The characteristic impedance of a quarter wave transformer with load and input impedances given by 30 and 75 respectively is

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Quizplus · Accepted Answer

The characteristic impedance ($Z_0$) of a quarter wave transformer can be calculated using the formula $Z_0 = \sqrt{Z_L Z_{in}}$, where $Z_L$ is the load impedance and $Z_{in}$ is the input impedance. Substituting $Z_L = 30\Omega$ and $Z_{in} = 75\Omega$, we get $Z_0 = \sqrt{30 \times 75} = \sqrt{2250} \approx 47.43\Omega$.

The Characteristic Impedance of a Quarter Wave Transformer with Load