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E E 2315

E E 2315. Lecture 11 Natural Responses of Series RLC Circuits. Natural Response of Series RLC (1/5). KVL for t  0:. but. Natural Response of Series RLC (2/5). KVL for t  0:. Differentiate:. Natural Response of Series RLC (3/5). From experience with 1st order problems:.

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E E 2315

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  1. E E 2315 Lecture 11 Natural Responses of Series RLC Circuits

  2. Natural Response of Series RLC (1/5) KVL for t  0: but

  3. Natural Response of Series RLC (2/5) KVL for t  0: Differentiate:

  4. Natural Response of Series RLC (3/5) From experience with 1st order problems: Substitute into last KVL equation: Divide out then

  5. Natural Response of Series RLC (4/5) Solve for a: Let and

  6. Natural Response of Series RLC (5/5) Then • Three types of response: • real and unequal (both negative) • real and equal (negative) • complex conjugate pair

  7. Overdamped Series RLC (1/6)

  8. Overdamped Series RLC (2/6)

  9. Overdamped Series RLC (3/6) Now use initial conditions to find k1 and k2. then

  10. Overdamped Series RLC (4/6)

  11. Overdamped Series RLC (5/6)

  12. Overdamped Series RLC (6/6)

  13. Critically Damped Series RLC (1/6)

  14. Critically Damped Series RLC (2/6)

  15. Critically Damped Series RLC (3/6) Solve for g1 & g2 using initial conditions: then &

  16. Critically Damped Series RLC (4/6)

  17. Critically Damped Series RLC (5/6)

  18. Critically Damped Series RLC (6/6)

  19. Underdamped Series RLC (1/7)

  20. Underdamped Series RLC (2/7) but and

  21. Underdamped Series RLC (3/7)

  22. Underdamped Series RLC (4/7) Solve for a and b with initial conditions:

  23. Underdamped Series RLC (5/7)

  24. Underdamped Series RLC (6/7)

  25. Underdamped Series RLC (7/7)

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