Two balanced three-phase motors in parallel, an induction motor drawing 400 kW at 0.8 pf lagging and a synchronous motor drawing 150 kVA at 0.9 pf leading, are supplied by a balanced, three-phase, 4.16-kV source. Line impedances between the source and the load are neglected. a) Determine the power factor of the combined motor-load. b) Determine the magnitude of the line current in each motor. c) Determine the magnitude of the line current delivered by the source.

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KVL and KCL

KVL stands for Kirchhoff voltage law. KVL states that the total voltage drops around the loop in any closed electric circuit is equal to the sum of total voltage drop in the same closed loop.

Sign Convention

Science and technology incorporate some ideas and techniques of their own to understand a system skilfully and easily. These techniques are called conventions. For example: Sign conventions of mirrors are used to understand the phenomenon of reflection and refraction in an easier way.