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lecture9 - Circuit Theorems Motivations Nodal and Mesh...

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1 Circuit Theorems Motivations • Nodal and Mesh analysis are adequate for the analysis of any resistive circuits. • However, for a large, complex circuit, these methods involve tedious computation. • Objectives: – To reduce the manual computational effort – To gain insight into the circuit’s operation that cannot be gained from a nodal or mesh analysis Preview • In this chapter we consider techniques that help simplify circuit analysis. • Topics covered: – circuit linearity – superposition – source transformation – Thevinin’s and Norton’s Theorems – maximum power transfer
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2 Linearity Property Linearity of an element Resistor is a linear element Linearity property : - homogeneity (scaling): - additivity: iR v = kiR kv = 2 1 2 1 2 1 2 1 2 2 1 1 ) ( gives ) ( applying then and , if v v R i R i R i i v i i R i v R i v + = + = + = + = = Linearity of a circuit An example: V s I s 120 60 + V - I s s s s V I I V I V 180 1 3 2 3 2 40 - = + =
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3 Linearity of a circuit
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lecture9 - Circuit Theorems Motivations Nodal and Mesh...

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