Q1. (a) Show an opamp circuit that can perform 1st order derivative of a time function, f(t). f' df (t) dt Specify the resistor and capacitor values so that the coefficient of the 1st order derivative is 1. (Note: Polarity of the implemented function is not important)
Q1. (a) Show an opamp circuit that can perform 1st order derivative of a time function, f(t). f' df (t) dt Specify the resistor and capacitor values so that the coefficient of the 1st order derivative is 1. (Note: Polarity of the implemented function is not important)
Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Question
![Q1.
(a) Show an opamp circuit that can perform 1st order derivative of a time function, f(t).
df (t)
dt
Specify the resistor and capacitor values so that the coefficient of the 1st order
derivative is 1. (Note: Polarity of the implemented function is not important)
f' =
(b) The temperature at a place can be described by the following time function, f(t):
f(t) = a3t³ + a₂t² + a₁ +ao,
which exhibits the following characteristic as shown in Fig. Q1:
Temperature (°C)
T₁
T₂
Time (hour)
Fig. Q1
(i) Determine the 1st order derivative of f(t), and estimate T and T₂ in terms of a3, a2,
ai, ao.
(ii) An engine will be turned on between the interval of T, and T₂. Devise a circuit that
will generate an EN signal that will be high during the interval between T₁ and T₂.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe3aa9238-d0bd-456b-acda-df0db22aaea2%2F938b4139-a796-46e6-b520-0a8000d68fc4%2Fd6kd3d_processed.png&w=3840&q=75)
Transcribed Image Text:Q1.
(a) Show an opamp circuit that can perform 1st order derivative of a time function, f(t).
df (t)
dt
Specify the resistor and capacitor values so that the coefficient of the 1st order
derivative is 1. (Note: Polarity of the implemented function is not important)
f' =
(b) The temperature at a place can be described by the following time function, f(t):
f(t) = a3t³ + a₂t² + a₁ +ao,
which exhibits the following characteristic as shown in Fig. Q1:
Temperature (°C)
T₁
T₂
Time (hour)
Fig. Q1
(i) Determine the 1st order derivative of f(t), and estimate T and T₂ in terms of a3, a2,
ai, ao.
(ii) An engine will be turned on between the interval of T, and T₂. Devise a circuit that
will generate an EN signal that will be high during the interval between T₁ and T₂.
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