Question:
Consider a series LCR circuit connected to an AC source. The resistance, inductive reactance and capacitive reactance are \(R, X_L, X_C\) respectively. If the current in this circuit lags the source voltage then the correct option is:
Consider a series LCR circuit connected to an AC source. The resistance, inductive reactance and capacitive reactance are \(R, X_L, X_C\) respectively. If the current in this circuit lags the source voltage then the correct option is:
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Inductive circuit → current lags voltage → \(X_L > X_C\).
Updated On: Jun 20, 2026
- \(X_C < X_L\)
- \(X_C > X_L\)
- \(R > X_C\)
- \(X_C = X_L = R\)
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The Correct Option is A
Solution and Explanation
Step 1: Condition for phase relation in LCR circuit.
In a series LCR circuit: \[ Z = \sqrt{R^2 + (X_L - X_C)^2} \] Phase angle: \[ \tan\phi = \frac{X_L - X_C}{R} \]
Step 2: Interpret “current lags voltage”.
If current lags voltage, the circuit behaves as inductive. So: \[ X_L > X_C \]
Step 3: Final conclusion.
\[ \boxed{X_C < X_L} \]
In a series LCR circuit: \[ Z = \sqrt{R^2 + (X_L - X_C)^2} \] Phase angle: \[ \tan\phi = \frac{X_L - X_C}{R} \]
Step 2: Interpret “current lags voltage”.
If current lags voltage, the circuit behaves as inductive. So: \[ X_L > X_C \]
Step 3: Final conclusion.
\[ \boxed{X_C < X_L} \]
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