Resonant Frequency in LCR Circuit - JEE Advanced 2023 Paper 1 Q.16
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Questions and Answers

What is the peak power dissipated at resonance in the circuit?

  • 500 Watt
  • 44.4 Watt
  • 2250 Watt (correct)
  • 18 Watt
  • What is the quality factor of the circuit?

  • 500
  • 400
  • 44.4
  • 18 (correct)
  • In an LCR circuit, if the quality factor is doubled, what happens to the power dissipated?

  • It remains the same
  • It doubles
  • It quadruples
  • It reduces by half (correct)
  • What is the bandwidth of the circuit in rad s−1?

    <p>400</p> Signup and view all the answers

    For an LCR circuit at resonance, what can be said about the phase difference between current and voltage?

    <p>The phase difference is zero</p> Signup and view all the answers

    What is the current amplitude in mA at resonance in the circuit?

    <p>44.4 mA</p> Signup and view all the answers

    If the angular frequency of an LCR circuit is tripled, how does it affect the resonant frequency?

    <p>It remains the same</p> Signup and view all the answers

    When the angular frequency is 8 × 10^4 rad s−1, what percentage of the current amplitude at resonance is observed?

    <p>10%</p> Signup and view all the answers

    What is the relationship between the quality factor and the bandwidth of an LCR circuit?

    <p>They are inversely proportional</p> Signup and view all the answers

    What happens to the current amplitude as the angular frequency moves further away from the resonant frequency?

    <p>Decreases</p> Signup and view all the answers

    When the resistance in an LCR circuit is decreased, what happens to the sharpness of resonance?

    <p>Resonance becomes broader</p> Signup and view all the answers

    What effect does increasing the inductance have on the resonant frequency of an LCR circuit?

    <p>Resonant frequency decreases</p> Signup and view all the answers

    What is the role of the thin wire in the system described in the text?

    <p>To suspend the system vertically</p> Signup and view all the answers

    How does the torsional constant of the wire affect the angular frequency of the oscillations?

    <p>It increases the angular frequency</p> Signup and view all the answers

    Which parameter is primarily associated with the quality factor of the torsional pendulum system?

    <p>Power dissipation</p> Signup and view all the answers

    How does adjusting the resonant frequency impact the behavior of the torsional pendulum system?

    <p>It affects the amplitude of oscillations</p> Signup and view all the answers

    In an LCR circuit analogous to the torsional pendulum system, which component would most likely influence power dissipation?

    <p>Resistor</p> Signup and view all the answers

    If the angular frequency of oscillations increases, what impact would this have on the quality factor of the torsional pendulum system?

    <p>Quality factor decreases</p> Signup and view all the answers

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