Assistance with single line reactance calcs

[jcbeck]

Hello to all, how do I convert a pi reactance network to a single value - see attached. Can't work it out after much trying, just need to understand the detailed calc, then I'll be fine. Thanks in advance!

 

[kingpb]

1.5 + 0.6 = 2.1

0.875 is the inverse of the sum of the inverses of 2.1 and 1.5, i.e. impedance in parallel

 

[Besoeker]

Hello to all, how do I convert a pi reactance network to a single value - see attached. Can't work it out after much trying, just need to understand the detailed calc, then I'll be fine. Thanks in advance!

As the kingpb put it but slightly expanded:

((1.5+0.6)*1.5)/(1.5+0.6+1.5) = 0.875

The bit in blue are the two lower elements of your diagram and effectively in series. Those are then in parallel with the upper 1.5 element

 

[jcbeck]

As the kingpb put it but slightly expanded:

((1.5+0.6)*1.5)/(1.5+0.6+1.5) = 0.875

The bit in blue are the two lower elements of your diagram and effectively in series. Those are then in parallel with the upper 1.5 element

Got it! Many thanks!

 

[jumper]

Cool! I enjoy the math threads a lot.:thumbsup: