Question

In ideal transmission line with matched load, the VSWR and reflection coefficient are respectively

• A. \(1\) and \(1\)
• B. \(0\) and \(1\)
• C. \(\infty\) and \(0\)
• D. \(1\) and \(0\)

Hint:

Matched load ⇒ no reflection ⇒ VSWR = 1.

Answer 1

The Correct Option is D

Concept: Reflection coefficient: \[ \Gamma = \frac{Z_L - Z_0}{Z_L + Z_0} \] VSWR: \[ VSWR = \frac{1 + |\Gamma|}{1 - |\Gamma|} \]

Step 1: Matched condition \[ Z_L = Z_0 \]

Step 2: Calculate reflection coefficient \[ \Gamma = 0 \]

Step 3: Substitute in VSWR \[ VSWR = \frac{1+0}{1-0} = 1 \]

Step 4: Interpretation No reflection, perfect transmission.

Step 5: Conclusion \[ \boxed{1 \text{ and } 0} \]

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