Is there an EE around here that can help me with a problem? In my power systems class, one of my hw problems gives me the hp of a motor, the voltage, and the original power factor of the circuit, asking on what capacitor value I would need to correct the power factor to another value, but I can't for the life of me how to do it. I've been killing myself for about 2 hours now and I know it's simple, but I can't seem to piece it together. Anyone offer any help? Here is the question in all details, I even know the answer because it is in the back of the book, but I need to know how to "solve" it. Here it goes:

Problem:
A single-phase 3hp, 240V pool pump(motor) runs at full load with 92% efficientcy and a power factor of 0.73 lagging. Calculate the capacitor needed to improve the power factor to 0.98 lagging.

Thanks for the help!

I'm curious as to how to figure out real and reactive power of the circuit w/o any elements. *shrug*

 

Find the full load motor current. You will have to look in the NEC.

 

n/m figured it out