Calculating Average Power of 130V RMS Generator Circuit

[Xels]

Homework Statement

A generator with an rms voltage of 130V is connected in series to a resistor 3.65k$$\Omega$$ and a capacitor 3.00$$\mu$$F.

Using the frequency found in part A (47.5Hz), find the average power consumed by this circuit.

$$\phi$$ = 17degrees

Homework Equations

Latex isn't working for me so I'm sorry for the formatting

P_avg = (V_rms/Z)V_rmsCos(17)

Z=((3650²+(1/(2*pi*47.5Hz*3.00*10^-6Farad))²)^(1/2)

P_avg = (V_rms/Z)V_rmsCos(17)

P_avg = .1111 W

The answer is 4.23 W

I'm just trying to figure out where I went wrong.

 

[gneill]

It's hard to tell where you went wrong because you haven't supplied much in the way of intermediate results. For example, what value did you get for Z, the magnitude of the impedance?

When I compute (V_rms/Z)V_rmsCos(17) I get the expected answer.

 

[Xels]

After punching it through again I got the correct answer; I went wrong in the way I set up Hz; punching in 47.5^-1, since Hz = S^-1; but that's redundant...