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Average power in a series LR or LCR circuit from R and the reactances or impedance

This type of question, asked 12 times: 9 May 2023 S2, 10 May 2023 S1, 13 May 2024 S2, 19 Apr 2025 S2, 20 Apr 2025 S2, 21 Apr 2025 S1, 26 Apr 2025 S2, 11 Apr 2026 S1, 11 Apr 2026 S2, 19 Apr 2026 S2, 12 May 2026 S1, 19 May 2026 S1. All 12 questions below, oldest first.

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  1. Question 1

    9 May 2023 S2

    33
    An e.m.f. E=E0cos⁡ωtE = E_0\cos\omega t is applied to circuit containing L and R in series. If XL=2RX_L = 2R, then the power dissipated in the circuit is

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  2. Question 2

    10 May 2023 S1

    7
    An e.m.f. E=E0cos⁡ωtE=E_0\cos\omega t is applied to the L-R circuit. The inductive reactance is equal to the resistance 'R' of the circuit. The power consumed in the circuit is

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  3. Question 3

    13 May 2024 S2

    7
    In a L-R circuit the inductive reactance is equal to the resistance 'RR' in the circuit. An emf E=E0cos⁡ωtE = E_0\cos\omega t is applied to the circuit. The power consumed in the circuit is

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  4. Question 4

    19 Apr 2025 S2

    33
    In an L−RL-R circuit, the inductive reactance is equal to 3\sqrt{3} times the resistance ' RR ' of the circuit. An e.m.f. E=E0sin⁡(ωt)E =E_{0}\sin(\omega t) is applied to the circuit. The power consumed in the circuit is

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  5. Question 5

    20 Apr 2025 S2

    23
    An e.m.f. e=E0cos⁡ωte =E_{0}\cos\omega t is applied to a circuit containing L,CL,C and R in series where XL=3RX_{L}= 3R and XC=RX_{C}= R. The average power dissipated in the circuit is

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  6. Question 6

    21 Apr 2025 S1

    23
    In LCR series circuit, R = 18Ω18\Omega and impedance 33Ω33\Omega. An r.m.s. voltage of 220 V is applied across the circuit. The true power consumed in a.c. circuit is

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  7. Question 7

    26 Apr 2025 S2

    46
    In series LCR circuit R = 18Ω18\Omega and impedance is 30Ω30\Omega. An rms voltage 210 V is applied across the circuit. The true power consumed in AC circuit is nearly

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  8. Question 8

    11 Apr 2026 S1

    136
    An inductor of reactance 100 Ω100\,\Omega, a capacitor of reactance 50 Ω50\,\Omega, and a resistor of resistance 50 Ω50\,\Omega are connected in series with an AC source of 1010 V, 5050 Hz. Average power dissipated by the circuit is ___

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  9. Question 9

    11 Apr 2026 S2

    137
    In series LCR circuit, resistance is 18 Ω18\,\Omega and impedance 33 Ω33\,\Omega. An r.m.s. Voltage of 220220 V is applied across the circuit. The true power consumed in a c. circuit is

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  10. Question 10

    19 Apr 2026 S2

    138
    In series LCR circuit R=10 ΩR = 10\,\Omega and impedance is 30 Ω30\,\Omega. An r.m.s. voltage 210210 V, is applied across the circuit. The true power consumed in AC circuit is

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  11. Question 11

    12 May 2026 S1

    139
    An e.m.f. e=E0cos⁡ωte = E_0\cos\omega t is applied to a circuit containing L, C and R in series where XL=4RX_L = 4R and XC=RX_C = R. The average power dissipated in the circuit is

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  12. Question 12

    19 May 2026 S1

    137
    An inductor of inductance LL and a resistor of resistance RR are joined in series and connected to an a.c. source of frequency ω\omega. The power dissipated in the circuit is

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