Solutions Manual
Engineering Circuit Analysis, 10th Edition
By William H. Hayt
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, Table of Content
Chapter 1: Introduction
Chapter 2: Basic Components and Electric Circuits
Chapter 3: Voltage and Current Laws
Chapter 4: Basic Nodal and Mesh Analysis
Chapter 5: Handy Circuit Analysis Techniques
Chapter 6: The Operational Amplifier
Chapter 7: Capacitors and Inductors
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Chapter 8: Basic RC and RL Circuits
Chapter 9: The RLC Circuit
Chapter 10: Sinusoidal Steady-State Analysis
Chapter 11: AC Circuit Power Analysis
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Chapter 12: Polyphase Circuits
Chapter 13: Magnetically Coupled Circuits
Chapter 14: Circuit Analysis in the s-Domain
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Chapter 15: Frequency Response
Chapter 16: Two-Port Networks
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Chapter 17: Fourier Circuit Analysis
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,Engineering Circuit Analysis 10th Edition Chapter One Exercise Solutions
3 3 sin
1. We need to solve 100 1 which is a transcendental equation. Let’s solve it
3 sin
graphically. This can be done on a graphing calculator, plotting points by hand (with a
little iteration), or using MATLAB script similar to
q linspace(0, 0.5 *pi/ 2,1000);
rel_err 100 *abs(3 *q-3 *sin(q))./sin(q)/ 3;
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plot(q,rel_err,'r.')
Expanding the plot and looking for a point close to 1%, we find a value of q 0.245 radians
is about the limit for the linear approximation if 1% or better accuracy is required.
TO
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G
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, Engineering Circuit Analysis 10th Edition Chapter One Exercise Solutions
2. We start by expressing the relative error for the first function in the form
1 x
1
100 1 x 1
1
1 x
Which can be simplified to
1 x 1 x 1 0.01
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1
or x 2 0.01 which has solutions x 0.1.
TO
R
G
U
R
U
Engineering Circuit Analysis, 10th Edition
By William H. Hayt
TU
TO
R
G
U
R
U
, Table of Content
Chapter 1: Introduction
Chapter 2: Basic Components and Electric Circuits
Chapter 3: Voltage and Current Laws
Chapter 4: Basic Nodal and Mesh Analysis
Chapter 5: Handy Circuit Analysis Techniques
Chapter 6: The Operational Amplifier
Chapter 7: Capacitors and Inductors
TU
Chapter 8: Basic RC and RL Circuits
Chapter 9: The RLC Circuit
Chapter 10: Sinusoidal Steady-State Analysis
Chapter 11: AC Circuit Power Analysis
TO
Chapter 12: Polyphase Circuits
Chapter 13: Magnetically Coupled Circuits
Chapter 14: Circuit Analysis in the s-Domain
R
Chapter 15: Frequency Response
Chapter 16: Two-Port Networks
G
Chapter 17: Fourier Circuit Analysis
U
R
U
,Engineering Circuit Analysis 10th Edition Chapter One Exercise Solutions
3 3 sin
1. We need to solve 100 1 which is a transcendental equation. Let’s solve it
3 sin
graphically. This can be done on a graphing calculator, plotting points by hand (with a
little iteration), or using MATLAB script similar to
q linspace(0, 0.5 *pi/ 2,1000);
rel_err 100 *abs(3 *q-3 *sin(q))./sin(q)/ 3;
TU
plot(q,rel_err,'r.')
Expanding the plot and looking for a point close to 1%, we find a value of q 0.245 radians
is about the limit for the linear approximation if 1% or better accuracy is required.
TO
R
G
U
R
U
, Engineering Circuit Analysis 10th Edition Chapter One Exercise Solutions
2. We start by expressing the relative error for the first function in the form
1 x
1
100 1 x 1
1
1 x
Which can be simplified to
1 x 1 x 1 0.01
TU
1
or x 2 0.01 which has solutions x 0.1.
TO
R
G
U
R
U
