Give the value of impedance in resonance cond | vedclass

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Question

(A) In an $LCR$ series circuit, the impedance $Z$ is given by the formula $Z = \sqrt{R^2 + (X_L - X_C)^2}$.At resonance, the inductive reactance $X_L$

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$Z = R$

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(A) In an $LCR$ series circuit, the impedance $Z$ is given by the formula $Z = \sqrt{R^2 + (X_L - X_C)^2}$.At resonance, the inductive reactance $X_L$ is equal to the capacitive reactance $X_C$, i.e., $X_L = X_C$.Substituting this into the impedance formula, we get $Z = \sqrt{R^2 + (0)^2} = \sqrt{R^2} = R$.Therefore, at resonance, the impedance of the circuit is equal to the resistance $R$ of the circuit, which is the minimum possible value of impedance.

Give the value of impedance in resonance condition.

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