The characteristic impedance of a quarter wave transformer with load and input impedances given by 30 and 75 respectively is(a) 47.43(b) 37.34(c) 73.23(d) 67.45I have been asked this question by my school teacher while I was bunking the class.My question is based upon Input and Characteristic Impedances topic in chapter Transmission Lines of Electromagnetic Theory

The characteristic impedance of a quarter wave transformer with load a

1.	The characteristic impedance of a quarter wave transformer with load and input impedances given by 30 and 75 respectively is(a) 47.43(b) 37.34(c) 73.23(d) 67.45I have been asked this question by my school teacher while I was bunking the class.My question is based upon Input and Characteristic Impedances topic in chapter Transmission Lines of Electromagnetic Theory
Answer» Correct OPTION is (a) 47.43 To elaborate: In quarter WAVE transformer, the characteristic impedance will be the GEOMETRIC mean of the input impedance and the load impedance. THUS Zo^2 = ZIN ZL. On substituting for ZIN = 75 and ZL = 30, we get the characteristic impedance as 47.43 UNITS.

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