1 ECE201 Linear Circuit Analysis I Lecture 14. Topic: Maximum Power Transfer 1.Maximum power transfer for a linear resistor Under what condition is power absorbed by RLmaximum? (1) When RLis a linear resistor (i.e., ) PL=iL2RL=vsRs+RL 2RLmaximum power transfer occurs when RL= RsAnd PL,max=vs24RsProof: What value of RLmaximizes PL? dPLdRL=vsRs+RL 2+RLvs2⋅−2Rs+RL()3=vs2Rs+RL−2RLRs+RL()3=vs2Rs−RLRs+RL()3Set dPLdRL=0, then RL=Rsor RL= ∞RvL iL0
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