– Introduction  This chapter introduces important fundamental theorems of network analysis. They are the  Superposition theorem  Thévenin’s theorem.

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Presentation transcript:

– 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

– Th é venin’s Theorem  Any two-terminal dc network can be replaced by an equivalent circuit consisting of a voltage source and a series resistor.

Th é venin’s Theorem  Thévenin’s theorem can be used to:  Analyze networks with sources that are not in series or parallel.  Reduce the number of components required to establish the same characteristics at the output terminals.  Investigate the effect of changing a particular component on the behavior of a network without having to analyze the entire network after each change.

Th é venin’s Theorem  Procedure to determine the proper values of R Th and E Th  Preliminary 1.Remove that portion of the network across which the Thévenin equation circuit is to be found. In the figure below, this requires that the load resistor R L be temporarily removed from the network.

Th é venin’s Theorem 2.Mark the terminals of the remaining two-terminal network. (The importance of this step will become obvious as we progress through some complex networks.) R Th : 3.Calculate R Th by first setting all sources to zero (voltage sources are replaced by short circuits, and current sources by open circuits) and then finding the resultant resistance between the two marked terminals. (If the internal resistance of the voltage and/or current sources is included in the original network, it must remain when the sources are set to zero.)

Th é venin’s Theorem E Th : 4.Calculate E Th by first returning all sources to their original position and finding the open-circuit voltage between the marked terminals. (This step is invariably the one that will lead to the most confusion and errors. In all cases, keep in mind that it is the open-circuit potential between the two terminals marked in step 2.)

Th é venin’s Theorem  Conclusion: 5.Draw the Thévenin equivalent circuit with the portion of the circuit previously removed replaced between the terminals of the equivalent circuit. This step is indicated by the placement of the resistor R L between the terminals of the Thévenin equivalent circuit. Insert Figure 9.26(b)

Th é venin’s Theorem Experimental Procedures  Two popular experimental procedures for determining the parameters of the Thévenin equivalent network:  Direct Measurement of E Th and R Th  For any physical network, the value of E Th can be determined experimentally by measuring the open- circuit voltage across the load terminals.  The value of R Th can then be determined by completing the network with a variable resistance R L.