(C, D) In a series $\text{LCR}$ circuit, the impedance $Z$ is given by $Z = \sqrt{R^2 + (X_L - X_C)^2}$.At resonance (point $C$), $X_L = X_C$, so $Z$

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The impedance $Z$ is capacitive in the portion $AC$.

(C, D) In a series $\text{LCR}$ circuit, the impedance $Z$ is given by $Z = \sqrt{R^2 + (X_L - X_C)^2}$.At resonance (point $C$), $X_L = X_C$, so $Z$ is minimum.For frequencies lower than the resonant frequency (portion $AC$), $X_C > X_L$, which means the circuit is capacitive.For frequencies higher than the resonant frequency (portion $BC$), $X_L > X_C$, which means the circuit is inductive.Therefore, the impedance $Z$ is capacitive in the portion $AC$ and inductive in the portion $BC$.

Class 12 Physics Alternating Current RL, RC and LC AC Circuits

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The variation of impedance $Z$ of a series $\text{LCR}$ circuit with the frequency $f$ of the source is shown in the figure. Which of the following statement$(s)$ is/are true?

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A
The impedance $Z$ is inductive in the portion $AC$.
B
The impedance $Z$ is capacitive in the portion $BC$.
C
The impedance $Z$ is inductive in the portion $BC$.
D
The impedance $Z$ is capacitive in the portion $AC$.

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Alternating Current

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RL, RC and LC AC Circuits

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The variation of impedance $Z$ of a series $\text{LCR}$ circuit with the frequency $f$ of the source is shown in the figure. Which of the following statement$(s)$ is/are true?

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$A$ circuit connected to an $ac$ source of $emf$ $e = e_0 \sin(1000t)$,where $t$ is in seconds,exhibits a phase difference of $\frac{\pi}{4}$ between the $emf$ $e$ and current $i$. Which of the following circuits will exhibit this?

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