A short notepad on some electronic stuff I have been reading up on via Electronics Demystified: this time about tuning an (series) circuit (i.e. one with capacitance, inductance and resistance).

In these circuits, the resonant frequency is found when the effects of capacitance and inductance cancel each other out.

Inductive reactance is given by (where is the AC frequency and is the inductance), while capacitive resistance is where is the capacitance.

So to cancel these out: , and as we may assume and are fixed this requires finding the resonant frequency :

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