Find the relationship between 'g' and 'G'
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The resonant frequency of a circuit is the frequency at which the equivalent impedance of a circuit is purely real (the imaginary part is null).
Mathematically this frequency is described as
Where
L = Inductance
C = Capacitance
Our values are given as
Replacing we have,
From this relationship we can also appreciate that the resonance frequency infers the maximum related transfer in the system and that therefore given an input a maximum output is obtained.
For this particular case, the smaller the capacitance and inductance values, the higher the frequency obtained is likely to be.