Homework Help is Here – Start Your Trial Now!
Engineering
Electrical Engineering
A design objective in many control system applications is to achieve small time constants. An exception is the time constant requirements for a piezoelectric sensor. Explain why a large time constant, in the order of 1.0 s, is desirable for a piezoelectric sensor in combination with its signal conditioning system. An equivalent circuit for a piezoelectric accelerometer, which uses a quartz crystal as the sensing element, is shown in the following figure. The generated charge is denoted by q and the output voltage at the end of the accelerometer cable is Vo. The piezoelectric sensor capacitance is modeled by C, and the overall capacitance experienced at the sensor output, whose primary contribution is due to cable capacitance, is denoted by Ce. The resistance of the electric insulation in the accelerometer is denoted by R. Write a differential equation relating vo to q. What is the corresponding transfer function? Using this result, show that the accuracy of the accelerometer improves when the sensor time constant is large and when the frequency of the measured acceleration is high. For a quartz crystal sensor with R=10" n and C, = 300 pF, and a circuit with C = 700 pF, compute the time constant. Output Piezoelectric Insulation Cable sensor

A design objective in many control system applications is to achieve small time constants. An exception is the time constant requirements for a piezoelectric sensor. Explain why a large time constant, in the order of 1.0 s, is desirable for a piezoelectric sensor in combination with its signal conditioning system. An equivalent circuit for a piezoelectric accelerometer, which uses a quartz crystal as the sensing element, is shown in the following figure. The generated charge is denoted by q and the output voltage at the end of the accelerometer cable is Vo. The piezoelectric sensor capacitance is modeled by C, and the overall capacitance experienced at the sensor output, whose primary contribution is due to cable capacitance, is denoted by Ce. The resistance of the electric insulation in the accelerometer is denoted by R. Write a differential equation relating vo to q. What is the corresponding transfer function? Using this result, show that the accuracy of the accelerometer improves when the sensor time constant is large and when the frequency of the measured acceleration is high. For a quartz crystal sensor with R=10" n and C, = 300 pF, and a circuit with C = 700 pF, compute the time constant. Output Piezoelectric Insulation Cable sensor

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
See similar textbooks
icon
Related questions
Question
A design objective in many control system applications is to achieve small time constants. An exception is the time constant requirements for a piezoelectric sensor. Explain why a large time constant, in the order of 1.0 s, is desirable for a piezoelectric sensor in combination with its signal conditioning system. An equivalent circuit for a piezoelectric accelerometer, which uses a quartz crystal as the sensing element, is shown in the following figure. The generated charge is denoted by q and the output voltage at the end of the accelerometer cable is vo. The piezoelectric sensor capacitance is modeled by C, and the overall capacitance experienced at the sensor output, whose primary contribution is due to cable capacitance, is denoted by Cc. The resistance of the electric insulation in the accelerometer is denoted by R. Write a differential equation relating v, to q. What is the corresponding transfer function? Using this result, show that the accuracy of the accelerometer improves when the sensor time constant is large and when the frequency of the measured acceleration is high. For a quartz crystal sensor with R=10" n and C, = 300 pF, and a circuit with Cc = 700 pF, compute the time constant. Output Cp R Vo Piezoelectric Insulation Cable sensor
Transcribed Image Text:A design objective in many control system applications is to achieve small time constants. An exception is the time constant requirements for a piezoelectric sensor. Explain why a large time constant, in the order of 1.0 s, is desirable for a piezoelectric sensor in combination with its signal conditioning system. An equivalent circuit for a piezoelectric accelerometer, which uses a quartz crystal as the sensing element, is shown in the following figure. The generated charge is denoted by q and the output voltage at the end of the accelerometer cable is vo. The piezoelectric sensor capacitance is modeled by C, and the overall capacitance experienced at the sensor output, whose primary contribution is due to cable capacitance, is denoted by Cc. The resistance of the electric insulation in the accelerometer is denoted by R. Write a differential equation relating v, to q. What is the corresponding transfer function? Using this result, show that the accuracy of the accelerometer improves when the sensor time constant is large and when the frequency of the measured acceleration is high. For a quartz crystal sensor with R=10" n and C, = 300 pF, and a circuit with Cc = 700 pF, compute the time constant. Output Cp R Vo Piezoelectric Insulation Cable sensor
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Nyquist Plot
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,
SEE MORE TEXTBOOKS