Question:medium

The inductance L, Capacitance C and resistance R are the values of the components connected in series to an ac source of angular frequency \(\omega\). The inductive and capacitive reactances are \(X_L\) and \(X_C\) respectively. If the circuit is purely resistive, then

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A "purely resistive" AC circuit means that the voltage and current are in phase. In a series LCR circuit, this happens only at resonance, where the effects of the inductor and capacitor cancel each other out. The condition for resonance is always \(X_L = X_C\), which leads to the resonant frequency \(\omega_0 = 1/\sqrt{LC}\).

Updated On: Mar 30, 2026

L = C
\(X_L = X_C\)
\(\omega L = \omega C\)
R = L = C

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The Correct Option is B

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