Find a variable to make equation = 0

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Plamen Dimitrov
Plamen Dimitrov il 5 Lug 2021
Modificato: Matt J il 5 Lug 2021
Sorry if the question is of the most newbie kind, but my education is not in english so even searching for explanation of the most basic of math problems is really hard.
I'm struggling with this equation: I need to find for which value of w, the answer (wsr) will be 0.
This is the code I've written so far but ofc it doesnt give me the answer I need so any pointers how to fix are very much appreciated!
syms w
ky = 175;
kob = 0.5;
Tob = 40;
wsr = sqrt(ky^2*(1+ky*kob+w^2*Tob^2)^2) + (w*ky^2*kob*Tob)^2 / (1+ky+kob)^2+w^2*Tob^2

Risposte (2)

Amit Bhowmick
Amit Bhowmick il 5 Lug 2021
use fzero or fsolve to find the roots.

Matt J
Matt J il 5 Lug 2021
For the data that you have shown, there is no solution. Whenever ky^2*kob*Tob is non-zero, then the only possible location where wsr can be zero is at w=0 because otherwise the numerator will be strictly positive.
  2 Commenti
Plamen Dimitrov
Plamen Dimitrov il 5 Lug 2021
Modificato: Plamen Dimitrov il 5 Lug 2021
This is what I was given to calculate a certain frequency for a PD regulator. It should be a complex number from which I only need the real value.
Edit: This is the whole thing
Matt J
Matt J il 5 Lug 2021
Modificato: Matt J il 5 Lug 2021
There is no solution for A(w)=0. There is a solution for Re{R(jw)}=0, but you can solve that by hand.

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