What can you say about the impedance of a series RLC circuit at the resonant frequency? The impedance of a series RLC circuit is maximum in magnitude at the resonant frequency and is equal to the resistance.

At resonance impedance of series RLC circuit is minimum and equal to resistance of the circuit

Explanation:

Let the resistance of the series RLC circuit is R

Capacitive reactance of the circuit is and inductive reactance of the circuit is

We know that impedance of the series RLC circuit is given by , here R is the resistance is inductive reactance and is capacitive reactance

At resonance capacitive reactance will be equal to inductive reactance

So

So impedance will become

So from above calculation we can say that impedance of series RLC circuit is minimum and equal to resistance of the circuit

Explanation:

Let R is the resistance of the circuit, L is the inductance of the circuit and c is the capacitance.

Inductive reactance= XL

capacitive reactance = Xc

The impedance of the RLC circuit is

As the circuit is in resonance, So, XL = Xc

In this condition, Z = R

So, the impedance is equal to the resistance of the circuit.  

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