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[SOLVED] Bode plots

dwsmith

Well-known member
Feb 1, 2012
1,673
I am trying to construct the Bode plots for \(H(s) = \frac{s}{s + 2}\).

For the magnitude Bode plot, \(H(i\omega) = \frac{1}{1 - i\frac{2}{\omega}}\) and the decibel gain expression is
\[
A_{\text{vdB}} = -10\log\bigg(1 + \frac{4}{\omega^2}\bigg).
\]
So this plots the first Bode plot, but I am not sure how to setup the phase/frequency Bode plots.

I have been following https://en.wikipedia.org/wiki/Bode_plot but I dont know what \(\omega_c\) is. Therefore, I can't \(\varphi\).