Calculating Impedances in Polar Coordinates: Tips and Tricks

AI Thread Summary
To add three impedances in polar form, it's recommended to convert them to rectangular coordinates for easier calculations, especially when dealing with series and parallel combinations. Multiplication in polar coordinates involves multiplying the magnitudes and adding the angles, while addition requires converting to rectangular form first. Modern calculators often have functions for converting between polar and rectangular forms, which can simplify the process. It's beneficial to practice several examples to become proficient in these calculations. Understanding these methods will help identify errors that may arise during calculations.
barry-
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Hello all i have a question about adding 3 impedances given in polar form, must i convert them to x..y.. first or is there a quicker way on a calculator and if so can anyone give advice i have the equation Zo=√Z(oc)Z(sc) but finding it hard to understand many thanks.
 
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barry- said:
i have a question about adding 3 impedances given in polar form, must i convert them to x..y.. first or is there a quicker way on a calculator and if so can anyone give advice i have the equation Zo=√Z(oc)Z(sc)
Are you sure you didn't mean multiplying two impedances? In that case, if Zoc and Zsc are two complex impedances in polar form, their product is a new complex number with magnitude |Zoc|× |Zsc| and phase angel φoc + φsc.

barry- said:
[...]finding it hard to understand many thanks.
It's easier to understand many thanks if you use punctuation.
 
well its 3 impedance in series and parallel so if i use the formula z =z1z2/z1 + z2 and am i right that in polar form you multiply the x-axis and add the y (i.e the value given as the angle)? that will sort the 2 impedances out in parallel then the remaining impedance will be in series with that and i can just add them, Thank you
 
Congratulations on improved punctuation !

Yes - you can add in rectangular,

and you can multiply in polar as you described. I'd have said " Multiply the magnitudes and add the angles" , though. To say X and Y implies rectangular.

I learned this in slide rule days so it's ingrained.
I really suggest you work about ten examples on paper so it'll become habit for you.

I was through college before pocket calculators appeared. When the HP35 came out ~1972 with its one button polar-rectangular conversion the EE world was flabbergasted.

So there's probably an easy way to do it with a modern calculator. But you should become fluent in the method so you can spot errors coming from missed keystrokes.

My two cents !

old jim
 
:) thanks english is not a strong point of mine, thank you for the help, I am sure my calculater can add them but I am not sure how, so as long as it can convert between polar and rectangular and then do what i need to do il be happy, thank you.
 

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