This question uses construction skills to determine the machine characteristics. A three-phase delta-connected synchronous induction motor is connected to a 415 volt, 50 Hz supply. The winding resistance is negligible and the synchronous reactance per phase is 4 ohms. The input power is 25 kW and the motor has a leading power factor of 0.8. a) find i) Calculate phase current ii) Calculate the stator reactive voltage drop IXs b) Draw the phasor diagram for this machine to scale (use graph paper) i) draw the generated voltage V ii) use the IXs phasor and the V phasor to construct the phasor for E. iii) measure or calculate the magnitude of E iv) By construction and/or by calculation find the load angle c)If the excitation and, as a consequence the generated emf, is reduced by 10%: i)Calculate the new value of the generated emf E’ ii)Construct the new phasor for E’ on the same diagram, using the same value for reactive volt drop iii)Calculate or measure the new load angle iv)Draw the new stator current phasor from the new reactive power phasor, and measure or calculate the new power factor d)Comment very briefly on the effect that reducing the excitation has on the power factor and the load angle