Introduction to Electrical Engineering: Complete Response

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Introduction to the concept of complete response in electrical engineering, covering natural response, forced response, and the addition of both components. The lecture also includes examples and step responses of RL and RLC circuits.


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  1. ELL100: INTRODUCTION TO ELECTRICAL ELL100: INTRODUCTION TO ELECTRICAL ENGG. ENGG. Lecture 10 Course Instructors: J.-B. Seo, S. Srirangarajan, S.-D. Roy, and S. Janardhanan Department of Electrical Engineering, IITD

  2. Complete Response Complete Response Natural response Energy storage elements The form of natural response is governed by circuit itself Use poles and zeros of the impedance function Forced response External sources, e.g., batteries or generators The amplitude of forced response is determined by the magnitude of the forcing function and impedance Complete response = Natural response + Forced response 2

  3. Complete Response Complete Response Natural response Energy storage elements The form of natural response is governed by circuit itself Use poles and zeros of the impedance function Forced response External sources, e.g., batteries or generators The amplitude of forced response is determined by the magnitude of the forcing function and impedance Complete response = Natural response + Forced response 3

  4. Complete Response Complete Response Natural response Energy storage elements The form of natural response is governed by circuit itself Use poles and zeros of the impedance function Forced response External sources, e.g., batteries or generators The amplitude of forced response is determined by the magnitude of the forcing function and impedance Complete response = Natural response + Forced response 4

  5. Complete Response Complete Response Natural response Energy storage elements The form of natural response is governed by circuit itself Use poles and zeros of the impedance function Forced response External sources, e.g., batteries or generators The amplitude of forced response is determined by the magnitude of the forcing function and impedance Complete response = Natural response + Forced response 5

  6. Complete Response Complete Response Natural response Energy storage elements The form of natural response is governed by circuit itself Use poles and zeros of the impedance function Forced response External sources, e.g., batteries or generators The amplitude of forced response is determined by the magnitude of the forcing function and impedance Complete response = Natural response + Forced response 6

  7. Complete Response Complete Response 7

  8. Complete Response Complete Response 8

  9. Complete Response Complete Response 9

  10. Complete Response Complete Response 10

  11. Complete Response Complete Response Write the impedance function (or admittance) Determine the forced response from the forcing func. Identify the natural response from poles and zeros with undetermined constants Add the forced and natural responses and evaluate the undetermined constants 11

  12. Complete Response Complete Response Write the impedance function (or admittance) Determine the forced response from the forcing func. Identify the natural response from poles and zeros with undetermined constants Add the forced and natural responses and evaluate the undetermined constants 12

  13. Complete Response Complete Response Write the impedance function (or admittance) Determine the forced response from the forcing func. Identify the natural response from poles and zeros with undetermined constants Add the forced and natural responses and evaluate the undetermined constants 13

  14. Complete Response Complete Response Write the impedance function (or admittance) Determine the forced response from the forcing func. Identify the natural response from poles and zeros with undetermined constants Add the forced and natural responses and evaluate the undetermined constants 14

  15. Step response of RL circuit Step response of RL circuit 15

  16. Step response of RL circuit Step response of RL circuit 16

  17. Step response of RL circuit Step response of RL circuit 17

  18. Step response of RL circuit Step response of RL circuit 18

  19. Step response of RL circuit Step response of RL circuit 19

  20. Step response of RL circuit Step response of RL circuit 20

  21. Example Example 21

  22. Example Example 22

  23. Example Example 23

  24. Example Example 24

  25. Example Example Previous solution 25

  26. Example Example Previous solution 26

  27. Example Example Previous solution 27

  28. Example Example Previous solution 28

  29. Example Example Previous solution 29

  30. Example Example 30

  31. Example Example 31

  32. Example Example 32

  33. Example Example 33

  34. Example Example 34

  35. Step response of RLC circuit Step response of RLC circuit 35

  36. Step response of RLC circuit Step response of RLC circuit 36

  37. Step response of RLC circuit Step response of RLC circuit 37

  38. Step response of RLC circuit Step response of RLC circuit 38

  39. Step response of RLC circuit Step response of RLC circuit 39

  40. Step response of RLC circuit Step response of RLC circuit 40

  41. Step response of RLC circuit Step response of RLC circuit 41

  42. Example Example 1 1 42

  43. Example Example 1 1 43

  44. Example Example 1 1 44

  45. Example Example 1 1 45

  46. Example Example 1 1 46

  47. Example Example 1 1 47

  48. Example Example 1 1 48

  49. Example Example 1 1 49

  50. Example Example 1 1 50

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