Magnitude of transfer function

Thread Starter

thisonedude

Joined Apr 20, 2014
52
So i am study for a midterm that i have this coming Friday. I need help finding the magnitude of the following transfer function:

H(jω) = (-Rf/R1) * ((1/RfC)/((1/RfC)+jω))

Can anyone help?
 

MrAl

Joined Jun 17, 2014
13,667
Hi,

In short, for a given complex number:
y=a+b*j

the magnitude is:
|y|=sqrt(a^2+b^2)

and for a fraction:
y=N/D=(a+b*j)/(c+d*j)

the magnitude is:
|y|=|N|/|D|

or written out:
|y|=sqrt(a^2+b^2)/sqrt(c^2+d^2)

or written differently:
|y|=sqrt((a^2+b^2)/(c^2+d^2))

For a product:
y=A*B=(a+b*j)*(c+d*j)

we have:
|y|=|A|*|B|=sqrt(a^2+b^2)*sqrt(c^2+d^2)=sqrt((a^2+b^2)*(c^2+d^2))
 
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