(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I have this function:

G(w)=[itex]\frac{1}{j\omega\tau+1}[/itex]

I want to find the magnitude

2. Relevant equations

S=[itex]\alpha[/itex]+j[itex]\beta[/itex]

magnitude(S)=[itex]\sqrt{[itex]\alpha[/itex]^{2}+[itex]\beta[/itex]^{2}}[/itex]

3. The attempt at a solution[/b

What i did was carry out the division,

so i got

[itex]\frac{j\omega\tau-1}{-(j\omega+1)}[/itex]

then do i just split it into real and imaginary part and then take the magnitude using this?

S=[itex]\alpha[/itex]+j[itex]\beta[/itex]

magnitude(S)=[itex]\sqrt{[itex]\alpha[/itex]^{2}+[itex]\beta[/itex]^{2}}[/itex]

Can anyone help i am not so sure how to approach this?

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# How to calculate the magnitude of a function?

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