# A quarter wave transformer is connected between a transmission line of characteristic impedance of 50 ohm and load impedance of 100 ohm. What will be the characteristic impedance of the quarter wave transformer?

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A quarter wave transformer is connected between a transmission line of characteristic impedance of 50 ohm and load impedance of 100 ohm. What will be the characteristic impedance of the quarter wave transformer?

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Step 1

A quarter wave transformer is a transmission line and its length is equal to one-fourth of wavelength. It is a matching device, used between a transmission line and a load impedance. If Zo is the characteristic impedance of a transmission line and if ZL is the value of the load impedance, then the value of the characteristic impedance of the quarter wave transformer can be expressed as

Step 2

In this case, the values of the characteristic impedance of th...

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