Simple impedance matching circuit and formula

Impedance matching circuit

1. If there is impedance , Then there will be power consumption in the impedance , Therefore, if impedance matching is not done, the output power of the amplifier will be wasted .
2. Connect a capacitor or inductor in series with a load , The impedance value of the load can be increased or decreased

Simple application

For a given load resistance R, We will find one in frequency ω Lower and drive resistors R’ Matching circuit . And Design L Matching circuit （ As shown in the figure below ）.

Considering the resistance （R） And inductors （L） It's in series . This combination with capacitors （C） parallel . therefore , The impedance is ：
Now? , We separate the imaginary and real parts of the above equation by means of complex conjugation .
Now?

ω = ω0 when , We put the input impedance Yin, Set to R ’

here ,Q yes Q factor , For series L and R The Internet ,Q Factor equals ,

The steps to design this loop , Find the parameters you want

step -1 For a given R and R’, from (2) Found in Q.
step -2 For a given ω0, from (3) Find what you need .
step -3 from (1), Find what you need Y Give the selected resonant frequency .