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Making current and voltage in phase

1. Homework Statement
I have a coil that is connected to 60hz, 100V ac generator. At this frequency, the coil has an impedance of 11.1 ohms and a reactance of 8.8 ohms. I need to find what series capacitance is required so the the current and voltage are in phase.


2. Homework Equations
X(L) = X(c) ; X(L) = 1 / (wc)



3. The Attempt at a Solution
I have tried implemented the solution above, but I don't seem to be getting the correct answer. Any help would be greatly appreciated.
 

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