Question

The natural angular frequency of the parallel LC circuit is?

I got this question in a national level competition.

The query is from Elementary Signals topic in portion Signals and Systems Basics of Signals and Systems

Answer 1

The natural angular frequency (\(\omega_0\)) of a parallel LC circuit is given by the formula:

\[

\omega_0 = \frac{1}{\sqrt{LC}}

\]

Where:

- \(L\) is the inductance of the coil in henries (H),

- \(C\) is the capacitance of the capacitor in farads (F),

- \(\omega_0\) is the natural angular frequency in radians per second (rad/s).

This formula represents the frequency at which the parallel LC circuit will oscillate naturally if not driven by an external source.