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Circuits Lecture 9: Thevenin and Norton Theorem (2)

Circuits Lecture 9: Thevenin and Norton Theorem (2). 李宏毅 Hung- yi Lee. Review - Thevenin and Norton Theorem. Two Terminal Network. Thevenin Theorem. Norton Theorem. Review - Thevenin and Norton Theorem. Two Terminal Network. Two Terminal Network. =.

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Circuits Lecture 9: Thevenin and Norton Theorem (2)

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1. Circuits Lecture 9: Thevenin and Norton Theorem (2) 李宏毅 Hung-yi Lee

2. Review - Thevenin and Norton Theorem Two Terminal Network Thevenin Theorem Norton Theorem

3. Review - Thevenin and Norton Theorem Two Terminal Network Two Terminal Network = The same concept is applied on isc.

4. Review - Thevenin and Norton Theorem suppress Two Terminal Network Two Terminal Network Two Terminal Network suppress suppress

5. Review - Thevenin and Norton Theorem Find voc Find isc Two Terminal Network Two Terminal Network Is it correct?

6. Outline • Maximum Power Transfer • Chapter 3.1 • Application of Thevenin Theorem

7. Review: Power Negative Communed Power = Supplied Power • ConsumedPower • Suppied Power - + reference current should flow from “+” to “-” B B A A - + reference current should flow from “-” to “+”

8. Ideal Sources • Larger power • i-v curse Ideal sources can supply unlimited power. • i-v curse • Larger power

9. Real Source • Real voltage sources cannot supply unlimited power Real voltage source = Ideal voltage source + resistor i-v characters for real voltage source

10. Real Source • Real current sources cannot supply unlimited power Real current source = Ideal current source || resistor i-v characters for real current source

11. Maximum power transfer power Device (Load) Power consumed by Rs Real source Power consumed by RL Rs is fixed, increase RL

12. Maximum power transfer Maximum power transfer to (consumed by) a load resistance requires RL = Rs: (Only 25%) Power consumed by RL

13. Maximum power transfer RL is a variable Find RL which maximizes PL When dPL/dRL=0, PLis maximum dPL/dRL=0, when Rs=RL

14. Power-transfer efficiency Eff=50%

15. Maximum power transfer When RL= Rs When RL= Rs

16. Maximum power transfer Audio Amplifier Signals from Sound Card Find a speaker that can gain sufficientpower http://ming-shian.blogspot.tw/2013/05/radio-tear-down.html

17. Maximum power transfer Difficult to compute the power Input audio signal Audio Amplifier http://angelfire.com/ab3/mjramp/index.html Thevenin Theorem

18. Maximum power transfer Sound Card + Audio Amplifier (speaker) Power consumed by RL

19. Application of Thevenin • Which value of R can absorb maximum power? Find the power. + - + - + - pRis maximum when dpR/dR=0

20. Application of Thevenin • Which value of R can absorb maximum power? Find the power. + - + - + - Have to find voc

21. Application of Thevenin • Find voc + voc - + - + - + -

22. Application of Thevenin • Use Thevenin Theorem several times + - + - + - + - + - + -

23. Application of Thevenin • Use Thevenin Theorem several times + - + - + - + -

24. Application of Thevenin • Use Thevenin Theorem several times + - + - + - + - + -

25. Application of Thevenin • Use Thevenin Theorem several times + -

26. Remind – Exercise 3.3 • What value of RL should be used to obtain the maximum available power?

27. Homework • 1ST ORDER DIFFERENTIABLE EQUATIONS • https://www.youtube.com/watch?v=2s9z1zLOAJY • 2nd ORDER DIFFERENTIABLE EQUATIONS • https://www.khanacademy.org/math/differential-equations/second-order-differential-equations/linear-homogeneous-2nd-order/v/2nd-order-linear-homogeneous-differential-equations-1

28. Thank you!

29. Appendix – Non-linear Elements

30. Non-linear Elements (http://www-inst.eecs.berkeley.edu/~ee42/sp03/LectNotes/42_05_6.pdf)

31. Non-linear Elements

32. Non-linear Elements Which operating regions?

33. Non-linear Elements

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