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A single phase voltage source “v" is given by v = 141 sin(wt) + 42.3 sin(3wt) + 28.8 sin(5wt). The corresponding current in the load circuit is given by i = 16.5 sin (wt + 54.5°) + 8.43 sin (3wt – 38°) + 4.65 sin (5wt – 34.3°).

A single phase voltage source “v" is given by v = 141 sin(wt) + 42.3 sin(3wt) + 28.8 sin(5wt). The corresponding current in the load circuit is given by i = 16.5 sin (wt + 54.5°) + 8.43 sin (3wt – 38°) + 4.65 sin (5wt – 34.3°).

Power System Analysis and Design (MindTap Course List)
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 2.7P: Let a 100V sinusoidal source be connected to a series combination of a 3 resistor, an 8 inductor,...
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A single phase voltage source "v" is given by v = 141 sin(wt) + 42.3 sin(3wt) + 28.8 sin(5wt). The corresponding current in the load circuit is given by i = 16.5 sin (wt + 54.5°) + 8.43 sin (3wt – 38°) + 4.65 sin (5wt - 34.3). Determine the following: (a) The components present in the circuit. (b) The rms value of the current. (c) The rms value of the voltage. (d) The power at fundamental frequency in W. (e) The power in the third harmonic in W. (f) The power in the fifth harmonic in W. (g) The total power of the circuit in W. (h) The total power factor of the circuit.
Transcribed Image Text:A single phase voltage source "v" is given by v = 141 sin(wt) + 42.3 sin(3wt) + 28.8 sin(5wt). The corresponding current in the load circuit is given by i = 16.5 sin (wt + 54.5°) + 8.43 sin (3wt – 38°) + 4.65 sin (5wt - 34.3). Determine the following: (a) The components present in the circuit. (b) The rms value of the current. (c) The rms value of the voltage. (d) The power at fundamental frequency in W. (e) The power in the third harmonic in W. (f) The power in the fifth harmonic in W. (g) The total power of the circuit in W. (h) The total power factor of the circuit.
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