The resonant frequency of a circuit is the frequency [tex]\omega_0[/tex] at which the equivalent impedance of a circuit is purely real (the imaginary part is null).
Mathematically this frequency is described as
[tex]f = \frac{1}{2\pi}(\sqrt{\frac{1}{LC}})[/tex]
Where
L = Inductance
C = Capacitance
Our values are given as
[tex]C = 15*10^{-6}\mu F[/tex]
[tex]L = 0.280*10^{-3}mH[/tex]
Replacing we have,
[tex]f = \frac{1}{2\pi}(\sqrt{\frac{1}{LC}})[/tex]
[tex]f = \frac{1}{2\pi}(\sqrt{\frac{1}{(15*10^{-6})(0.280*10^{-3})}})[/tex]
[tex]f= 2455.81Hz[/tex]
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.
