126 Te.hniqLres of Circuit Anaty5is d Figure 4.56 a A modified veEion ofthe circLrit sho$,n in Fig.4.t5. tigurc 4.57 A The ciftuit shown jn Pig. 4.56 modified by a Th€venin equivatent. figure 4.58 A A circuit describing maximum power with the Th6venin equivalent, the circuit in Fig. 4.56 becomes the one shown hFig.4.57. We now derive an equation for iB simply by surnming t]le voltages around the left mesh. ln writing this mesh equation, we recognize that i, : (1 + B)t,. Thus, irom which ,r, 4,12 vn,: R*i, +va+ RE(1 + B)iB, \1.71) Vm V,t Rrh + (1 + B)R, Maxircrum Power Transfer \4.72) Wiren we substitute Eqs. 4.69 and 4.70 into Eq. 4.72, we get the same er?ression oblained in Eq.2.25.Note lhatwhen we have incoiporated the Th6venin equivalent into the original circuit, we can obtain the solution for is by wdting a single equation. Circuit analysis plays an importantrole in the analysis of systems designed to transfer power lrom a source to a load, We discuss power transfer in terms of two basic types of systems. The first emphasizes
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