Find the load impedance in a quarter line transformer with characteristic impedance of 75 ohm and input impedance of 200 ohm.(a) 28.125(b) 12.285(c) 52.185(d) 85.128The question was posed to me during an interview.This intriguing question comes from Transmission Line Equations topic in division Transmission Lines of Electromagnetic Theory

Find the load impedance in a quarter line transformer with characteris

1.	Find the load impedance in a quarter line transformer with characteristic impedance of 75 ohm and input impedance of 200 ohm.(a) 28.125(b) 12.285(c) 52.185(d) 85.128The question was posed to me during an interview.This intriguing question comes from Transmission Line Equations topic in division Transmission Lines of Electromagnetic Theory
Answer» The correct option is (a) 28.125 The EXPLANATION is: For a QUARTER line WAVE, the characteristic impedance is the geometric mean of input and load impedances. Thus Zo^2 = Zin ZL. On SUBSTITUTING for Zo = 75 and Zin = 200,we get ZL = Zo^2/Zin = 75^2/200 = 28.125 ohm.

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