Page 1 Chapter 9 – Network Theorems Introductory Circuit Analysis Robert L. Boylestad Page 2 Chapter 9 – Network Theorems Introductory Circuit Analysis Robert L. Boylestad 9.1 – Introduction ? This chapter introduces important fundamental theorems of network analysis. They are the ?Superposition theorem ?Thévenin’s theorem ?Norton’s theorem ?Maximum power transfer theorem ?Substitution Theorem ?Millman’s theorem ?Reciprocity theorem Page 3 Chapter 9 – Network Theorems Introductory Circuit Analysis Robert L. Boylestad 9.1 – Introduction ? This chapter introduces important fundamental theorems of network analysis. They are the ?Superposition theorem ?Thévenin’s theorem ?Norton’s theorem ?Maximum power transfer theorem ?Substitution Theorem ?Millman’s theorem ?Reciprocity theorem 9.2 – Superposition Theorem ? Used to find the solution to networks with two or more sources that are not in series or parallel. ? The current through, or voltage across, an element in a network is equal to the algebraic sum of the currents or voltages produced independently by each source. ? Since the effect of each source will be determined independently, the number of networks to be analyzed will equal the number of sources. Page 4 Chapter 9 – Network Theorems Introductory Circuit Analysis Robert L. Boylestad 9.1 – Introduction ? This chapter introduces important fundamental theorems of network analysis. They are the ?Superposition theorem ?Thévenin’s theorem ?Norton’s theorem ?Maximum power transfer theorem ?Substitution Theorem ?Millman’s theorem ?Reciprocity theorem 9.2 – Superposition Theorem ? Used to find the solution to networks with two or more sources that are not in series or parallel. ? The current through, or voltage across, an element in a network is equal to the algebraic sum of the currents or voltages produced independently by each source. ? Since the effect of each source will be determined independently, the number of networks to be analyzed will equal the number of sources. Superposition Theorem ?The total power delivered to a resistive element must be determined using the total current through or the total voltage across the element and cannot be determined by a simple sum of the power levels established by each source. Page 5 Chapter 9 – Network Theorems Introductory Circuit Analysis Robert L. Boylestad 9.1 – Introduction ? This chapter introduces important fundamental theorems of network analysis. They are the ?Superposition theorem ?Thévenin’s theorem ?Norton’s theorem ?Maximum power transfer theorem ?Substitution Theorem ?Millman’s theorem ?Reciprocity theorem 9.2 – Superposition Theorem ? Used to find the solution to networks with two or more sources that are not in series or parallel. ? The current through, or voltage across, an element in a network is equal to the algebraic sum of the currents or voltages produced independently by each source. ? Since the effect of each source will be determined independently, the number of networks to be analyzed will equal the number of sources. Superposition Theorem ?The total power delivered to a resistive element must be determined using the total current through or the total voltage across the element and cannot be determined by a simple sum of the power levels established by each source. 9.3 – Thévenin’s Theorem ?Any two-terminal dc network can be replaced by an equivalent circuit consisting of a voltage source and a series resistor.Read More

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