Final answer:
The statement in question is false; the resonant frequency is where the amplitude of the current is maximized, not minimized. This occurs when the circuit impedance is at its minimum due to the canceling out of inductive and capacitive reactances.
Step-by-step explanation:
The statement that you could adjust the frequency of the AC source until the current reaches its minimum value to find the resonant frequency of an RLC circuit is false. In reality, the resonant frequency is the frequency at which the impedance of the circuit is minimal, and as a result, the amplitude of the current is a maximum. At this frequency, labeled fo or ωo, the inductive reactance XL and capacitive reactance XC cancel each other out, resulting in a circuit impedance consisting purely of the resistance R. Therefore, the current is at its peak because the impedance is at its least, not its minimum.
An RLC series circuit includes resistance (R), inductance (L), and capacitance (C) connected sequentially with an AC voltage source. The significance of the resonant frequency is that at this frequency, the circuit can efficiently transfer the maximum possible current from the source to the load, making it a critical parameter for applications like radio tuners, filters, and oscillators.