EES512_L09_W2011_LinearitySuperpositionAndThevenin_commented

# EES512_L09_W2011_LinearitySuperpositionAndThevenin_commented...

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EES 512 :: Electric Circuits Winter 2011 Lecture 9 :: Linearity, Superposition Sections: 111/121/131/141 Instructor: Dr. Matthew Kyan

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Outline previously: KCL ==> Nodal Analysis KVL ==> Mesh Analysis This week: Thevenin's Theorem Maximum power transfer
Linearity Property Linearity is the property of an element describing a linear relationship between cause A linear circuit is one whose output is linearly related (directly proportional) to its input + - R i v s Linear Circuit

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Linearity Property
Linear Property. . is a combination of: 1.Homogeneity (scaling) property if input (excitation/source) is increased by factor of k then → output (response) should also increase by factor of k 2.Additive property response to an input that is the sum of 2 or more inputs = sum of circuit response to each input individually

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Example 1 Find I o when v s = 12V, and v s = 24V
Example 2 Find v o when i s =15A, and i s =30A

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Example 3 Assume I o =1A, and use linearity to find the actual value of I o
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## EES512_L09_W2011_LinearitySuperpositionAndThevenin_commented...

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