Editing Input impedance (section)

===Power transfer===
The condition of [[maximum power theorem|maximum power]] transfer states that for a given source maximum power will be transferred when the resistance of the source is equal to the resistance of the load and the power factor is corrected by canceling out the reactance. When this occurs the circuit is said to be ''[[complex conjugate]] matched'' to the signals impedance. Note this only maximizes the power transfer, not the efficiency of the circuit. When the power transfer is optimized the circuit only runs at 50% efficiency. 

The formula for complex conjugate matched is 
:<math>\begin{align}
Z_{in} & = Z_{out}^* \\
& = \left\vert Z_{out} \right\vert e^{- j \Theta_{out}} \\
& = \operatorname{Re}(Z_{out}) - j \operatorname{Im}(Z_{out}). \\
\end{align}</math>
When there is no reactive component this equation simplifies to <math>Z_{in} = Z_{out}</math> as the imaginary part of <math>Z_{out}</math> is zero.