What is the behavior of a series resonant circuit at resonance?

At resonance, a series resonant circuit has maximum current and minimum impedance.

When a series resonant circuit is at resonance, the inductive and capacitive reactances cancel each other out, resulting in a purely resistive circuit. This means that the impedance of the circuit is at its minimum value, allowing maximum current to flow through the circuit.

At resonance, the voltage across the capacitor and inductor are equal and opposite, resulting in a zero net voltage across the circuit. This means that the power factor of the circuit is unity, and the circuit is said to be in a state of resonance.

The frequency at which resonance occurs is determined by the values of the inductor and capacitor in the circuit. This frequency is known as the resonant frequency, and can be calculated using the formula f = 1/(2π√LC), where L is the inductance of the inductor, C is the capacitance of the capacitor, and π is pi.

In practical applications, series resonant circuits are used in radio and television tuning circuits, as well as in power factor correction circuits. Understanding the behavior of a series resonant circuit at resonance is important for designing and optimizing these types of circuits.