Q4 The output voltage waveform of a DC-AC converter is shown in Figure Q4. (a) By inspection of the waveform what can you say with justification, about the harmonic content (i.e., the Fourier series expansion) of this voltage. (b) Show that the Fourier series expansion of this waveform is given by V 400 sin(2n–1)@t 2n- (2n– 1)a ↑ (c) Assuming that the amplitude A is 10 V, write down the fundamental, the third and fifth harmonic in the form V, =V, sin(m,t) and sketch a fully labelled single-sided amplitude line spectra of this voltage waveform showing the first 4 Fourier components. v(t) A @f -A -1 1 2 Figure Q4
Q4 The output voltage waveform of a DC-AC converter is shown in Figure Q4. (a) By inspection of the waveform what can you say with justification, about the harmonic content (i.e., the Fourier series expansion) of this voltage. (b) Show that the Fourier series expansion of this waveform is given by V 400 sin(2n–1)@t 2n- (2n– 1)a ↑ (c) Assuming that the amplitude A is 10 V, write down the fundamental, the third and fifth harmonic in the form V, =V, sin(m,t) and sketch a fully labelled single-sided amplitude line spectra of this voltage waveform showing the first 4 Fourier components. v(t) A @f -A -1 1 2 Figure Q4
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Q4
The output voltage waveform of a DC-AC converter is shown in
Figure Q4.
(a) By inspection of the waveform what can you say with
justification, about the harmonic content (i.e., the Fourier series
expansion) of this voltage.
(b) Show that the Fourier series expansion of this waveform is
given by
400
sin(2n–1)@t
2n-1
(2n – 1)x
(c) Assuming that the amplitude A is 10 V, write down the
fundamental, the third and fifth harmonic in the form
V, = V, sin(m,t) and sketch a fully labelled single-sided amplitude
line spectra of this voltage waveform showing the first 4 Fourier
components.
v(t)
A
of
-A
-1
1
Figure Q4
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