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Problem 04.005.a - Finding order and coefficients of a system from a block diagram. For the given system, what is the value of Nand what are the a coefficients, starting with an and going down to ao? The value of A for the given system is 4. -3 x(t)· -2 - y(t) The value of N for the above system is The value of the coefficient az is , az is a1 is , and ao is

Problem 04.005.a - Finding order and coefficients of a system from a block diagram. For the given system, what is the value of Nand what are the a coefficients, starting with an and going down to ao? The value of A for the given system is 4. -3 x(t)· -2 - y(t) The value of N for the above system is The value of the coefficient az is , az is a1 is , and ao is

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...
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**Problem 04.005:** The system represented by the block diagram can be described by a differential equation of the form: \[ a_N \frac{d^N}{dt^N} \left( y(t) \right) + a_{N-1} \frac{d^{N-1}}{dt^{N-1}} \left( y(t) \right) + \cdots + a_2 \frac{d^2}{dt^2} \left( y(t) \right) + a_1 \frac{d}{dt} \left( y(t) \right) + a_0 y(t) = x(t) \] --- **Problem 04.005.a - Finding order and coefficients of a system from a block diagram:** For the given system, what is the value of \(N\) and what are the \(a\) coefficients, starting with \(a_N\) and going down to \(a_0\)? The value of \(A\) for the given system is 4. **Block Diagram Explanation:** The diagram includes integrators and summation points: - The input \(x(t)\) enters a summation point, which subtracts three paths: one going through an integrator to multiply by \(A\), another through an integrator with a coefficient of 7, and a third through an integrator with a coefficient of \(-2\). - The output \(y(t)\) is affected by these integrative paths. - Coefficients of the integrators are labeled as \(-3\), \(A\), \(7\), and \(-2\). --- **Fill in the blanks:** The value of \(N\) for the above system is ________. The value of the coefficient \(a_3\) is ________, \(a_2\) is ________, \(a_1\) is ________, and \(a_0\) is ________.
Transcribed Image Text:**Problem 04.005:** The system represented by the block diagram can be described by a differential equation of the form: \[ a_N \frac{d^N}{dt^N} \left( y(t) \right) + a_{N-1} \frac{d^{N-1}}{dt^{N-1}} \left( y(t) \right) + \cdots + a_2 \frac{d^2}{dt^2} \left( y(t) \right) + a_1 \frac{d}{dt} \left( y(t) \right) + a_0 y(t) = x(t) \] --- **Problem 04.005.a - Finding order and coefficients of a system from a block diagram:** For the given system, what is the value of \(N\) and what are the \(a\) coefficients, starting with \(a_N\) and going down to \(a_0\)? The value of \(A\) for the given system is 4. **Block Diagram Explanation:** The diagram includes integrators and summation points: - The input \(x(t)\) enters a summation point, which subtracts three paths: one going through an integrator to multiply by \(A\), another through an integrator with a coefficient of 7, and a third through an integrator with a coefficient of \(-2\). - The output \(y(t)\) is affected by these integrative paths. - Coefficients of the integrators are labeled as \(-3\), \(A\), \(7\), and \(-2\). --- **Fill in the blanks:** The value of \(N\) for the above system is ________. The value of the coefficient \(a_3\) is ________, \(a_2\) is ________, \(a_1\) is ________, and \(a_0\) is ________.
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