ECE201_Lecture11

ECE201_Lecture11 - ECE201 Linear Circuit Analysis I Lecture...

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1 ECE201 Linear Circuit Analysis I Lecture 11. Topics: Linearity (cont.) & source transformations 1. Analysis of linear circuit with dependent sources. Find V 0 in the circuit above. (1) Strategy #1: (i) Treat only independent sources as inputs. (ii) Treat dependent sources and resistors as the linear resistive network. (iii) solve so that y, the output (or the variable of interest) is a linear function of independent sources. Solution to the example: Step 1. General linear relationship: V o = α s + β I s = V 0 + 0 Step 2. Open I s and find 0 due to V s . At the supernode, i x + 0 2 + 0 s 2 = 0 Simplify: 2 + 2 0 = Inside the supernode: 2 0 = 4 Simplify: 2 + 0 = Solve for 0 : 0 =
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2 Step 3. Short V s and find V 0 due to I s . At the supernode, I s = i x + 0 2 + 0 2 Simplify: = + 0 Inside the supernode: 2 0 = 4 Simplify: 2 + 0 = 0 Solve for 0 : 0 = 2 Step 4. Solve V 0 : V o = 0 + 0 = + 2 (2) Strategy #2: (i) treat the dependent sources as additional inputs.
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ECE201_Lecture11 - ECE201 Linear Circuit Analysis I Lecture...

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