Question

In LCR series circuit at resonance

• A. the current is minimum.
• B. the impedance is maximum.
• C. the current leads the voltage by \(\frac{π}{2}\)
• D. the current and voltage are in phase.

Hint:

At resonance \(X_L=X_C\), so impedance equals \(R\).

Answer 1

The Correct Option is D

Step 1: Understanding the Concept
At resonance the inductive and capacitive reactances are equal in size and opposite in effect: \(X_L=X_C\).

Step 2: Detailed Explanation
The impedance is then \(Z=R\), which is the minimum value, so the current \(I=V/R\) is maximum.
The net reactance is zero, so the phase difference is zero: current and voltage are in phase.
This matches statement (D).

Final Answer:
At resonance the current and voltage are in phase, option (D). \[ \boxed{\text{(D)}} \]