Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements
Chapter 9
The Complete Response of
Circuits with Two Energy Storage
Elements
©2001, John Wiley & Sons, Inc.
Introduction To Electric Circuits, 5th Ed
Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements
Figure 9.1-1
An automobile airbag ignition device.
©2001, John Wiley & Sons, Inc.
Introduction To Electric Circuits, 5th Ed
Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements
Figure 9.2-1
Electrical system.
©2001, John Wiley & Sons, Inc.
Introduction To Electric Circuits, 5th Ed
Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements
Figure 9.2-2
Marconi with the receiving apparatus used at Signal Hill,
1901. Courtesy of the IEEE Center for the History of
Electrical Engineering.
©2001, John Wiley & Sons, Inc.
Introduction To Electric Circuits, 5th Ed
Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements
Figure 9.3-1
An RLC circuit with a current source.
©2001, John Wiley & Sons, Inc.
Introduction To Electric Circuits, 5th Ed
Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements
Figure 9.3-2
An RLC series circuit.
©2001, John Wiley & Sons, Inc.
Introduction To Electric Circuits, 5th Ed
Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements
Figure 9.3-3
Circuit with two inductors
©2001, John Wiley & Sons, Inc.
Introduction To Electric Circuits, 5th Ed
Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements
Figure 9.3-4
Circuit for Example 9.3-1.
©2001, John Wiley & Sons, Inc.
Introduction To Electric Circuits, 5th Ed
Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements
Figure 9.3-5
The RLC circuit for Example 9.3-2.
©2001, John Wiley & Sons, Inc.
Introduction To Electric Circuits, 5th Ed
Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements
Figure E 9.3-1
©2001, John Wiley & Sons, Inc.
Introduction To Electric Circuits, 5th Ed
Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements
Figure E 9.3-2
©2001, John Wiley & Sons, Inc.
Introduction To Electric Circuits, 5th Ed
Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements
Figure E 9.3-3
©2001, John Wiley & Sons, Inc.
Introduction To Electric Circuits, 5th Ed
Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements
Figure 9.4-1
Oliver Heaviside (1850–1925). Photograph
courtesy of the Institution of Electrical Engineers.
©2001, John Wiley & Sons, Inc.
Introduction To Electric Circuits, 5th Ed
Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements
Figure 9.4-2
Circuit of Example 9.4-1.
©2001, John Wiley & Sons, Inc.
Introduction To Electric Circuits, 5th Ed
Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements
Figure E 9.4-1
©2001, John Wiley & Sons, Inc.
Introduction To Electric Circuits, 5th Ed
Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements
Figure E 9.4-2
©2001, John Wiley & Sons, Inc.
Introduction To Electric Circuits, 5th Ed
Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements
Figure 9.5-1
Parallel RLC circuit.
©2001, John Wiley & Sons, Inc.
Introduction To Electric Circuits, 5th Ed
Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements
Figure 9.5-2
Response of the RLC circuit of Example
9.5-1.
©2001, John Wiley & Sons, Inc.
Introduction To Electric Circuits, 5th Ed
Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements
Figure E 9.5-2
Smoke detector.
©2001, John Wiley & Sons, Inc.
Introduction To Electric Circuits, 5th Ed
Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements
Figure 9.6-1
Critically damped response of the parallel
RLC circuit.
©2001, John Wiley & Sons, Inc.
Introduction To Electric Circuits, 5th Ed
Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements
Figure 9.7-1
Natural response of the underdamped
parallel RLC circuit.
©2001, John Wiley & Sons, Inc.
Introduction To Electric Circuits, 5th Ed
Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements
Figure 9.8-1
Circuit for Examples 9.8-1 and 9.8-2.
©2001, John Wiley & Sons, Inc.
Introduction To Electric Circuits, 5th Ed
Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements
Figure 9.8-2
Parallel RLC circuit in steady state for a
constant input.
©2001, John Wiley & Sons, Inc.
Introduction To Electric Circuits, 5th Ed
Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements
Figure 9.9-1
Circuit of example 9.9-1.
©2001, John Wiley & Sons, Inc.
Introduction To Electric Circuits, 5th Ed
Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements
Figure 9.9-2
Circuit of Example 9.9-1 at t  0.
©2001, John Wiley & Sons, Inc.
Introduction To Electric Circuits, 5th Ed
Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements
Figure E 9.9-1
©2001, John Wiley & Sons, Inc.
Introduction To Electric Circuits, 5th Ed
Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements
Figure E 9.9-2
©2001, John Wiley & Sons, Inc.
Introduction To Electric Circuits, 5th Ed
Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements
Figure 9.10-1
Circuit with two energy storage elements.
©2001, John Wiley & Sons, Inc.
Introduction To Electric Circuits, 5th Ed
Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements
Figure 9.10-2
Circuit of Example 9.10-1.
©2001, John Wiley & Sons, Inc.
Introduction To Electric Circuits, 5th Ed
Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements
Figure 9.10-3
Circuit with three energy storage
elements.
©2001, John Wiley & Sons, Inc.
Introduction To Electric Circuits, 5th Ed
Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements
Figure E 9.10-1
©2001, John Wiley & Sons, Inc.
Introduction To Electric Circuits, 5th Ed
Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements
Figure 9.11-1
The complete s-plane
showing the location of the
two roots, s1 and s2, of the
characteristic equation in
the left-hand portion of the
s-plane. The roots are
designated by the 
symbol.
©2001, John Wiley & Sons, Inc.
Introduction To Electric Circuits, 5th Ed
Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements
Figure E 9.11-1
©2001, John Wiley & Sons, Inc.
Introduction To Electric Circuits, 5th Ed
Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements
Figure 9.12-1
The RLC series circuit.
©2001, John Wiley & Sons, Inc.
Introduction To Electric Circuits, 5th Ed
Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements
Figure 9.12-2
The PSpice program for the RLC series
circuit
©2001, John Wiley & Sons, Inc.
Introduction To Electric Circuits, 5th Ed
Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements
Figure 9.12-3
The PROBE output for the unforced RLC
series circuit.
©2001, John Wiley & Sons, Inc.
Introduction To Electric Circuits, 5th Ed
Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements
Figure 9.12-4
The RLC circuit of Example 9.10-1 redrawn for
PSpice for t  0 with a current source input.
©2001, John Wiley & Sons, Inc.
Introduction To Electric Circuits, 5th Ed
Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements
Figure 9.12-5
The PSpice program for the RLC circuit with an
exponential input current waveform.
©2001, John Wiley & Sons, Inc.
Introduction To Electric Circuits, 5th Ed
Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements
Figure 9.12-6
The response of the RLC circuit to a
current source input.
©2001, John Wiley & Sons, Inc.
Introduction To Electric Circuits, 5th Ed
Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements
Figure 9.13-1
An RLC circuit (b) excited by a square
wave (a).
©2001, John Wiley & Sons, Inc.
Introduction To Electric Circuits, 5th Ed
Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements
Figure 9.13-2
PSpice plot of the inductor current, i(t), for the
circuit shown in Figure 9.13-1.
©2001, John Wiley & Sons, Inc.
Introduction To Electric Circuits, 5th Ed
Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements
Figure 9.14-1
An automobile airbag ignition device.
©2001, John Wiley & Sons, Inc.
Introduction To Electric Circuits, 5th Ed
Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements
Figure 9.14-2
The response of the RLC circuit.
©2001, John Wiley & Sons, Inc.
Introduction To Electric Circuits, 5th Ed