Question

A voltage of 220V (rms) line to netralvoltage is applied across a three phase Y connected resistive load. Each phase of the Y connected loads has a resistance of 100Ω. i) Find current through each phase ii) Find the total three phase power iii) Findthe power factor of the load

Answer 1

Current through each phase Vp = 2.2A

Total three phase power Pt= 1.45kW

Power factor of the load pf = 1

Step-by-step explanation:

i) Find current through each phase

Vp =220V (rms)

Z =100 Ω

I = Vp/Z

= 220/100

= 2.2A

ii) Find the total three phase power

for a resistive load, Power, P = VI

Power for each phase is given as:

P = 220 * 2.2

= 484 W

Total power TP =3* P

=484*3

= 1452W

=1.45kW

iii) Find the power factor of the load

Phase angle for a resistive load is 0.

α= 0

Hence, power factor of load = cos α

pf = cos 0

pf = 1