Argument of a transfer function

Thread Starter

adashiu

Joined Nov 27, 2008
8


Hi Guys !
I need to calculate an argument of a transfer function of this circuit.

I calculated H(jω)=(1+R2*C*jω) / (1+C*(R1+R2)jω)

and |H(jω)|=(√(1+(R2*C*ω)^2)) / (√(1+ω^2*C^2*(R1+R2)^2)

Is it correct ? How to calculate an argument ?
 

jegues

Joined Sep 13, 2010
733


Hi Guys !
I need to calculate an argument of a transfer function of this circuit.

I calculated H(jω)=(1+R2*C*jω) / (1+C*(R1+R2)jω)

and |H(jω)|=(√(1+(R2*C*ω)^2)) / (√(1+ω^2*C^2*(R1+R2)^2)

Is it correct ? How to calculate an argument ?
Your transfer function looks good to me.

The argument of the transfer function in the following form,

\(\frac{a + jb}{c + jd}\)

Is given as follows,

\(Tan^{-1}(\frac{b}{a}) - Tan^{-1}(\frac{d}{c})\)
 
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