Tuning an LRC circuit

Uncategorized 1 Minute

A short notepad on some electronic stuff I have been reading up on via Electronics Demystified: this time about tuning an LRC (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 2\pi\textit{f}L (where \textit{f} is the AC frequency and L is the inductance), while capacitive resistance is \frac{1}{2\pi\textit{f}C} where C is the capacitance.

So to cancel these out: 2\pi\textit{f}L = \frac{1}{2\pi\textit{f}C} ,  and as we may assume L and C are fixed this requires finding the resonant frequency \textit{f}_{r} :

\frac {1}{2\pi\sqrt{LC}}

Related articles

Published by Adrian McMenamin

Talk to the hand

Published

One thought on “Tuning an LRC circuit”

  1. Pingback: Q-factor in an LRC series circuit « cartesian product

Comments are closed.