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## The network theorems

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The scientists working in the field of the electrical engineering have developed more simplified theorems to analyze these kinds of complex circuits (the complicated circuit is also called the network). This chapter presents several theorems useful for analyzing such complex circuits or networks. These theorems include the superposition theorem, Thevenin's theorem, Norton's theorem, Millman's theorem, and the substitution theorem. In electric network analysis, the fundamental rules are still Ohm's law and Kirchhoff's laws.

Chapter Contents:

• Introduction to the network theorems
• 5.1 Superposition theorem
• 5.1.1 Steps to apply the superposition theorem
• 5.1.2 Superposition examples
• 5.2 Thevenin's and Norton's theorems
• 5.2.1 Introduction to Thevenin's and Norton's theorems
• 5.2.2 Thevenin and Norton equivalent circuits
• 5.2.3 Equivalent resistance and voltage/current
• 5.2.4 Procedure for applying the Thevenin's and Norton's theorems
• 5.2.5 Thevenin/Norton equivalent example
• 5.2.6 Viewpoints of Thevenin's and Norton's equivalent circuits
• 5.2.7 Norton's theorem examples
• 5.3 Maximum power transfer
• 5.3.1 Maximum power transfer theorem
• 5.3.2 Applications of maximum power transfer
• 5.3.3 Proof of maximum power transfer theorem
• 5.4 Millman's and substitution theorems
• 5.4.1 Millman's theorem
• 5.4.2 Millman's theorem example
• 5.4.3 Substitution theorem
• 5.4.4 Substitution theorem example
• Summary
• Practice problems

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