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

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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?

400 Signup and view all the answers

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

The phase difference is zero Signup and view all the answers

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

44.4 mA Signup and view all the answers

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

It remains the same 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?

10% Signup and view all the answers

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

They are inversely proportional Signup and view all the answers

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

Decreases Signup and view all the answers

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

Resonance becomes broader Signup and view all the answers

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

Resonant frequency decreases Signup and view all the answers

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

To suspend the system vertically Signup and view all the answers

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

It increases the angular frequency Signup and view all the answers

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

Power dissipation Signup and view all the answers

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

It affects the amplitude of oscillations Signup and view all the answers

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

Resistor 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?

Quality factor decreases Signup and view all the answers