Question:
In a series LCR AC circuit, the current is maximum when the impedance is equal to
In a series LCR AC circuit, the current is maximum when the impedance is equal to
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At resonance → impedance = resistance → current maximum.
Updated On: May 2, 2026
- the reactance
- the resistance
- zero
- twice the reactance
- twice the resistance
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The Correct Option is B
Solution and Explanation
Concept: Impedance in LCR circuit
\[ Z = \sqrt{R^2 + (X_L - X_C)^2} \] Current: \[ I = \frac{V}{Z} \] ---
Step 1: Condition for maximum current
For current to be maximum: \[ Z \text{ must be minimum} \] ---
Step 2: Minimum impedance condition
Minimum occurs when: \[ X_L = X_C \] This is resonance condition. ---
Step 3: Substitute \[ Z = \sqrt{R^2 + 0} = R \] ---
Step 4: Interpretation
• Inductive and capacitive effects cancel
• Only resistance remains
• Circuit behaves like pure resistor --- Final Answer: \[ \boxed{Z = R} \]
\[ Z = \sqrt{R^2 + (X_L - X_C)^2} \] Current: \[ I = \frac{V}{Z} \] ---
Step 1: Condition for maximum current
For current to be maximum: \[ Z \text{ must be minimum} \] ---
Step 2: Minimum impedance condition
Minimum occurs when: \[ X_L = X_C \] This is resonance condition. ---
Step 3: Substitute \[ Z = \sqrt{R^2 + 0} = R \] ---
Step 4: Interpretation
• Inductive and capacitive effects cancel
• Only resistance remains
• Circuit behaves like pure resistor --- Final Answer: \[ \boxed{Z = R} \]
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