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CHAPTER 5 RC AND RL FIRST-ORDER CIRCUITS (PART 2)
All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press CIRCUITS by Ulaby & Maharbiz
07/28/2015 ECE225 CIRCUIT ANALYSIS
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© 2013 National Technology and Science Press
All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press
Response Terminology
Natural response – response in absence of sources
Forced response – response due to external source
Complete response = Natural + Forced
Transient response – time-varying response (temporary)
Steady state response – time-independent or periodic (permanent)
Complete response = Transient + Steady State
Source dependence
Time dependence
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Natural Response of Charged Capacitor
(a) t = 0− is the instant just before the switch is moved from terminal 1 to terminal 2
(b) t = 0 is the instant just after it was moved; t = 0 is synonymous with t = 0+
since the voltage across the capacitor cannot change instantaneously, it follows that
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Solution of First-Order Diff. Equations
τ is called the time constant of the circuit.
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Natural Response of Charged CapacitorAll rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press
General Response of RC CircuitAll rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press
Solution of All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press
Example 5-10: Determine Capacitor Voltage
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Example 5-10 Solution
At t = 0
At t > 0
(a) Switch was moved at t = 0
(b) Switch was moved at t = 3 s
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Example 5-11: Charge/Discharge ActionAll rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press
Example 5-11 (cont.)All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press
Example 5-12: Rectangular Pulse All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press
Natural Response of the RL CircuitAll rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press
General Response of the RL CircuitAll rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press
Example 5-13: Two RL Branches
At t=0-
Cont.
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Example 5-13: Two RL Branches (cont.)
After t=0:
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Press
SummaryAll rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press