Assertion: In a series LCR circuit,resonance | vedclass

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(A) In a series $LCR$ circuit,the impedance $Z$ is given by $Z = \sqrt{R^2 + (X_L - X_C)^2}$.Resonance occurs when the inductive reactance $X_L = \ome

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If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.

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(A) In a series $LCR$ circuit,the impedance $Z$ is given by $Z = \sqrt{R^2 + (X_L - X_C)^2}$.Resonance occurs when the inductive reactance $X_L = \omega L$ and capacitive reactance $X_C = \frac{1}{\omega C}$ are equal and opposite,such that $X_L - X_C = 0$.At this condition,the impedance $Z$ becomes minimum $(Z = R)$,and the current $I = \frac{V}{Z}$ becomes maximum.Since the condition for resonance is indeed $X_L = X_C$,the Reason correctly explains the Assertion.

Assertion: In a series $LCR$ circuit,resonance can take place.
Reason: Resonance takes place if inductive and capacitive reactances are equal and opposite.

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Assertion: In a series $LCR$ circuit,resonance can take place.Reason: Resonance takes place if inductive and capacitive reactances are equal and opposite.