For a series LCR circuit, I vs ω curve is shown (a) To the left of ω _ r , the circuit is mainly capacitive. (b) To the left of ω _ r , the circuit is mainly inductive. (c) At ω _ r , impedance of the circuit is equal

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Correct answer: C. (a) and (c) only

The impedance of an AC circuit is given by, $Z = \sqrt{{R}^{2} + {\left({X}_{C} - {X}_{L}\right)}^{2}}$ .

For current to be maximum $Z$ should be minimum. The value of $Z$ will be minimum when ${X}_{C} - {X}_{L} = 0$ . Therefore, the value of $Z = R$ . Hence, statement C is correct and statement D is wrong.

To the left of ${\omega}_{r}$ i.e. when $\omega < {\omega}_{r}$ , ${X}_{C} > {X}_{L}$ . Therefore, the circuit is mainly capacitive. Hence, statement A is correct and statement B is wrong.

For a series LCR circuit, I vs ω curve is shown (a) To the left of...

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