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Lecture 12: RLC Circuits – Part Deux Nilsson & Riedel 8.3-8.4 ENG17 (Sec. 2): Circuits I Spring 2014 1 May 6, 2014

Lecture 12: RLC Circuits – Part Deux Nilsson & Riedel 8.3-8.4 ENG17 (Sec. 2): Circuits I Spring 2014 1 May 6, 2014

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Page 1: Lecture 12: RLC Circuits – Part Deux Nilsson & Riedel 8.3-8.4 ENG17 (Sec. 2): Circuits I Spring 2014 1 May 6, 2014

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Lecture 12:RLC Circuits – Part DeuxNilsson & Riedel 8.3-8.4

ENG17 (Sec. 2): Circuits I

Spring 2014

May 6, 2014

Page 2: Lecture 12: RLC Circuits – Part Deux Nilsson & Riedel 8.3-8.4 ENG17 (Sec. 2): Circuits I Spring 2014 1 May 6, 2014

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Overview

• Natural Response – Critically Damped

• Step Response in Parallel RLC

• Series RLC

Page 3: Lecture 12: RLC Circuits – Part Deux Nilsson & Riedel 8.3-8.4 ENG17 (Sec. 2): Circuits I Spring 2014 1 May 6, 2014

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Critically Damped

Page 4: Lecture 12: RLC Circuits – Part Deux Nilsson & Riedel 8.3-8.4 ENG17 (Sec. 2): Circuits I Spring 2014 1 May 6, 2014

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Recap

Overdamped Underdamped Critically Damped

Page 5: Lecture 12: RLC Circuits – Part Deux Nilsson & Riedel 8.3-8.4 ENG17 (Sec. 2): Circuits I Spring 2014 1 May 6, 2014

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Overview

• Natural Response – Critically Damped

• Step Response in Parallel RLC

• Series RLC

Page 6: Lecture 12: RLC Circuits – Part Deux Nilsson & Riedel 8.3-8.4 ENG17 (Sec. 2): Circuits I Spring 2014 1 May 6, 2014

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Step Response

Page 7: Lecture 12: RLC Circuits – Part Deux Nilsson & Riedel 8.3-8.4 ENG17 (Sec. 2): Circuits I Spring 2014 1 May 6, 2014

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ExampleInitial Energy = 0 JAt t = 0:• OPEN switch• I = 24 mA• R = 400 Ω

Page 8: Lecture 12: RLC Circuits – Part Deux Nilsson & Riedel 8.3-8.4 ENG17 (Sec. 2): Circuits I Spring 2014 1 May 6, 2014

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Overview

• Natural Response – Critically Damped

• Step Response in Parallel RLC

• Series RLC

Page 9: Lecture 12: RLC Circuits – Part Deux Nilsson & Riedel 8.3-8.4 ENG17 (Sec. 2): Circuits I Spring 2014 1 May 6, 2014

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Series RLC: Natural Response

Page 10: Lecture 12: RLC Circuits – Part Deux Nilsson & Riedel 8.3-8.4 ENG17 (Sec. 2): Circuits I Spring 2014 1 May 6, 2014

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Example: Natural Response

Page 11: Lecture 12: RLC Circuits – Part Deux Nilsson & Riedel 8.3-8.4 ENG17 (Sec. 2): Circuits I Spring 2014 1 May 6, 2014

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Series RLC: Step Response

Page 12: Lecture 12: RLC Circuits – Part Deux Nilsson & Riedel 8.3-8.4 ENG17 (Sec. 2): Circuits I Spring 2014 1 May 6, 2014

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Example: Step Response

Page 13: Lecture 12: RLC Circuits – Part Deux Nilsson & Riedel 8.3-8.4 ENG17 (Sec. 2): Circuits I Spring 2014 1 May 6, 2014

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Note

Page 14: Lecture 12: RLC Circuits – Part Deux Nilsson & Riedel 8.3-8.4 ENG17 (Sec. 2): Circuits I Spring 2014 1 May 6, 2014

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Overview

• Natural Response – Critically Damped

• Step Response in Parallel RLC

• Series RLC