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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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**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 = The same concept is applied on isc.**Review - Thevenin and Norton Theorem**suppress Two Terminal Network Two Terminal Network Two Terminal Network suppress suppress**Review - Thevenin and Norton Theorem**Find voc Find isc Two Terminal Network Two Terminal Network Is it correct?**Outline**• Maximum Power Transfer • Chapter 3.1 • Application of Thevenin Theorem**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 “+”**Ideal Sources**• Larger power • i-v curse Ideal sources can supply unlimited power. • i-v curse • Larger power**Real Source**• Real voltage sources cannot supply unlimited power Real voltage source = Ideal voltage source + resistor i-v characters for real voltage source**Real Source**• Real current sources cannot supply unlimited power Real current source = Ideal current source || resistor i-v characters for real current source**Maximum power transfer**power Device (Load) Power consumed by Rs Real source Power consumed by RL Rs is fixed, increase RL**Maximum power transfer**Maximum power transfer to (consumed by) a load resistance requires RL = Rs: (Only 25%) Power consumed by RL**Maximum power transfer**RL is a variable Find RL which maximizes PL When dPL/dRL=0, PLis maximum dPL/dRL=0, when Rs=RL**Power-transfer efficiency**Eff=50%**Maximum power transfer**When RL= Rs When RL= Rs**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**Maximum power transfer**Difficult to compute the power Input audio signal Audio Amplifier http://angelfire.com/ab3/mjramp/index.html Thevenin Theorem**Maximum power transfer**Sound Card + Audio Amplifier (speaker) Power consumed by RL**Application of Thevenin**• Which value of R can absorb maximum power? Find the power. + - + - + - pRis maximum when dpR/dR=0**Application of Thevenin**• Which value of R can absorb maximum power? Find the power. + - + - + - Have to find voc**Application of Thevenin**• Find voc + voc - + - + - + -**Application of Thevenin**• Use Thevenin Theorem several times + - + - + - + - + - + -**Application of Thevenin**• Use Thevenin Theorem several times + - + - + - + -**Application of Thevenin**• Use Thevenin Theorem several times + - + - + - + - + -**Application of Thevenin**• Use Thevenin Theorem several times + -**Remind – Exercise 3.3**• What value of RL should be used to obtain the maximum available power?**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**Non-linear Elements**(http://www-inst.eecs.berkeley.edu/~ee42/sp03/LectNotes/42_05_6.pdf)**Non-linear Elements**Which operating regions?

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