# Maximum Average Power Transfer and Efficiency

I've got this simple exercise about maximum power transfer.

simulate this circuit – Schematic created using CircuitLab

Where $$\E_{th}=100\angle 0º \$$ [V] and $$\Z_{th}=100\angle 20º \$$.

Then I completed this table with values I obtained after solving the equations on $$\Mathematica\$$.

I know that the theorem states that the maximum power transfer on the load will be when $$\R_{L}=R_{eq}\$$ and $$\X_{L}=-X_{eq}\$$ . This agrees with the values of $$\P_L\$$ .

The efficiency is bugging me. How is it the same efficiency with the first 2 values? and is it true that the efficiency isn't the best at the maximum power transfer load values?

Are my calculations wrong or is it something else?

Thank you!