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How to calculate the magnitude of a function? 
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#1
Apr2212, 11:25 PM

P: 251

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] [b]3. The attempt at a solution[/b What i did was carry out the division, so i got [itex]\frac{j\omega\tau1}{(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? 


#2
Apr2312, 12:56 AM

P: 339




#3
Apr2312, 01:01 AM

P: 339

Then, try and think what you had to multiply by the expression [itex] j ω \tau + 1 [/itex] to get your answer.



#4
Apr2312, 01:52 AM

Sci Advisor
HW Helper
Thanks
P: 5,091

How to calculate the magnitude of a function?
RGV 


#5
Apr2312, 02:54 AM

P: 280

The magnitude of two vectors divided is the division of the magnitudes. What is the magnitude of the numerator? What is the magnitude of the denominator? What is the result of dividing those magnitudes?



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