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Home Electric Networks Simplification of Networks  


Simplification of NetworksCommunication networks are often complicated, and it sometimes is advantageous to reduce them to simple networks before a final solution is made. Thus, in Fig. 9 (a) suppose that it is desired to find the current I_{L} that the generator of voltage E_{g }and of internal impedance Z_{g} sends through the load impedance Z_{L}.
The combination Z_{A}, Z_{B}, and Z_{c} can be treated as a π section, and the equivalent T section can be obtained from equations 4, 5, and 6. This gives the circuit of Fig. 9(b). These new impedances are called Z_{1}, Z_{2}, and Z_{3}. The combination Z_{D}, Z_{E}, and Z_{F} also can be treated as a π section, and the equivalent T section can be found from equations 4, 5, and 6, giving the circuit of Fig. 9(c) with the new impedances called Z_{4}, Z_{5}, and Z_{6}. All series impedances are then added, giving Fig. 9(d), which can readily be solved for the desired current I_{L }through the load impedance Z_{L}.


Home Electric Networks Simplification of Networks 