos
  • 2020 Solved Paper I

    OSWAAL PUBLICATION|Exercise Exercise|41 Videos
  • ATOMS

    OSWAAL PUBLICATION|Exercise NUMERICAL PROBLEMS|11 Videos

Similar Questions

Explore conceptually related problems

A series LCR circuit is connected to a 220 V variable frequency supply. If L = 20 mH, C = [(800)/(pi^(2))]muF and R = 110 Omega , (a) Find the frequency of the source for which the average power absorbed by the circuit is maximum. (b) Calculate the value of maximum current amplitude.

A series LCR circuit having L = 0.4 H, C = 0.1 muE and R = 500 Omega is connected to an A.C. source of variable frequency. The quality factor of the circuit is

A series LCR circuit with L = 0.12 H, C = 480 nF, R = 23 Omega is connected to a 230 V variable frequency supply. (a) What is the source frequency for which current amplitude is maximum. Obtain this maximum value. (b) What is the source frequency for which average power absorbed by the circuit is maximum. Obtain the value of this maximum power. (c) For which frequencies of the source is the power transferred to the circuit half the power at resonant frequency? What is the current amplitude at these frequencies? (d) What is the Q-factor of the given circuit?

A series LCR circuit is connected to an a.c. source of variable frequency. Drow a suitable phasor diagram deduce the expressions for the amplitude of the current and phase angle.

Figure shows a series LCR circuit connected to a variable frequency 230 V source. L = 5.0 H, C = 80muF, R = 40 Omega . (a) Determine the source frequency which drives the circuit in resonance. (b) Obtain the impedance of the circuit and the amplitude of current at the resonating frequency. (c) Determine the rms potential drops across the three elements of the circuit. Show that the potential drop across the LC combination is zero at the resonating frequency.

A circuit containing an inductor of 80mH inductance and a capacitor of 60muF capacitance in series, is connected to a 230V, 50Hz supply. The resistance of the circuit is negligible. What is the average power transferred to the capacitor?

A circuit containing an inductor of 80mH inductance and a capacitor of 60muF capacitance in series, is connected to a 230V, 50Hz supply. The resistance of the circuit is negligible. What is the average power transferred to the inductor?

A 100Omega resistor is connected to a 220 V, 50 Hz ac supply What is the rms value of the current in the circuit?

A circuit containing an inductor of 80mH inductance and a capacitor of 60muF capacitance in series, is connected to a 230V, 50Hz supply. The resistance of the circuit is negligible. What is the total average power absorbed by the circuit (averaged over one complete cycle)?