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The value of VSWR when the antenna impedance is perfectly matched with Transmission line is _______ Select one:a. Infiniteb. None of the abovec. 1 dBd. 1

Question

The value of VSWR when the antenna impedance is perfectly matched with Transmission line is _______

Select one:

  • a. Infinite
  • b. None of the above
  • c. 1 dBd
  • d. 1
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Solution

Break Down the Problem

  1. We need to determine the value of Voltage Standing Wave Ratio (VSWR) when the impedance of the antenna is perfectly matched with the transmission line.

Relevant Concepts

  1. The formula for VSWR is given by:

VSWR=1+Γ1Γ \text{VSWR} = \frac{1 + \Gamma}{1 - \Gamma}

where Γ \Gamma is the reflection coefficient.

  1. When the antenna impedance is perfectly matched with the transmission line, the reflection coefficient Γ=0 \Gamma = 0 .

Analysis and Detail

  1. Substituting Γ=0 \Gamma = 0 into the VSWR formula:

VSWR=1+010=11=1 \text{VSWR} = \frac{1 + 0}{1 - 0} = \frac{1}{1} = 1

Verify and Summarize

  1. Since we derived that the VSWR is 1 when the antenna is perfectly matched, we can conclude that this is the correct answer.

Final Answer

The value of VSWR when the antenna impedance is perfectly matched with the transmission line is 1.

This problem has been solved

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