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Using a 45 degree phase angle (tan phi = 1) to relate reactance and resistance

This type of question, asked 7 times: 3 May 2023 S1, 11 May 2023 S1, 10 May 2024 S2, 14 May 2024 S1, 25 Apr 2025 S2, 18 Apr 2026 S1, 20 Apr 2026 S2. All 7 questions below, oldest first.

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  1. Question 1

    3 May 2023 S1

    38
    An inductance coil has a resistance of 80 Ω80\ \Omega. When an AC signal of frequency 480 Hz is applied, the voltage leads the current by 45∘45^\circ. The inductance of the coil in henry is

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  2. Question 2

    11 May 2023 S1

    22
    With an alternating voltage source frequency 'f', inductor 'L', capacitor 'C' and resistance 'R' are connected in series. The voltage leads the current by 45∘45^\circ. The value of 'L' is tan⁡45∘=1\tan 45^\circ = 1

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  3. Question 3

    10 May 2024 S2

    7
    With an alternating voltage source of frequency 'ff', inductor 'LL', capacitor 'CC' and resistance 'RR' are connected in series. The voltage leads the current by 45∘45^\circ. The value of 'LL' is [tan⁡45∘=1][\tan 45^\circ = 1]

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  4. Question 4

    14 May 2024 S1

    21
    An alternating voltage is applied to a series LCR circuit. If the current leads the voltage by 45∘45^\circ, then (tan⁡45∘=1\tan45^\circ=1)

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  5. Question 5

    25 Apr 2025 S2

    30
    In an a.c. circuit, a resistance ' RR ' is connected in series with an inductance ' LL '. If phase angle between voltage and current is 45∘45^{\circ}, the value of inductive reactance will be (  tan⁡45∘=1)\left. \ \tan45^{\circ}= 1 \right)

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  6. Question 6

    18 Apr 2026 S1

    139
    In an a.c. circuit, a resistance R is connected in series with an inductance 'L'. If phase angle between voltage and current is 45∘45^\circ, the value of inductive reactance will be (sin⁡45∘=12=cos⁡45∘)\left(\sin 45^\circ = \dfrac{1}{\sqrt{2}} = \cos 45^\circ\right)

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  7. Question 7

    20 Apr 2026 S2

    137
    In an LCR series circuit an alternating voltage source of frequency FF is connected. The current leads the voltage by 45∘45^\circ. The value of LL is

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