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A series LCR circuit is connected to an ...

A series LCR circuit is connected to an ac source of variable frequency. When the frequency is increased continuously, starting from a small value, the power factor

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(a) In a series LCR circuit connected across an a.c. source of variable frequency, obtain the expression for its impedance and draw a plot showing its variation with frequency of the a.c. source. (b) What is the phase difference between the voltages across inductor and the capacitor at resonance in the LCR circuit ? (c) When an inductor is connected to a 200 V d.c. voltage, a current of 1 A flows through it. When the same inductor is connected to a 200 V, 50 Hz a.c. source, only 0.5 A current flows. Explain, why ? Also, calculate the self inductance of the inductor.

For an LCR circuit connected to the AC source match the following

Knowledge Check

  • In a series LCR circuit, operated with an ac of angular frequency omega , the total impedance is

    A
    `[R^(2)+(Lomega-Comega)^(2)]^(1//2)`
    B
    `[R^(2)+(Lomega-1/(Comega))^(2)]^(1//2)`
    C
    `[R^(2)+(Lomega-1/(Comega))^(2)]^(-1//2)`
    D
    `[(Romega)^(2)+(Lomega-1/(Comega))^(2)]^(1//2)`

  • A series LCR circuit is connected to an ac source of frequency v and a voltage V. At this frequency, reactance of the capacitor is 350 Omega while the resistance of the circuit is 180 Omega . Current in the circuit leads the voltage by 54^@ and power dissipated in the circuit is 140 W. Then the voltage V is

    A
    250V
    B
    260V
    C
    270V
    D
    280V

  • 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))`

    • Similar Questions

    Explore conceptually related problems

    (a) In a series LCR circuit connected across an AC source of variable frequency, obtain the expression for its impedance and draw a plot showing its variation with frequency of the AC source. (b) What is the phase difference between the voltages across inductor and the capacitor at resonance in the LCR circuit ? (c ) When and inductor is connected to a 200 V DC voltage, a current of 1Aflows trough it. when the same inductor is connected to a 200 V, 50 Hz AC source, only 0.5 A current flows. Explain, why ? Also, calculate the self inductance of the inductor.

    In a series LCR circuit resonance of frequency is the half of the frequency of source.The nature of the circuit is

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