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Phase angle when one reactive element is in the circuit and the other removed

This type of question, asked 2 times: 2021 Paper 4, 2 Apr 2026 S2. All 2 questions below, oldest first.

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  1. Question 1

    2021 Paper 4

    17
    An LCR circuit contains resistance of 110Ω110\Omega and a supply of 220 V220\text{ }V at 300rad/s300rad/s angular frequency. If only capacitance is removed from the circuit, current lags behind the voltage by 45∘45^{\circ}. If on the other hand, only inductor is removed the current leads by 45∘45^{\circ} with the applied voltage. The rms current flowing in the circuit will be:

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  2. Question 2

    2 Apr 2026 S2

    17
    The figure given below shows an LCR series circuit with two switches S1S_{1} and S2S_{2}. When switch S1S_{1} is closed keeping S2S_{2} open, the phase difference (ϕ)(\phi) between the current and source voltage is 30∘30^{\circ} and phase difference is 60∘60^{\circ} when S2S_{2} is closed keeping S1S_{1} open. The value of (3 L1−L2)\left( 3{\text{ }L}_{1}-L_{2} \right) is ____\_\_\_\_ H.

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