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MHT CET 2023 (14 May, Shift 1) · Series LCR Circuit

Series LCR Circuit question from MHT CET 2023 (14 May, Shift 1)

Q40MHT CET 2023 · 14 MAY · SHIFT 1Medium

Series LCR Circuit

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

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Answer: (a)

Current leads, so the circuit is capacitive: $\tan 45^\circ = \dfrac{X_C - X_L}{R} = 1$ .
$X_C - X_L = R \Rightarrow X_L = X_C - R$
So the answer is (a) $X_L = X_C - R$ .

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