Solving Circuits with James: Finding I, Power, & Phase Angle

[James889]

Hi,

I have the following circuit
[PLAIN]http://img707.imageshack.us/img707/3024/upgp580.png

And i need to find the phasor current I, the power, reactive power and apparent power delivered by the source and state whether it's lagging or leading. But I am kind of stuck at the first step.

First i replace the capacitor with it's complex impedance
$$-j\frac{1}{333\cdot10\cdot10^{-6}} = -J300.3$$

And that is parallel with the 115ohm resistor, yielding:

$$\frac{1}{(1/115)+(1/-300)} = 186.48\ohm$$

And the phase angle

$$arctan\bigg(\frac{1/-300}{1/115}\bigg)= -20.93$$

So the current I is given by
$$\frac{1585\sqrt{2}}{186.48} \cdot cos(12-(-21)) = 10.08$$

Which is as usual incorrect.
According to the key the current I is $$15.11 \angle 20.66$$

Please help
James

 

[n.karthick]

You should consider capacitive reactance as a complex quantity while calculating total impedance.