24 In an unbalanced three-phase electrical circuit, the current at time t ms is given by I(t) = 5 sin 10t + 7 sin (10t – ²) + 8 sin (10t – 4) milliamperes. a Write I(t) in the form A cos(10t + B). b Find the highest current flowing through the circuit, and the time at which it first occurs.

24 In an unbalanced three-phase electrical circuit, the current at time t ms is given by I(t) = 5 sin 10t + 7 sin (10t – ²) + 8 sin (10t – 4) milliamperes. a Write I(t) in the form A cos(10t + B). b Find the highest current flowing through the circuit, and the time at which it first occurs.

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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24 In an unbalanced three-phase electrical circuit, the current at time t ms is given by
I(t) = 5 sin 10t + 7 sin (10t – 2) + 8 sin (10t - 4) milliamperes.
a Write I(t) in the form A cos(10t + B).
b Find the highest current flowing through the circuit, and the time at which it first occurs.

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