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 (C)</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 (C)</p> Signup and view all the answers

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

<p>44.4 mA (B)</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 (B)</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% (B)</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 (B)</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 (B)</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 (B)</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 (D)</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 (A)</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 (B)</p> Signup and view all the answers

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

<p>Power dissipation (B)</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 (C)</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 (B)</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 (C)</p> Signup and view all the answers

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