Laplace Transform of a Triangle Wave

Triangle wave with period T=2 and amplitude A=2

Introduction

This article explains how to transform a periodic function (in this case a triangle wave). This is especially useful for analyzing circuits which contain triangle wave voltage sources.

Define F(t)

$m1={\frac {2+2}{.5+.5}}=4$

$m2={\frac {-2-2}{1.5-.5}}=-4$ So,

Failed to parse (SVG with PNG fallback (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle F\left( t \right)=\left\{\begin{array}{cc} 4t & -.5\leq t<.5 \\ -4t+4 & .5\leq t<1.5 \end{array}\right }

Author

• Michael Vier