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

2. Recap – Inductors / Capacitors 2

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

4. Natural Response 4 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 5 After Open Switch

6. Time Constant 6

7. RL Circuit Example 7

8. Voltage in RC Circuit 8 After Switching

9. RC Circuit Example 9

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

11. Step Response 11 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 12

13. Step Response in RC Circuit 13

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

15. Generalized Solution 15

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

17. Sequential Switching 17 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 18

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

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