Complex Impedance: Solve Homework Problem

[zcus05]

Homework Statement

In a circuit consisting of a capacitor (Voltage across is 3.2V) and a 47\Omegaresistor (Voltage across is 4.65V), with a current of 0.0989A and a phase difference between the two voltages being 90', what is the complex impedance for the circuit?

Unsure of how to work this out, the stated values are ones I have worked out and may not necessarily be useful to this problem.

Homework Equations

The Attempt at a Solution

Wouldn't know where to start

 

[xcvxcvvc]

Z = R +jX=R-j\frac{|V_c|}{|I_c|}

 

[zcus05]

Thanks a ton, I think I get it now, had to brush up on a bit of my old algebra notes.