Question

A transmission line has a VSWR of 2 then the reflection coefficient is

• A. \(1/2\)
• B. \(0\)
• C. \(1/4\)
• D. \(1/3\)

Hint:

Use VSWR relation to find reflection coefficient.

Answer 1

The Correct Option is D

Concept: \[ VSWR = \frac{1+|\Gamma|}{1-|\Gamma|} \]

Step 1: Given \[ VSWR = 2 \]

Step 2: Substitute \[ 2 = \frac{1+|\Gamma|}{1-|\Gamma|} \]

Step 3: Cross multiply \[ 2(1 - |\Gamma|) = 1 + |\Gamma| \]

Step 4: Solve \[ 2 - 2|\Gamma| = 1 + |\Gamma| \] \[ 1 = 3|\Gamma| \Rightarrow |\Gamma| = \frac{1}{3} \]

Step 5: Conclusion \[ \boxed{\frac{1}{3}} \]

Final Answer: \[ \boxed{(D)} \]