total current of 10 A flows through the parallel combination of three impedance : (2− j5) Ω, (6 + j3) Ω, and (3 + j4) Ω. Calculate the real, reactive, and apparent powers in each branch. Find also the p.f. of the combination.

total current of 10 A flows through the parallel combination of three impedance : (2− j5) Ω, (6 + j3) Ω, and (3 + j4) Ω. Calculate the real, reactive, and apparent powers in each branch. Find also the p.f. of the combination.

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter2: Fundamentals

Section: Chapter Questions

Problem 2.2P: Convert the following instantaneous currents to phasors, using cos(t) as the reference. Give your...

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Concept explainers

Maximum power transfer theorem

A resistive load will consume maximum power from a network when the load resistance is equal to the resistance of the network as viewed from the open-circuit terminals, with all energy sources removed leaving only the internal resistances. Physicist Moritz von Jacobi introduced the maximum power transfer theorem in 1940. Therefore, this theorem is also known as Jacobi's law.

Question

A total current of 10 A flows through the parallel combination of three impedance : (2− j5) Ω, (6 + j3) Ω, and (3 + j4) Ω. Calculate the real, reactive, and apparent powers in each branch. Find also the p.f. of the combination.

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