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Lecture 10: RL & RC Circuits Nilsson & Riedel 7.1-7.6

Lecture 10: RL & RC Circuits Nilsson & Riedel 7.1-7.6. ENG17 (Sec. 2): Circuits I Spring 2014. May 1, 2014. Recap – Inductors / Capacitors. Overview. Natural Response RL Circuits RC Circuits Step Response RL Circuits RC Circuits General Solution Sequential Switching

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Lecture 10: RL & RC Circuits Nilsson & Riedel 7.1-7.6

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  1. Lecture 10:RL & RC CircuitsNilsson & Riedel 7.1-7.6 ENG17 (Sec. 2): Circuits I Spring 2014 May 1, 2014

  2. Recap – Inductors / Capacitors

  3. Overview • Natural Response • RL Circuits • RC Circuits • Step Response • RL Circuits • RC Circuits • General Solution • Sequential Switching • Unbounded Response

  4. Natural Response Currents and voltages that arise from an inductor or capacitor immediately after being disconnected from a DC (direct current) source.

  5. Current in RL Circuit After Open Switch

  6. Time Constant

  7. RL Circuit Example

  8. Voltage in RC Circuit After Switching

  9. RC Circuit Example

  10. Overview • Natural Response • RL Circuits • RC Circuits • Step Response • RL Circuits • RC Circuits • General Solution • Sequential Switching • Unbounded Response

  11. Step Response Currents and voltages that arise when energy is being acquired by an inductor or capacitor due to the sudden application of a dc voltage or current source.

  12. Step Response in RL Circuit

  13. Step Response in RC Circuit

  14. Overview • Natural Response • RL Circuits • RC Circuits • Step Response • RL Circuits • RC Circuits • General Solution • Sequential Switching • Unbounded Response

  15. Generalized Solution

  16. Overview • Natural Response • RL Circuits • RC Circuits • Step Response • RL Circuits • RC Circuits • General Solution • Sequential Switching • Unbounded Response

  17. Sequential Switching Defined: whenever switching occurs more than once in a circuit

  18. Overview • Natural Response • RL Circuits • RC Circuits • Step Response • RL Circuits • RC Circuits • General Solution • Sequential Switching • Unbounded Response

  19. Unbounded Response Defined: A circuit response that grows, rather than decays, exponentially with time. • Possible with dependent sources

  20. Recap • Natural Response • RL Circuits • RC Circuits • Step Response • RL Circuits • RC Circuits • General Solution • Sequential Switching • Unbounded Response

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