G(s) : %3D WileyPLUS (s+4)(s+ 8) WPCS

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Find the step response instead of ramp response and graph the step response 

Skill-Assessment Exercise 2.5
PROBLEM: Find the ramp response for a system whose transfer function is
G(s) =
(s+4)(s+ 8)
wileyPLUS
1.
ANSWER: c(t)
1
1
4r
e
16
WPCS
32
32
Control Solutions
The complete solution is at www.wiley.com/college/nise.
In general, a physical system that can be represented by a linear, time-invariant
differentialequation can be modeled as a transfer function. The rest of this chapter will
be devoted tothe task of modeling individualsubsystems. We will learn how torepresent
electrical networks, translational mechanical systems, rotational mechanical systems,
and electromechanical systems as transfer functions. As the need arises, the reader can
consult the Bibliography at the end of the chapter for discussions of other types of
systems, such as pneumatic, hydraulic, and heat-transfer systems (Cannon, 1967).
2.4
Electrical Network Transfer Functions
In this section, we formally apply the transfer function to the mathematical modeling
of electric circuits including passive networks and operational amplifier circuits
Subsequent sections cover mechanical and electromechanical systems.
Equivalent circuits for the electric networks that we work with first consist of
three passive linear components: resistors, capacitors, and inductors. Table 2.3
summarizes the components and the relationships between voltage and current and
between voltage and charge under zero initial conditions.
2.
We now combine electrical components into cireuits decide on the innut and
End
Transcribed Image Text:Skill-Assessment Exercise 2.5 PROBLEM: Find the ramp response for a system whose transfer function is G(s) = (s+4)(s+ 8) wileyPLUS 1. ANSWER: c(t) 1 1 4r e 16 WPCS 32 32 Control Solutions The complete solution is at www.wiley.com/college/nise. In general, a physical system that can be represented by a linear, time-invariant differentialequation can be modeled as a transfer function. The rest of this chapter will be devoted tothe task of modeling individualsubsystems. We will learn how torepresent electrical networks, translational mechanical systems, rotational mechanical systems, and electromechanical systems as transfer functions. As the need arises, the reader can consult the Bibliography at the end of the chapter for discussions of other types of systems, such as pneumatic, hydraulic, and heat-transfer systems (Cannon, 1967). 2.4 Electrical Network Transfer Functions In this section, we formally apply the transfer function to the mathematical modeling of electric circuits including passive networks and operational amplifier circuits Subsequent sections cover mechanical and electromechanical systems. Equivalent circuits for the electric networks that we work with first consist of three passive linear components: resistors, capacitors, and inductors. Table 2.3 summarizes the components and the relationships between voltage and current and between voltage and charge under zero initial conditions. 2. We now combine electrical components into cireuits decide on the innut and End
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