Hallo,
Stromanpassung: \(P_{ik} = \frac{U_{0}^{2}}{R_{i}}\)
Leistungsanpassung: \(P_{max} = \frac{(\frac{U_{0}}{2})^{2}}{R_{i}}\)
$$\frac{P_{ik}}{P_{max}} = \frac{U_{0}^{2}}{R_{i}} * \frac{R_{i}}{(\frac{U_{0}}{2})^{2}} = \frac{U_{0}^{2}}{R_{i}} * \frac{R_{i}}{U_{0}^{2}}*4$$
$$\frac{P_{ik}}{P_{max}} = 4$$
Gruß von hightech
