(a) A load receives 400 V through a transmission line. The line current is 20A. The power factor is 0.9. The transmission line has a resistance of 1 Q. (i) Calculate the power loss in the transmission line. (ii) Calculate the active power delivered to the load. (iii) Calculate the reactive power delivered to the load.

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21.
(a) A load receives 400 V through a transmission line. The line current is 20A. The power
factor is 0.9. The transmission line has a resistance of 1 Q.
(i) Calculate the power loss in the transmission line.
(ii) Calculate the active power delivered to the load.
(iii) Calculate the reactive power delivered to the load.
(b) A single-phase transformer is rated at 200V/1000V. The secondary voltage of the
transformer is v(t) = 1400 cos (100nt + 7/3) V when a load of 100 2 is connected.
(i) Calculate the primary RMS voltage.
(ii) Calculate the load reflected on to the primary side.
(iii) Calculate the power delivered to the load.
(c) A DC motor, which is supplied by a 30 V DC power source, is operating at a constant
motor speed of 600 rpm. The motor has an armature resistance of 0.2 and a back-
emf of 28 V. Determine the following:
(i) The current drawn by the motor.
(ii) The torque produced by the motor.
(iii) The power loss in the armature.
Transcribed Image Text:21. (a) A load receives 400 V through a transmission line. The line current is 20A. The power factor is 0.9. The transmission line has a resistance of 1 Q. (i) Calculate the power loss in the transmission line. (ii) Calculate the active power delivered to the load. (iii) Calculate the reactive power delivered to the load. (b) A single-phase transformer is rated at 200V/1000V. The secondary voltage of the transformer is v(t) = 1400 cos (100nt + 7/3) V when a load of 100 2 is connected. (i) Calculate the primary RMS voltage. (ii) Calculate the load reflected on to the primary side. (iii) Calculate the power delivered to the load. (c) A DC motor, which is supplied by a 30 V DC power source, is operating at a constant motor speed of 600 rpm. The motor has an armature resistance of 0.2 and a back- emf of 28 V. Determine the following: (i) The current drawn by the motor. (ii) The torque produced by the motor. (iii) The power loss in the armature.
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