[TowerTalk] Beta match adjustment

[Steve Hunt]

Gerald,

One example might be where you need to divide two complex numbers - for 
example you want to calculate (a+jb)/(c+jd); that requires some tedious 
maths.

However if the complex numbers are expressed in polar form: (w @ angle 
x) and (y @ angle z), the answer is simple: w/y @ angle(x-z)

The engineers amongst us will be very familiar with swapping between the 
two forms and using whichever is the easier to manipulate in a 
particular calculation.

We often use the polar form without realising it; for example a 
resistance of 40 ohms in series with a reactance of 30 ohms gives a 
total impedance of  50 ohms. We've unwittingly moved from the 40+j30 
form to the 50 at angle37degrees polar form.

73,
Steve G3TXQ

TexasRF at aol.com wrote:
> Thanks Steve. The series and parallel forms of notation are very intuitive; 
>  easy to visualize. Can you enlighten me/us on the advantages of using 
> polar  notation?
>  
> There has to be a good reason for using it, right?
>  
> 73,
> Gerald 
> K5GW
>