ELC-46

LC resonance

Natural LC frequency.

Reading speed

CircuitsLC resonance

Governing equation

f_0=1/(2\pi\sqrt{LC})

where

L: L (mH)
C: C (µF)
f_0: Frequency (Hz)

Lecture brief

Historical brief

Ohm (1827), Kirchhoff (1845) and Maxwell’s circuit reduction still run every board: RLC transients, transformers, skin effect and three-phase power. The sheets are those network laws, not a SPICE deck. This sheet (ELC-46 — LC resonance) is the form associated with LC resonance. Working symbols: $L$ , $C$ $\rightarrow$ $f_0$ . Natural LC frequency. Pedagogical SI sheet with a live model and a swept parameter.

Purpose

Purpose: compute

f_0

from

L

C

in Electrical via

f_0=1/(2\pi\sqrt{LC})

Natural LC frequency. Use it when a real electrical question must be answered in SI before a code check.

Live realistic example

In symbols

Live case. Given

L = 10.000\,\mathrm{mH}

C = 10.000\,\mathrm{\mu F}

, the governing relation

f_0=1/(2\pi\sqrt{LC})

yields

f_0 = 503.29\,\mathrm{Hz}

. One governing identity, SI units, a single sweep on the sheet. Move a slider: the numbers are this situation, not a canned story.

Calculator

Inputs

L L10 mHC C10 µF

Outputs

Frequency f_0503.29 Hz

Reading speed

Watch on YouTube

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Narration of this film

One governing identity, SI units, a single sweep on the sheet.

Natural LC frequency. Pedagogical SI sheet with a live model and a swept parameter.

Reading speed

Watch on YouTube