the amplitude and phase of a complex number to present it in pole diagram, Nyquist and Nichols

Question

i have this equation

T(jw)=((1-jw))/((jw)^2 (1+jw))

$$T(jw)=\dfrac{1-jw}{(jw)^2 (1+jw)}$$

and i want to calculate the amplitude which i found like this

|T|= (√(1-w^2))/(w (√(1+w^2))

please tell me if it's correct. and the phase; i did't know where to start it. so if you guys can help. ps: it keeps telling me to write more about the problem i have, but that basically it. so i don't know how to fill the question. LOL

Answer 1

You need review your solution and notice that $$|ab|=|a||b|$$ and $$\left|\frac{a}{b}\right|=\frac{|a|}{|b|}$$ then $$|(jw)^2|=|jw|^2=|j|^2|w|^2=|w|^2$$ also $$|a\pm jb|=\sqrt{a^2+b^2}$$