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Current amplitude at resonance in a series LCR circuit

This type of question, asked 5 times: 2021 Paper 26, 26 Jun 2022, 31 Jan 2023, 8 Apr 2024, 22 Jan 2025. All 5 questions below, oldest first.

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  1. Question 1

    2021 Paper 26

    4
    Find the peak current and resonant frequency of the following circuit (as shown in figure; the source voltage is V=30sin⁡(100t) VV = 30\sin(100t)\ V)

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  2. Question 2

    26 Jun 2022

    29
    A 110 V,50 Hz110\text{ }V,50\text{ }Hz, AC source is connected in the circuit (as shown in figure). The current through the resistance 55Ω55\Omega, at resonance in the circuit, will be ____\_\_\_\_ A.

  3. Question 3

    31 Jan 2023

    25
    An inductor of 0.5mH0.5mH, a capacitor of 20μF20\mu F and resistance of 20Ω20\Omega are connected in series with a 220 V220\text{ }V ac source. If the current is in phase with the emf, the amplitude of current of the circuit is x\sqrt{x} A. The value of xx is-

  4. Question 4

    8 Apr 2024

    13
    A LCR circuit is at resonance for a capacitor C, inductance LL and resistance R. Now the value of resistance is halved keeping all other parameters same. The current amplitude at resonance will be now:

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  5. Question 5

    22 Jan 2025

    79
    A series LCR circuit is connected to an alternating source of emf EE. The current amplitude at resonant frequency is I0I_{0}. If the value of resistance RR becomes twice of its initial value then amplitude of current at resonance will be

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