Notes
Slide Show
Outline
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Alexander-Sadiku
Fundamentals of Electric Circuits
  • Chapter 8
  •   Second-Order Circuits
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Second-Order Circuits
Chapter 8
  • 8.1 Examples of 2nd order RCL circuit
  • 8.2 The source-free series RLC circuit
  • 8.3 The source-free parallel RLC circuit
  • 8.4 Step response of a series RLC circuit
  • 8.5 Step response of a parallel RLC
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8.1 Examples of Second
Order RLC circuits (1)
  • What is a 2nd order circuit?
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8.2 Source-Free Series
RLC Circuits (1)
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8.2 Source-Free Series
 RLC Circuits (2)

  • Method will be illustrated
  • during the lecture
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8.2 Source-Free Series
RLC Circuits (3)
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8.2 Source-Free Series
RLC Circuits (5)
  • Example 1
  •    If R = 10 Ω, L = 5 H, and   C = 2 mF in 8.8, find α, ω0, s1 and s2.


  •   What type of natural response will the circuit have?
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8.2 Source-Free Series
RLC Circuits (6)
  • Example 2
  •   The circuit shown below has reached steady state at t = 0-.


  •   If the make-before-break switch moves to position b at t = 0, calculate i(t) for  t > 0.
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8.3 Source-Free Parallel
RLC Circuits (1)
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8.3 Source-Free Parallel
RLC Circuits (2)
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8.3 Source-Free Parallel
RLC Circuits (3)
  • Example 3
  •  Refer to the circuit shown below.                   Find v(t) for t > 0.
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8.4 Step-Response Series
RLC Circuits (1)
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8.4 Step-Response Series
RLC Circuits (2)
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8.4 Step-Response Series
RLC Circuits (3)
  • Example 4
  •   Having been in position for a long time, the switch in the circuit below is moved to position b at t = 0. Find v(t) and vR(t) for t > 0.
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8.5 Step-Response Parallel
RLC Circuits (1)
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8.5 Step-Response Parallel
RLC Circuits (2)
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8.5 Step-Response Parallel
RLC Circuits (3)
  • Example 5
  •    Find i(t) and v(t) for t > 0 in the circuit shown in circuit shown below: