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Statement I: In series L−C−R AC circui...

Statement I: In series L−C−R AC circuit, current and voltage are in same phase at resonance. Statement II: In series L−C−R AC circuit, resonant frequency does not depend on the value of resistance. Hence current, at resonance, does not depend on resistance.

A

Statement I is true, statement II is true, statement II is a correct explanation for statement I.

B

Statement I is true, statement II is true, statement II is not a correct explanation for statement I

C

Statement I is true, statement II is false

D

Statement I is false, statement II is true

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • Statement I: Q-factor of a series LCR circuit is 1/Rsqrt(L/C) Statement II: Resonant frequency of an LCR circuit does not depend on the resistance of the circuit.

    A
    Statement I is true, statement II is true, statement II is a correct explanation for statement I.
    B
    Statement I is true, statement II is true, statement II is not a correct explanation for statement I
    C
    Statement I is true, statement II is false
    D
    Statement I is false, statement II is true

  • The phase difference between V and I of an LCR circuit in series resonance is

    A
    `pi`
    B
    `pi/2`
    C
    `pi/4`
    D
    0

  • In a series LCR circuit the resonant frequency f_0 , alternating voltae V=V_0sinomegat and current I=I_0sin(omegat+theta) . So if frequency

    A
    `fltf_0`then`thetagt0`
    B
    `fltf_0`then`thetalt0`
    C
    `fgtf_0`then`thetagt0`
    D
    `fgtf_0`then`thetalt0`

    • Similar Questions

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    State the condition under which the phenomenon of resonance occurs in series LCR circuit when ac voltage is applied. In a series LCR circuit, the current is in same phase with voltage. Calculate the value of self-inductance if the capacitor used in 20muF and resistance used in 10 ohm with the ac source of frequency 50 Hz.

    Sketch graphs to show the variation of (i) current and (ii) impedance of a series LCR circuit with the frequency of the ac source.

    Keeping the source frequency equal to the resonating frequency of the series LCR circuit, if the three elements, L, C and R are arranged in parallel, show that the total current in the parallel LCR circuit is minimum at this frequency. Obtain the current rms value in each branch of the circuit for the elements and source specified in Exercise for this frequency.

    Statement I : Kirchhoff's voltage law indicates that electrostatic field is conservative . Statement II : Potential difference between two points in a circuit does not depend on path .

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