Question

Use a quarter-wavelength transformer to match a lossless transmission line of characteristic impedance of300ohmsto a resistive load of75ohms. Find the impedance of the transformer. Determine the standing wave ratio in the main line and the standing wave ratio in the transformer. What would be the physical length of the quarter-wave transformer at a frequency of100MHz, assuming that the transformer is a coaxial cable with dielectric constant equal to 16 ?

Answer 1

A transmission line that has a length that is one-fourth the wavelength of the signal being carried into a load is known as a quarter-wave transformer.

What is quarter wavelength transmission line?

When employing a quarter-wave impedance transformer for impedance matching, the complex load impedance must be changed to the real load impedance using shunt reactive elements or a sufficient length of transmission line between the load and quarter-wave impedance.

Impedance (Z) is a complex number that has two parts: a real portion that is defined as resistance (R) and an imaginary part that is known as reactance. It measures the resistance to electrical flow.

Since j is an imaginary unit, Z=R+jX is the equation for impedance.

A transmission line or waveguide of one-quarter wavelength () in length that is terminated with a known impedance is referred to as a quarter-wave impedance transformer, frequently abbreviated as /4 impedance transformer. The dual of the thing is shown at its input.

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