Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed.

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Presentation transcript:

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

Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure An automobile airbag ignition device.

Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure Electrical system.

Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure Marconi with the receiving apparatus used at Signal Hill, Courtesy of the IEEE Center for the History of Electrical Engineering.

Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure An RLC circuit with a current source.

Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure An RLC series circuit.

Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure Circuit with two inductors

Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure Circuit for Example

Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure The RLC circuit for Example

Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure E 9.3-1

Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure E 9.3-2

Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure E 9.3-3

Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure Oliver Heaviside (1850–1925). Photograph courtesy of the Institution of Electrical Engineers.

Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure Circuit of Example

Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure E 9.4-1

Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure E 9.4-2

Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure Parallel RLC circuit.

Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure Response of the RLC circuit of Example

Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure E Smoke detector.

Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure Critically damped response of the parallel RLC circuit.

Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure Natural response of the underdamped parallel RLC circuit.

Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure Circuit for Examples and

Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure Parallel RLC circuit in steady state for a constant input.

Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure Circuit of example

Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure Circuit of Example at t  0 .

Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure E 9.9-1

Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure E 9.9-2

Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure Circuit 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 Figure Circuit of Example

Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure Circuit with three 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 Figure E

Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure The complete s-plane showing the location of the two roots, s 1 and s 2, of the characteristic equation in the left-hand portion of the s-plane. The roots are designated by the  symbol.

Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure E

Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure The RLC series circuit.

Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure The PSpice program for the RLC series circuit

Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure The PROBE output for the unforced RLC series circuit.

Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure The RLC circuit of Example redrawn for PSpice for t  0 with a current source input.

Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure The PSpice program for the RLC circuit with an exponential input current waveform.

Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure The response of the RLC circuit to a current source input.

Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure An RLC circuit (b) excited by a square wave (a).

Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure PSpice plot of the inductor current, i(t), for the circuit shown in Figure

Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure An automobile airbag ignition device.

Chapter 9: The Complete Response of Circuits with Two Energy Storage Elements ©2001, John Wiley & Sons, Inc. Introduction To Electric Circuits, 5th Ed Figure The response of the RLC circuit.