Rlc Circuit Resonant Frequency Formula. The resonance of a series rlc circuit occurs when the inductive and capacitive reactances are equal in magnitude but cancel each other because they are 180 degrees apart in phase the sharp minimum in impedance which occurs is useful in tuning applications. ω 0 1 l c.
L inductance of the inductor. Quality factor of coil q. The resonance of a series circuit occurs when the inductive reactance is exactly equal to capacitive reactance.
The resonant angular frequency is obtained by further simplifying the equation as follows.
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. While parallel resonant frequency is more common in electronic circuits it is equally complex. The frequency at which the inductive reactance xl capacitive reactance x c is known as resonance frequency. The resonant angular frequency is obtained by further simplifying the equation as follows.
