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CHAPTER 3
INDUCTANCE AND CAPACITANCE
Electrical Engineering: Principles and Applications, 6e
Allan R. Hambley
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Figure 3.1
A parallel-plate capacitor consists of two conductive plates separated by a dielectric layer.
Electrical Engineering: Principles and Applications, 6e
Allan R. Hambley
Copyright ©2014 by Pearson Education, Inc.
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Figure 3.2
A capacitor and its fluid-flow analogy.
Electrical Engineering: Principles and Applications, 6e
Allan R. Hambley
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Figure 3.3
The circuit symbol for capacitance, including references for the current i(t) and voltage v(t).
Electrical Engineering: Principles and Applications, 6e
Allan R. Hambley
Copyright ©2014 by Pearson Education, Inc.
All rights reserved.
=
=
() =
() =
() =
() + ( )
() + ( )
=
()
() =
()
=
Electrical Engineering: Principles and Applications, Fifth Edition
Electrical Engineering: Principles and Applications, 6e
Allan R. Hambley
Allan R. Hambley
=
()
Copyright ©2011, ©2008, ©2005 by Pearson Education, Inc.
Upper
Saddle River,
Copyright ©2014 by Pearson
Education,
Inc. New Jersey 07458
All rights reserved. All rights reserved.
Figure 3.4
Circuit and waveforms for Example 3.1.
Electrical Engineering: Principles and Applications, 6e
Allan R. Hambley
Copyright ©2014 by Pearson Education, Inc.
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Figure 3.5
Waveforms for Example 3.2.
Electrical Engineering: Principles and Applications, 6e
Allan R. Hambley
Copyright ©2014 by Pearson Education, Inc.
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Figure 3.6
Waveforms for Example 3.3.
Electrical Engineering: Principles and Applications, 6e
Allan R. Hambley
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Figure 3.7
Square-wave current for Exercise 3.2.
Electrical Engineering: Principles and Applications, 6e
Allan R. Hambley
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Figure 3.8
Answers for Exercise 3.2.
Electrical Engineering: Principles and Applications, 6e
Allan R. Hambley
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Figure 3.9
Three capacitances in parallel.
Electrical Engineering: Principles and Applications, 6e
Allan R. Hambley
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Figure 3.10
Three capacitances in series.
Electrical Engineering: Principles and Applications, 6e
Allan R. Hambley
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Figure 3.11 A parallel-plate capacitor, including dimensions.
=
Electrical Engineering: Principles and Applications, Fifth Edition
Electrical Engineering: Principles and Applications, 6e
Allan R. Hambley
Allan R. Hambley
ϵ
Copyright ©2011, ©2008, ©2005 by Pearson Education, Inc.
Upper
Saddle River,
Copyright ©2014 by Pearson
Education,
Inc. New Jersey 07458
All rights reserved. All rights reserved.
Table 3.1
Materials
Relative Dielectric Constants for Selected
Electrical Engineering: Principles and Applications, 6e
Allan R. Hambley
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Figure 3.12 Practical capacitors can be constructed by interleaving the plates with two dielectric layers and
rolling them up. By staggering the plates, connection can be made to one plate at each end of the roll.
Electrical Engineering: Principles and Applications, 6e
Allan R. Hambley
Copyright ©2014 by Pearson Education, Inc.
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Figure 3.13
The circuit model for a capacitor, including the parasitic elements Rs, Ls, and Rp.
Electrical Engineering: Principles and Applications, 6e
Allan R. Hambley
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Figure 3.14
See Example 3.5.
Electrical Engineering: Principles and Applications, 6e
Allan R. Hambley
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Figure 3.15
An inductor is constructed by coiling a wire around some type of form.
Electrical Engineering: Principles and Applications, 6e
Allan R. Hambley
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Figure 3.16
Circuit symbol and the
v − i relationship for inductance.
Electrical Engineering: Principles and Applications, 6e
Allan R. Hambley
Copyright ©2014 by Pearson Education, Inc.
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()
=
()
=
()
=
()
=
() + ( )
()
()= ()
()
Electrical Engineering: Principles and Applications, Fifth Edition
Electrical Engineering: Principles and Applications, 6e
Allan R. Hambley
Allan R. Hambley
=
()
Copyright ©2011, ©2008, ©2005 by Pearson Education, Inc.
Upper
Saddle River,
Copyright ©2014 by Pearson
Education,
Inc. New Jersey 07458
All rights reserved. All rights reserved.
Figure 3.17
Waveforms for Example 3.6.
Electrical Engineering: Principles and Applications, 6e
Allan R. Hambley
Copyright ©2014 by Pearson Education, Inc.
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Figure 3.18
Circuit and waveforms for Example 3.7.
Electrical Engineering: Principles and Applications, 6e
Allan R. Hambley
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Figure 3.19
See Exercise 3.7.
Electrical Engineering: Principles and Applications, 6e
Allan R. Hambley
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Figure 3.20
Inductances in series and parallel are combined in the same manner as resistances.
Electrical Engineering: Principles and Applications, 6e
Allan R. Hambley
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Figure 3.21
See Exercise 3.10.
Electrical Engineering: Principles and Applications, 6e
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Figure PA3.1
Electrical Engineering: Principles and Applications, 6e
Allan R. Hambley
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Figure PA3.2
Electrical Engineering: Principles and Applications, 6e
Allan R. Hambley
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Figure 3.22
Circuit model for real inductors including several parasitic elements.
Electrical Engineering: Principles and Applications, 6e
Allan R. Hambley
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Figure 3.23
Circuit symbols and
v − i relationships for mutually coupled inductances.
Electrical Engineering: Principles and Applications, 6e
Allan R. Hambley
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Figure 3.24
A linear variable differential transformer used as a position transducer.
Electrical Engineering: Principles and Applications, 6e
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Figure 3.25
Circuit of Example 3.8.
Electrical Engineering: Principles and Applications, 6e
Allan R. Hambley
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Figure 3.26
Plot of ix(t) produced by MATLAB.
Electrical Engineering: Principles and Applications, 6e
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Figure 3.27
Plots of the voltages for Example 3.8.
Electrical Engineering: Principles and Applications, 6e
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Figure P3.14
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Figure P3.15
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Figure P3.16
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Figure P3.24
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Figure P3.26
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Figure P3.28
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Figure P3.36
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Figure P3.38
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Figure P3.40
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Figure P3.43
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Figure P3.45
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Figure P3.51
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Figure P3.60
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Figure P3.61
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Figure P3.63
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Figure P3.67
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Figure P3.69
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Figure P3.70
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Figure P3.72
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Figure P3.73
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Figure T3.2
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Figure T3.5
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Figure T3.6
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