How Do You Convert a Transfer Function into Polar Form?

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To convert a transfer function into polar form, start by expressing the complex function H(jω) in terms of its magnitude and phase. The magnitude can be calculated using the formula |H(jω)|, while the phase is determined by the argument of the complex number, often expressed as ∠H(jω). The confusion around using the s-domain instead of the jω domain is clarified; polar form specifically refers to the representation of complex numbers in terms of magnitude and angle, not necessarily involving the s-domain. Understanding these components will help in accurately expressing the transfer function in polar form. Proper conversion will yield both the magnitude and phase angle, essential for analyzing the system's behavior.
Khesahn
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Homework Statement


For my particular circuit I have found my transfer function already, which comes out to be:

H(jω)= R / [R+(1/jωC)+jωL]

I am now supposed to express it in polar form. I am confused on how I express such an expression in polar form. Could anyone give me some information on how to convert a transfer function to its polar form?

Homework Equations


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The Attempt at a Solution


I have no solution for now as I am not sure on how to express an equation in polar form. The only thing I can think of is to replace the jω to change it to the s domain, but is this really polar form? I am confused, any help would be appreciated!
 
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Polar form consists of a magnitude and an angle...
 
Khesahn said:
The only thing I can think of is to replace the jω to change it to the s domain, but is this really polar form? I am confused, any help would be appreciated!

Your transfer function is a complex number that is a function of frequency (w). Polar form represents a complex number as a magnitude and phase.
 

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