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Current in a series LCR or LR circuit from its impedance

This type of question, asked 5 times: 25 Jun 2022, 27 Jul 2022, 29 Jul 2022, 31 Jan 2023, 4 Apr 2025. All 5 questions below, oldest first.

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  1. Question 1

    25 Jun 2022

    119
    In a series LCR circuit, the inductance, capacitance and resistance are L=100mH,C=100μFL = 100mH,C = 100\mu F and R=R = 10Ω10\Omega respectively. They are connected to an ACAC source of voltage 220 V220\text{ }V and frequency of 50 Hz50\text{ }Hz. The approximate value of current in the circuit will be ____\_\_\_\_ A.

  2. Question 2

    27 Jul 2022

    104
    A series LCRLCR circuit has L=0.01H,R=10ΩL = 0.01H,R = 10\Omega and C=1μFC = 1\mu F and it is connected to ac voltage of amplitude (Vm)50 V\left( V_{m} \right)50\text{ }V. At frequency 60%60\% lower than resonant frequency, the amplitude of current will be approximately:

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  3. Question 3

    29 Jul 2022

    98
    A circuit element XX when connected to an a.c. supply of peak voltage 100 V100\text{ }V gives a peak current of 5 A5\text{ }A which is in phase with the voltage. A second element YY when connected to the same a.c. supply also gives the same value of peak current which lags behind the voltage by π2\frac{\pi}{2}. If XX and YY are connected in series to the same supply, what will be the rms value of the current in ampere?

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  4. Question 4

    31 Jan 2023

    111
    A series LCR circuit consists of R=80Ω,XL=100ΩR = 80\Omega,X_{L}= 100\Omega, and XC=40ΩX_{C}= 40\Omega. The input voltage is 2500 cos⁡(100πt)V\cos(100\pi t)V. The amplitude of current, in the circuit, is____ A.

  5. Question 5

    4 Apr 2025

    100
    An inductor of self inductance 1 H connected in series with a resistor of 100πohm100\pi ohm and an ac supply of 100π100\pi volt, 50 Hz . Maximum current flowing in the circuit is ____\_\_\_\_ A.