# Does the power factor of a balanced 3 phase system is 1?

One of my friend told me about that the power factor of a 3 phase balanced system is 1. I don't get any book reference for it. Is it true?

If true, then why? If I assume the 3 loads are equal 4+j3 ohm in the balanced system. Then there should a phase difference between the current and voltages. Can anyone plz explain?

• Your friend is wrong. If the load has a reactive component, the power factor can't be 1. Remember that it is the cosine of the phase angle between voltage and current. I'll leave a proper answer to someone that is more familiar with power than myself. Nov 19, 2014 at 14:12
• yes, it should be.. :) Nov 19, 2014 at 14:13
• @Matt Young. The power factor isnt the phase angle between voltage and current. It is a combination of harmonic distortion and the phase angle between voltage and current. For purely passive loads the Displacement Power Factor (DPF) equals power factor PF)
– user16222
Nov 19, 2014 at 14:25

$$\frac{P}{S}$$