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Lecture 5 Source Transformation Thevenin Equivalent Circuit Norton Equivalent Circuit

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Source Transformation Show that i S =v S /R for any R L

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Application Determine whether the 6V source is absorbing or delivering the power.

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Step-by-step simplification

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Redundant Resistor (1) Prove that the left circuit and the right circuit are equivalent for any load resistor.

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Redundant Resistor (2) Prove that the left circuit and the right circuit are equivalent for any load resistor.

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Example 4.9

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Simplified Circuit

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Thevenin Equivalent Circuit

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V Th If R L =∞, then V ab =V TH If R L =0, the short circuit current from a to b (i.e. i ab ) should equal to i sc =V Th /R TH. So R TH =V Th /i sc

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Determine v ab Show that V TH = v ab

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Determine i SC and R TH

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Example 4.10 Determine the Thevenin Equivalent Voltage

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Example 4.10 1.Determine the short circuit current 2.Determine R TH

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Methods of Finding R TH R TH =V TH /i SC If the network contains only independent soruces: – Deactivate a voltage source by replacing it with a short – Deactivate a current source by replacing it with an open If the network contains dependent sources – Apply a test source

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If the network contains only independent soruces

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R TH

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Norton Equivalent Circuit A Norton Equivalent circuit consists of – Short-Circuit Current – Norton Equivalent Resistance, which is equal to Thevenin Equivalent Resistance

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Derivation of Norton Equivalent Circuit

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Extra Credit Assignment Derive 4.1-4.3

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More about the Extra Credit Assignment

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