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Coil of given resistance and inductance on an a.c. source: phase angle between voltage and current

The same question, asked 5 times: May 2022 S1, 14 May 2024 S2, 19 Apr 2025 S2*, 20 Apr 2025 S1*, 21 Apr 2025 S2. Every wording 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

    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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  3. Question 3

    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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  4. Question 4

    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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  5. Question 5

    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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