An industrial load is modeled as a series combination of a capacitance and a resistance as shown [below]. Calculate the value of an inductance L across the series combination so that the net impedance is resistive at a frequency of 50 kHz.
The circuit is a resistor (200 ohms) and a capacitor (200 nF) in series, and that is in parallel with an inductor.
[tex]$Z=j \omega L$[\tex]
[Gah, how do I make the latex render?]
The Attempt at a Solution
I'm not really sure where to start with this, I'm not asking anyone to complete this for me. I just need help knowing where to start.
I'm assuming that omega is going to 50 lHz, but what is Z? Do I set it to infinity or something like that?
EDIT: Wait, do I just set the impedance to the impedance of the cap+resistor? Trying that now...
EDIT2: That didn't seem to work. I end up with an inductance of -.002-.004*j H. The answer in the back of the book is 8.05 mH, I just have no idea how to get there.