# Optimal Power Transfer Impedance

An AC voltage source with internal impedance $$(3+j3)$$ $$\Omega$$ feeds a load with a complex impedance of $$(A+jB)$$ $$\Omega$$.

If $$A$$ and $$B$$ are chosen so as to maximize the active power transferred to the load, what is $$(A+B)$$?

Clarification: $$j = \sqrt{-1}$$.

Bonus: Can you prove the generalization of this?

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