A 15 kW 230 V 1725 rmin 60 Hz single phase pump motor has th

A 1.5 kW, 230 V, 1725 r/min, 60 Hz single phase pump motor has the following characteristic:

Full-load current: 12 A

Efficiency: 76%

Power factor: 78 %

a. Calculate the active and reactive power absorbed by this machine when it operates at full load

Motor input =230*12va

=230*12*0.78 w

Motor output=input*e efficiency

=230*12*0.78*0.76

Active power absorbed=1.636kw

Reactive power. =230*12*0.76*0.628

=1.315kvar