Engineering Board Exam Reviewer · Circuit Theorems in AC Analysis · hard

A source has a Thevenin impedance of 30+j40, . The load is a variable pure resistance. What value of load resistance receives the maximum power?

  1. 50,
  2. 30,
  3. 40,
  4. 70,

Answer

A. 50,

Solution

When only the magnitude of the load impedance can be varied (here a pure resistance), maximum power occurs when RL=|ZTh|=sqrt(302+402)=50, .

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