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Find the load impedance in a quarter line transformer with characteristic impedance of 75 ohm and input impedance of 200 ohm.

Find the load impedance in a quarter line transformer with characteristic impedance of 75 ohm and input impedance of 200 ohm. Correct Answer 28.125

For a quarter line wave, the characteristic impedance is the geometric mean of input and load impedances. Thus Zo2 = Zin ZL. On substituting for Zo = 75 and Zin = 200, we get ZL = Zo2/Zin = 752/200 = 28.125 ohm.

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