3.15 The current waveform for a half-wave rectifier with a capacitor filter looks something like the following: Current i 10 T/2 T time FIGURE P3.15 Since this is a periodic function, it can be represented by a Fourier series: do 00 i (t) = (220) + Σa, cos (not) + Σbm sin (moot) n=1 an m=1 Which of the following assertions are true and which are false? a. The value of ao is zero. b. There are no sine terms in the series. c. There are no cosine terms in the series. d. There are no even harmonics in the series.

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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3.15 The current waveform for a half-wave rectifier with a capacitor filter looks
something like the following:
Current i
10
T/2
T
time
FIGURE P3.15
Since this is a periodic function, it can be represented by a Fourier
series:
do
00
i (t) = (220) + Σa, cos (not) + Σbm sin (moot)
n=1
an
m=1
Which of the following assertions are true and which are false?
a. The value of ao is zero.
b. There are no sine terms in the series.
c. There are no cosine terms in the series.
d. There are no even harmonics in the series.
Transcribed Image Text:3.15 The current waveform for a half-wave rectifier with a capacitor filter looks something like the following: Current i 10 T/2 T time FIGURE P3.15 Since this is a periodic function, it can be represented by a Fourier series: do 00 i (t) = (220) + Σa, cos (not) + Σbm sin (moot) n=1 an m=1 Which of the following assertions are true and which are false? a. The value of ao is zero. b. There are no sine terms in the series. c. There are no cosine terms in the series. d. There are no even harmonics in the series.
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