Let’s consider the most general case of a circuit, where we have the arbitrary loads Z1, Z2 and an arbitrary generator.
The input impedance of the terminated transmission line is . The voltage on the line . To receive the voltage of the generator we must take into consideration is the reflection coefficient of the generator. The standing wave ratio here is . So the power delivered to the load is: where .
1. When the load is matched to the line, and .
2. When the load is matched to the line, the load power is
3. Assuming that the generator impedance is fixed, the condition leads to the maximum power delivered to the load.
The conjugate matching condition is . This condition is conjugate matching, that leads to the maximum power delivered to the load for a fixed generator impedance . Figure 1 depicts the general case of transmission line circuit for mismatched load and the generator.