电子电工技术英文课件 (40).pdf

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1、4.4 Circuit Equivalence When a circuit is complex,we can simplify part of the circuit,as shown in Fig.1.Then it can be equivalent to a more simple circuit.This simplifying process is called circuit equivalence.Note that we must ensure the relation of v and i should not change after the circuit equiv

2、alence.Part of theCircuitRest of theCircuitviEquivalentSimpleCircuitRest of theCircuitvi Figure 1:Circuit equivalence.For example,two resistors in series can be equivalent to one resistor,as shown in Fig.2.The deriving process can be found in Section 1.6.1R2Req12RRR=+Figure 2:Circuit equivalence of

3、two resistors in series.Two resistors in parallel can also be equivalent to one resistor,as shown in Fig.3.1R2R12eq12R RRRR=+Figure 3:Circuit equivalence of two resistors in parallel.From Fig.2 and Fig.3,it is obvious that the circuit becomes much simpler through circuit equivalence.For another exam

4、ple,two voltage sources in series can be equivalent to one voltage source,as shown in Fig.4.RR1V2Veq12VVV=+Figure 4:Circuit equivalence of two voltage sources in series.The advantage of circuit equivalence is the simplification of the circuit,which makes circuit analysis easier.Therefore,circuit equivalence is a very important and useful method for circuit analysis.