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A series LCR circuit containing 5.0 H in...

A series LCR circuit containing 5.0 H inductor, `80 mu F` capacitor and `40 Omega` resistor is connected to 230 V variable frequency ac source. The angular frequencies of the source at which power transfered to circuit is half the power at resonant angular frequency are likely to be.

A

46 rad/s and 54 rad/s

B

42 rad/s and 58 rad/s

C

25 rad/s and 75 rad/s

D

50 rad/s and 25 rad/s

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A 100 mH inductor, a 25 mu F capacitor and 1 5 Omega resistoer are connected in series to a 120 V, 50Hz a.c source. Calculate the resonant frequency .

A series LCR circuit with L = 4.0 h, C = 100 mu F and R = 60 Omega is connected to a varialbe frequency 240 V source. Calcalate (i) angular frequency of the source which drives the circuit in resonace, (ii) current at the resonating frequency, (iii) rms potential drop across the inductro at resonance.

Knowledge Check

  • An inductor 200 mH, capacitor 500mu F and resistor 10 Omega are connected in series with a 100 V variable frequency ac source. What is the frequency at which the power factor of the circuit is unity?

    A
    `10.22 Hz`
    B
    `12.4 Hz`
    C
    `19.2 Hz`
    D
    `15.9 Hz`

  • For an LCR series circuit with an aac source of angular frequency omega .

    A
    circular will be capacitive if `omegagt(1)/(sqrt(LC))`
    B
    circular will be inductive if `omega=(1)/(sqrt(LC))`
    C
    Power factor of circuit will be unity if capacitive reactance equals inductive reactance
    D
    circular will be leading voltage if `omegagt(1)/(sqrt(LC))`

  • A circuit containing a 20 Omega resistor and 0.1 mu F capacitor in series is connected to 320 V ac supply of angular frequency 100 " rad " s^(-1) . The impedance of the circuit is

    A
    `10^(5)Omega`
    B
    `10^(4)Omega`
    C
    `10^(6)Omega`
    D
    `10^(10)Omega`

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    Fig. shows series LCR circuit with L = 5.0 H, C = 80 mu F, R = 40 Omega connected to a variable frequency 240 V source. Calculate (i) the angular freuquency of the source which drives the circuit at resonance. (ii) Current at the resonanting frequency. (iii) the rms pot. drop across the capacitor at resonance.

    A series LER circuit with C = 80 mu F , L = 5.0 H and R = 40 Omega is connected to a variable frequency 240 V a.c. source Calculate (i) angular frequency of the source which drives the circuit in resonanace. (ii) current at the resonating frequency. (iii) rms pot. drop across the capacitor.

    The figure shows a series LCR circuit with L=10.0 H_(2), C=40 mu F, R=60 Omega connected to a variable frequency 240 V source. Calculate (i) The angular frequency of the source which drives the circuit at resonance. (ii) The current at the resonating frequency. (iii) The rms potential drop across the capacitor at resonance.

    An inductor 200 mH, capacitor 500 uF, resistor 10 Omega are connected in series with a 100 V variable frequency a.c. source. Calculate : (i) frequency at which power factor in the circuit is unity, (ii) current amplitude at this frequency, (iii) Q-factor.

    In the given LR circuit the source has angular frequency omega The power factore of the circuit is .

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