Unknown reactance how to solve?

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The discussion revolves around solving for an unknown reactance in a circuit with two parallel impedances, Z1 and Z2, and a given total power factor of 0.707. Participants calculate the individual impedances of Z1 and Z2, converting them into polar form and then combining them to find the total impedance. The user expresses uncertainty about the next steps after simplifying the parallel impedances. The conversation encourages the use of specific formulas for combining impedances to progress further in solving for the unknown reactance. The thread emphasizes the importance of understanding impedance calculations in AC circuits.
herbgriffin
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unknown reactance ...how to solve?

Homework Statement


a circuit with the unknown X (pure reactance) in sereis with a two parallel impedance.Z1= 4-j8 ; Z2= 1+j10 ...and total power factor is 0.707.. find the unknown reactance.


Homework Equations


p.f. = Rtotal/Ztotal...


The Attempt at a Solution


Z1= 8.94 angle of -63.43 degrees
Z2=10.05 angle of 84.29 degrees
i simplified the parallel Z1and Z2
Z12= 16.68 angle of -0.94 degrees..
or Z12= 16.68-j0.27
and i don't know how to continue...
 
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hi herbgriffin! :smile:

(have a degree: ° and try using the X2 icon just above the Reply box :wink:)

start by finding the combined impedance of the two parallel impedances …

what formula should you be using for that? :smile:
 

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