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Question

# For series L-C-R circuit, resonant frequency is ω0. At ω1<ω0, impedance of the circuit is R√2, then which of the following is correct about the phase difference between i and V at ω1?

A
i lags V by π2
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B
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C
i lags V by π4
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D
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Solution

## The correct option is B i leads V by π4At ω0, the reactance of the circuit is zero. At ω1, which is less than ω0, the reactance of the capacitor dominates that of the inductor. If the net impedance is R√2, and the resistance is R, then cosϕ=RZ=RR√2=1√2 ⇒ϕ=+45∘or−45∘. Since, reactance of the capacitor is dominating that of the inductor, ϕ=+45∘

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