Howtosignalprocessing
The characteristic impedance of a single, N=1, quarter-wave transformer is Z01=√ZSZL=22.36Ω.
- How do you calculate the length of a quarter-wave transformer?
- How does a quarter-wave transformer work?
- What is the electrical length of a quarter-wave transformer?
- How does quarter wavelength work?
How do you calculate the length of a quarter-wave transformer?
The length should be one-quarter wavelength with respect to the signal propagating in the line. The free-space wavelength λ0=c/f at 10 GHz is ≅3 cm. Therefore, the wavelength of the signal in the line is λ=0.6λ0≅1.8 cm, and the length of the line should be l=λ/4≅4.5 mm.
How does a quarter-wave transformer work?
The quarter-wave transformer uses a transmission line with different characteristic impedance and with a length of one-quarter of the guided-wavelength to match a line to a load.
What is the electrical length of a quarter-wave transformer?
Quarter-wave impedance transformers are designed for a particular frequency and the length of the transformer is equal to λ0/4 only at this designed frequency.
How does quarter wavelength work?
A quarter-wavelength away from the open-circuit, the current and voltage oscillations are exactly the same as at a short-circuit, and vice versa. This reflects the fact that open circuit (Z=∞) is dual to short circuit (Z=0).
