# Tapped Inductor Matching 1 comment

## Tapped Inductor Matching

The impedance transformation ratio and Q-factor/matching bandwidth of the circuit can be set independently. A tapped inductor matching circuit is shown in Fig.1 From Fig.1, Q-factor of branch is given by,

(1) At resonant frequency the circuit is redrawn, by parallel-to-series transformation, as shown in Fig.1(b).

(2) (3) (4) (5) From Eq.(5) and Eq(1)

(6) If ,

(7) Fig.1(c) illustrates the parallel R-L-C resonant circuit form of tapped inductor matching circuit.

(8) (9) When and , using Eq.(7)

(10) When Q-factors are large, from Eq.(7), we can conclude that the impedance transformation ratio is a function of inductors tap ratio. Hence the name tapped inductor matching for this matching circuit.

## Design Procedure

1. Calculate the value of using Eq.(9). 2. Calculate using Eq.(1) 3. Find the value of C using Eq.(8) 4. Calculate using Eq.(6) This site uses Akismet to reduce spam. Learn how your comment data is processed.

## One thought on “Tapped Inductor Matching”

• Osvaldo de Garay

Good info, boy!. Many thanks.