Unknown reactance how to solve?

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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: