Topic: Electromagnetics
A transmission line of $50~\Omega$ characteristic impedance terminated by a load impedance of $50-j50$. The magnitude of reflection coefficient at the load is
- A. $\sqrt{5/3}$
- B. $\sqrt{3/5}$
- C. $3\sqrt{5}$
- D. None of above
Answer: D. None of above
Explanation: $Z_{L}=50-j50$, $Z_{o}=50$. $\Gamma=\frac{Z_{L}-Z_{0}}{Z_{L}+Z_{0}}=\frac{50-j50-50}{50-j50+50} = \frac{-j50}{100-j50}=\frac{-j}{2-j}$. $|\Gamma|=\frac{1}{\sqrt{5}}$.