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Lecture_7

# Lecture_7 - 1 BME 311 Network Theory John X.J Zhang UT...

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Unformatted text preview: 1 BME 311 Network Theory John X.J. Zhang, UT Austin 1 This Lecture • Linear Circuit – Simplify circuit analysis using circuit theorems • Circuit Theorems – Thevenin’s Theorem – Norton’s Theorem BME 311 Network Theory John X.J. Zhang, UT Austin 2 Linear System • Linearity – linear relationship between input (excitation) and output (response) – Combination of both • Homogeneity (scaling) property Y=f(x) Æ kY=f(kx) • Additive property Y 1 =f(x 1 ), Y 2 =f(x 2 ) Æ Y 1 +Y 2 =f(x 1 +x 2 ) Y = f(x) Æ k 1 Y 1 +k 2 Y 2 = f(k 1 X 1 + k 2 X 2 ) Examples: Resistor R=V / I Circuit consists of linear elements, linear independent/dependent sources (How about a light switch?) Linear System 2 BME 311 Network Theory John X.J. Zhang, UT Austin 3 • If v s =10 V gives i= 2 A, (a) v s =1 V, i=? (b) i= 2 mA, v s =? BME 311 Network Theory John X.J. Zhang, UT Austin 4 • Linearity – Homogeneity (scaling) property Y=f(x) Æ kY=f(kx) – Additive property Y 1 =f(x 1 ), Y 2 =f(x 2 )...
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Lecture_7 - 1 BME 311 Network Theory John X.J Zhang UT...

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