Rlc Circuit Resonant Frequency Formula. In complex form the resonant frequency is the frequency at which the total impedance of a series rlc circuit becomes purely real that is no imaginary impedance s exist. Frequency response of a series rlc circuit.
A series resonance circuit has a minimum impedance at resonance. The susceptance b is zero because b l b c as shown. Changing or adding resistance to the circuit does not affect the angular resonant frequency.
The resonance of a series circuit occurs when the inductive reactance is exactly equal to capacitive reactance.
Displaystyle omega 0 frac 1 sqrt l c this is exactly the same as the resonance frequency of an lc circuit that is one with no resistor present. ω 0 1 l c. So the total impedance of the series circuit becomes just the value of the resistance and therefore. The sharpness of the minimum depends on the value of r and is characterized by the q of the circuit.
