LC Oscillating Circuit

An LC circuit (a coil plus a capacitor) is the electrical counterpart of a pendulum — the energy oscillates between the electric field of the capacitor and the magnetic field of the coil. The period of these oscillations is given by Thomson's formula:

$T=2\pi\sqrt{LC}\qquad f=\frac{1}{2\pi\sqrt{LC}}$

where $L$ is the inductance [H] and $C$ the capacitance [F]. The frequency $f$ is called the resonant frequency.

By changing $L$ or $C$ we tune the circuit to a chosen frequency — this is exactly how a radio receiver is tuned to a station. The calculator computes $f$, $T$ and the angular frequency $\omega=\tfrac{1}{\sqrt{LC}}$.