Understanding Natural Response in Electrical Engineering

In this lecture on Introduction to Electrical Engineering, the concept of natural response in circuits involving inductors and capacitors is explored. The process of energizing the components to a steady state, letting the circuit settle naturally, and analyzing the state of inductors and capacitors is discussed. Additionally, the response of the circuit when the switch position is changed is investigated.

• Electrical Engineering
• Natural Response
• Inductors
• Capacitors
• Circuit Analysis

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1. ELL100: INTRODUCTION TO ELECTRICAL ELL100: INTRODUCTION TO ELECTRICAL ENGG. ENGG. Lecture 5 Course Instructors: J.-B. Seo, S. Srirangarajan, S.-D. Roy, and S. Janardhanan Department of Electrical Engineering, IITD

2. Natural response Initially energize the inductors and/or capacitors to some steady state Let go of the circuit and let it settle naturally Analyze the state of the inductors and/or capacitors switch switch 1 2 1 2

3. Natural response Initially energize the inductors and/or capacitors to some steady state Let go of the circuit and let it settle naturally Analyze the state of the inductors and/or capacitors switch switch 1 2 1 2

4. Natural response Initially energize the inductors and/or capacitors to some steady state Let go of the circuit and let it settle naturally Analyze the state of the inductors and/or capacitors switch switch 1 2 1 2

5. Natural response switch 1 Initially the switch is in position 1 for a long time 2 Later the switch is moved to position 2. Find response of the circuit after the switch is thrown to position 2.

6. Natural response switch 1 Initially the switch is in position 1 for a long time 2 Later the switch is moved to position 2. Find response of the circuit after the switch is thrown to position 2.

7. Natural response switch 1 Initially the switch is in position 1 for a long time 2 Later the switch is moved to position 2. Find response of the circuit after the switch is thrown to position 2.

8. Natural response switch 1 Initially the switch is in position 1 for a long time 2 Later the switch is moved to position 2. Find response of the circuit after the switch is thrown to position 2.

9. Natural response switch 1 Initially the switch is in position 1 for a long time 2 Later the switch is moved to position 2. Find response of the circuit after the switch is thrown to position 2.

10. Natural response switch 1 Initially the switch is in position 1 for a long time 2 Later the switch is moved to position 2. Find response of the circuit after the switch is thrown to position 2. (time constant)

11. Natural response switch 1 2 Before the switch is at 2, the current through the inductor is The inductor does not allow an instantaneous change of the current

12. Natural response switch 1 2 Before the switch is at 2, the current through the inductor is The inductor does not allow an instantaneous change of the current

13. Natural response switch 1 2 Before the switch is at 2, the current through the inductor is The inductor does not allow an instantaneous change of the current

14. Natural response switch 2 1 Initially the switch is in position 1 for a long time Later the switch is moved to position 2. Find response of the circuit after the switch is thrown to position 2.

15. Natural response switch 2 1 Initially the switch is in position 1 for a long time Later the switch is moved to position 2. Find response of the circuit after the switch is thrown to position 2.

16. Natural response switch 2 1 Initially the switch is in position 1 for a long time Later the switch is moved to position 2. Find response of the circuit after the switch is thrown to position 2.

17. Natural response switch 2 1 Initially the switch is in position 1 for a long time Later the switch is moved to position 2. Find response of the circuit after the switch is thrown to position 2.

18. Natural response switch 2 1 Before the switch is at 2, the voltage across the capacitor is The capacitor does not allow an instantaneous change of the voltage

19. Example

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37. General Procedure