Topic: Electromagnetics
A lossless line having characteristic impedance $Z_{o}$ is terminated with a load impedance of $jZ_{0}$. VSWR of the line will be
- A. 1
- B. 10
- C. infinite
- D. none of the above
Answer: C. infinite
Explanation: Reflection coefficient $\Gamma = \frac{Z_{L}-Z_{o}}{Z_{L}+Z_{o}} = \frac{jZ_{o}-Z_{o}}{jZ_{o}+Z_{o}} = \frac{j-1}{j+1}$.
The magnitude of the reflection coefficient is $|\Gamma| = 1$.
$\text{VSWR} = \frac{1+|\Gamma|}{1-|\Gamma|} = \frac{1+1}{1-1} = \infty$.