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The input impedance of a quarter wave line 50 ohm and load impedance of 20 ohm is

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The input impedance of a quarter wave line 50 ohm and load impedance of 20 ohm is

(a) 50

(b) 20

(c) 1000

(d) 125

The question was asked during an online exam.

This is a very interesting question from Input and Characteristic Impedances in portion Transmission Lines of Electromagnetic Theory

1 Answer

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Best answer
Right option is (d) 125

Easiest explanation: The characteristic impedance will be the geometric mean of the input impedance and the load impedance. Thus Zo^2 = Zin ZL. On substituting for Zo = 50 and ZL = 20, we get the input impedance as 50^2/20 = 125 ohm.

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