A 3 kava, 500/250 V, 50 Hz, step-down transformer has the following parameters: Re1 = 3.5 ohm, Xe1 = 4.5 ohm, Rc1 = 2.9 Kilo ohm and Xm1 = 2.4 Kilo ohm. The transformer is operating at full-load with...

A 3 kava, 500/250 V, 50 Hz, step-down transformer has the following parameters: Re1 = 3.5 ohm, Xe1 = 4.5 ohm, Rc1 = 2.9 Kilo ohm and Xm1 = 2.4 Kilo ohm. The transformer is operating at full-load with a power factor of 0.71 lagging. Determine the following:

(1) The full load primary current.

(2) The angle between the full load voltage and current.

(3) The % full load voltage regulation of the transformer.

(4) The magnitude of the no-load current.

(5) The angle of the no-load current

(6) The power factor of the no-load current.

(7) Is the power factor leading or lagging?

(8) The iron losses in watts.