A three-phase line has an impedance of 2+j4 N. The line feeds two balanced three-phase loads that are connected in parallel. The first load is Y-connected and has an impedance of 30+j40 Q per phase. The second load is A-connected and has an impedance of 60-j45 Q. The line is energized at the sending end from a three-phase balanced supply of line voltage 207.85 V. Taking the phase voltage Va as reference, determine: a) The current, real power, and reactive power drawn from the supply. b) The line voltage at the combined loads. c) The current per phase in each load. d) The total real and reactive powers in each load and the line.

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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.