19. (a) An exhaust fan is to be installed in the ECSE Power Electronics lab to better understand the role of mechanical ventilation in preventing airborne virus transmission. The fan requires a sinusoidal voltage s(t), as shown in Fig. 19(a), to operate. However, an AC supply is not readily available and so a rectangular pulse wave p(t), also shown in Fig. 19(a), is generated from a DC supply to approximate the desired sinusoidal signal for the fan. (ii) 12 V -- OV -s(t) DEA! p(t) 4 5 Fig. 19(a): A sinusoidal signal and a pulse signal. 1 2 3 6 7 8 →t (ms) Determine the equation describing the sinusoidal signal s(t) in Fig. 19(a) and express it in the form s(t) = A cos(Bt+C) + D V for some non-negative constants A, B, C, and D. Determine the RMS value of the pulse signal p(t) in Fig. 19(a).
19. (a) An exhaust fan is to be installed in the ECSE Power Electronics lab to better understand the role of mechanical ventilation in preventing airborne virus transmission. The fan requires a sinusoidal voltage s(t), as shown in Fig. 19(a), to operate. However, an AC supply is not readily available and so a rectangular pulse wave p(t), also shown in Fig. 19(a), is generated from a DC supply to approximate the desired sinusoidal signal for the fan. (ii) 12 V -- OV -s(t) DEA! p(t) 4 5 Fig. 19(a): A sinusoidal signal and a pulse signal. 1 2 3 6 7 8 →t (ms) Determine the equation describing the sinusoidal signal s(t) in Fig. 19(a) and express it in the form s(t) = A cos(Bt+C) + D V for some non-negative constants A, B, C, and D. Determine the RMS value of the pulse signal p(t) in Fig. 19(a).
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Question
answer both parts with working
![19. (a) An exhaust fan is to be installed in the ECSE Power Electronics lab to better
understand the role of mechanical ventilation in preventing airborne virus transmission.
The fan requires a sinusoidal voltage s(t), as shown in Fig. 19(a), to operate. However,
an AC supply is not readily available and so a rectangular pulse wave p(t), also shown
in Fig. 19(a), is generated from a DC supply to approximate the desired sinusoidal
signal for the fan.
(ii)
12 V-
OV
1
2
3
-s(t)
p(t)
4
5
6
7
8
Fig. 19(a): A sinusoidal signal and a pulse signal.
Determine the equation describing the sinusoidal signal s(t) in Fig. 19(a) and
express it in the form
s(t) = A cos(Bt+C) + D V
t (ms)
for some non-negative constants A, B, C, and D.
Determine the RMS value of the pulse signal p(t) in Fig. 19(a).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9c25439e-43d7-4b82-a3d3-6268b75fa642%2Fc2807fea-2e90-46fd-bece-e2c15710e434%2Fibyivwd_processed.png&w=3840&q=75)
Transcribed Image Text:19. (a) An exhaust fan is to be installed in the ECSE Power Electronics lab to better
understand the role of mechanical ventilation in preventing airborne virus transmission.
The fan requires a sinusoidal voltage s(t), as shown in Fig. 19(a), to operate. However,
an AC supply is not readily available and so a rectangular pulse wave p(t), also shown
in Fig. 19(a), is generated from a DC supply to approximate the desired sinusoidal
signal for the fan.
(ii)
12 V-
OV
1
2
3
-s(t)
p(t)
4
5
6
7
8
Fig. 19(a): A sinusoidal signal and a pulse signal.
Determine the equation describing the sinusoidal signal s(t) in Fig. 19(a) and
express it in the form
s(t) = A cos(Bt+C) + D V
t (ms)
for some non-negative constants A, B, C, and D.
Determine the RMS value of the pulse signal p(t) in Fig. 19(a).
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