Hallo,
hier die Lösung:
Bei Leistungsanpassung gilt: \(\large R_{i} = R_{L}\)
1) \(\large \frac{U}{U_{0}}\)
\(\large U = U_{0} * \frac{R_{L}}{R_{i} + R_{L}} = U_{0} * \frac{R_{L}}{2*R_{L}} = U_{0} * \frac{1}{2}\)
\(\large \frac{U}{U_{0}} = \frac{1}{2}\)
2) \(\large \frac{I}{I_{K}}\)
\(\large U_{0} = I_{K} * R_{i}\)
\(\large I = \frac{U_{0}}{R_{i} + R_{L}} = \frac{I_{K} * R_{i}}{2*R_{i}} = I_{K} * \frac{1}{2}\)
\(\large \frac{I}{I_{K}} = \frac{1}{2}\)
hightech