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Phase angle between voltage and current in an LR or LCR circuit from R and reactances

This type of question, asked 9 times: May 2022 S1, 10 May 2023 S2, 11 May 2023 S1, 15 May 2023 S1, 14 May 2024 S2, 19 Apr 2025 S2, 20 Apr 2025 S1, 21 Apr 2025 S2, 19 Apr 2026 S1. All 9 questions below, oldest first.

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  1. Question 1

    May 2022 S1

    47
    A coil having an inductance of 1π\frac{1}{\pi} H is connected in series with a resistance of 300 Ω300\,\Omega. If a.c. source (20 V – 200 Hz) is connected across the combination, the phase angle between voltage and current is

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  2. Question 2

    10 May 2023 S2

    44
    For the series LCR circuit, R=XL2=2XCR = \frac{X_L}{2} = 2X_C. The impedance of the circuit and the phase difference between V and I will be

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  3. Question 3

    11 May 2023 S1

    7
    An inductance of 300π\frac{300}{\pi} mH, a capacitance of 1π\frac{1}{\pi} mF and a resistance of 20 Ω20\,\Omega are connected in series with an a.c. source of 240 V, 50 Hz. The phase angle of the circuit is

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  4. Question 4

    15 May 2023 S1

    15
    In an a.c. circuit, the reactance of a coil is 3\sqrt{3} times its resistance. The phase difference between the voltage across the coil to the current through the coil will be

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  5. Question 5

    14 May 2024 S2

    38
    A coil having inductance 1π H\frac{1}{\pi}\,\text{H} is connected in series with resistance 300 Ω300\,\Omega. If 20 V from a 200 Hz source are impressed, the phase angle between the voltage and the current is

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  6. Question 6

    19 Apr 2025 S2

    15
    A coil of resistance 450Ω450\Omega and. self-inductance 1.5 henry is connected to an a.c. source of frequency 150π Hz\frac{150}{\pi}\text{ }Hz. The phase difference between voltage and current is

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  7. Question 7

    20 Apr 2025 S1

    44
    A resistance of 200Ω200\Omega and an inductor of 12πH\frac{1}{2\pi}H are connected in series to a.c. voltage of 40 V and 100 Hz frequency. The phase angle between the voltage and current is

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  8. Question 8

    21 Apr 2025 S2

    19
    An ideal inductor of (1π)H\left( \frac{1}{\pi} \right)H is connected in series with a 300Ω300\Omega resistor. If a 20 V,200 Hz20\text{ }V,200\text{ }Hz alternating source is connected across the combination, the phase difference between the voltage and current is

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  9. Question 9

    19 Apr 2026 S1

    137
    For a series LCR circuit inductive reactance XLX_L is equal to resistance RR and also equal to twice the capacitive reactance XCX_C. The impedance of the circuit and the phase difference between voltage V and current i are respectively

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