In LCR series circuit at resonance

Step-by-step solution

In an LCR series circuit, the impedance is given by Z = R^2 + (X_L - X_C)^2 . At resonance, the inductive reactance is equal to the capacitive reactance, i.e., X_L = X_C . Substituting this in the impedance formula, we get Z = R . This is the minimum possible impedance, which results in maximum current. The phase difference between the voltage and current is given by = X_L - X_C R . Since X_L = X_C , = 0 = 0 . Thus, the current and voltage are in phase. Answer: the current and voltage are in phase.