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An a.c. voltage, V, comprises of a fundamental voltage of 100 V rms at afrequency of 120 Hz, a 3rd harmonic which is 20% of the fundamental, a5th harmonic which is 10% of the fundamental and at a...

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An a.c. voltage, V, comprises of a fundamental voltage of 100 V rms at afrequency of 120 Hz, a 3rd harmonic which is 20% of the fundamental, a5th harmonic which is 10% of the fundamental and at a phase angle of1.2 radians lagging.(i) Write down an expression for the voltage waveform.(ii) Sketch the waveforms of the harmonic components.(iii) Determine the voltage at 20 ms.(iv) Given an ideal V = 100 V rms, what is the percentage error at 20 ms?
Answered Same Day Dec 26, 2021

Solution

Robert answered on Dec 26 2021
129 Votes
The ac voltage contains the following components:
(a) Fundamental voltage of 100V rms at 120 Hz frequency ( 120**2,21001  mV ). The
co
esponding equation of wave is )240sin(21001 tV 
(b) 3rd harmonic voltage is 20V rms (20% of fundamental) at 3x120=360 Hz frequency (
360**2,2203 ...
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