R-C network analysis (AC)

1. The problem statement, all variables and given/known data

Compute values for R and C such that the total series impedance Z=500[itex]\angle[/itex](-36.1o) when f=10kHz.

2. Relevant equations

ZC = -j*(1/(ωC)) = 1/(jωC) where j=[itex]\sqrt{-1}[/itex]

3. The attempt at a solution

Seems like a pretty straightforward problem, I seem to be missing an equation somewhere but not sure what else I could use here.

ω=2*[itex]\pi[/itex]*10*103 = 62832 rad/s
Zeq=500[itex]\angle[/itex](-36.1o) = R – j/(ωC) = R – j/(62832*C)

And here I am left with 1 equation and 2 variables, any ideas on what else I could use to solve this problem?


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