Complex Power, calc load impedance

[Zarathuztra]

Homework Statement

A load absorbs 58959W at a lagging power factor of pf = 0.73. If the current flowing through the load is i_x = 0.001A-rms , determine the impedance of the load.

Homework Equations

Ohms law
Impedance/Voltage/Power Triangles

The Attempt at a Solution

If the load absorbs 58959W, I'm assuming that is apparent power (S)

If 58959W is S then by P_avg = S*pf = I_rms²R

R = 58959*.73/.001² = 43.04 GΩ (must be wrong...)

I would then take R/pf = Z... but the number gets more ridiculous. How am I going about this wrong?

 

[gneill]

Apparent power is usually specified in VA rather than W. Real power is given in W, reactive power in VAR.

 

[Zarathuztra]

then 58959 = P_avg

and P_avg = i_rms² * R

so 58959/.001² = R = 5.9 * 10¹⁰

Z = R/pf = 5.9 * 10¹⁰ / 0.73

 

[gneill]

Okay, but usually an impedance is specified by its real and reactive components (it's actually a complex number), or in magnitude and angle form.

 

[Zarathuztra]

ah that's what was wrong with my input.. lol. Thanks gneill