L-matching (inductance)?

[sme]

Dear Group

How does one calculate the inductance / capacitance required for an L-match
network to enable impedance matching?

Regards
Steve.

 

[Andrew Holme]

sme wrote:

Dear Group

How does one calculate the inductance / capacitance required for an
L-match network to enable impedance matching?

Regards
Steve.

If you just want the answer, you could use a calculator such as:
http://www.daycounter.com/Calculators/L-Matching-Network-Calculator.phtml

If you want to understand the theory, try Googling for: matching network
series parallel transformation

To analyse a network consisting of inductor L between input and output,
capacitor C to ground at the output, and load (RL) in parallel with the
capacitor, transform the parallel RC to an equivalent series circuit
(Rs-jXs). You now have jwL in series with Rs-jXs. Set wL=Xs to make a pure
resistance Rin = Rs looking into the network.

Rs = Xp*Xp*Rp / (Xp*Xp+Rp*Rp) --- eqn 1
Xs = Xp*Rp*Rp / (Xp*Xp+Rp*Rp) --- eqn 2

Where:
Rp = Load RL
Xp = 1/wC
Xs = wL
w (omega) = 2*pi*f

Calculate C from eqn 1; calculate L from eqn 2.

You can only solve eqn 1 if Rin<RL. If you need Rin>RL, just put the
capacitor at the other end - the network is reversible.

 

[Paul Burridge]

On Sun, 30 Jan 2005 13:43:30 GMT, "sme" <paragon12345@hotmail.com>
wrote:

Dear Group

How does one calculate the inductance / capacitance required for an L-match
network to enable impedance matching?

This is the easy way:

http://www.circuitsage.com/matching/matcher2.html
--

"What is now proved was once only imagin'd." - William Blake, 1793.

 

[sme]

Thank you all for your help!

"sme" <paragon12345@hotmail.com> wrote in message
news:6w5Ld.119$sa7.65@newsfe5-win.ntli.net...

Dear Group

How does one calculate the inductance / capacitance required for an
L-match
network to enable impedance matching?

Regards
Steve.