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We say transmission is matched when :

  • A.\(Z_L = z_0\)
  • B.\(Z_L = \sqrt{z_0}\)
  • C.\(Z_L = z_0/2\)
  • D.\(Z_L = 2z_0\)

Answer: A

A line is matched when \(Z_L = z_0\).

When the load impedance equals the characteristic impedance of the line, the reflection coefficient is zero:

\[ \Gamma = \frac{Z_L - Z_0}{Z_L + Z_0} = 0 \]

All the incident power is absorbed by the load, there is no reflected wave, and the VSWR is 1.

A load of \(Z_0/2\) or \(2Z_0\) gives a reflection coefficient of magnitude 1/3 and a VSWR of 2. \(\sqrt{Z_0}\) is not even dimensionally an impedance, so it cannot be a matching condition.

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