Topic: Electronics Engineering
For a line characteristic impedance $Z_{0}$ terminated in a load $Z_{R}$ such that $Z_{R}>Z_{0},$ the Voltage Standing Wave Ratio (VSWR) is given by
- A. $Z_{R}/Z_{0}$
- B. $Z_{0}$
- C. $Z_{R}$
- D. $Z_{0}/Z_{R}$
Answer: D. $Z_{0}/Z_{R}$
Explanation: Reflection coefficient $(\Gamma)=\frac{Z_{0}-Z_{R}}{Z_{0}+Z_{R}}$
$VSWR=\frac{1+|\Gamma|}{1-|\Gamma|}=\frac{1+\frac{Z_{0}-Z_{R}}{Z_{0}+Z_{R}}}{1-(\frac{Z_{0}-Z_{R}}{Z_{0}+Z_{R}})} = \frac{Z_{0}+Z_{R}+Z_{0}-Z_{R}}{Z_{0}+Z_{R}-Z_{0}+Z_{R}}=\frac{Z_{0}}{Z_{R}}.$