Mhz Antenna

loop antenna matching with the following parameters,i wanna know the circuit for impedence matching.?
Q= 20
L= .71664 microH
operating frequency = 13.6 MHz
i want to know how to do the impedance matching, the values of the various circuit component. (capacitor, resistor etc.) and if there is a internet site that can help me with this.
thanx
First, you need to know the impedance of the antenna and the impedance of the system (i.e., transmission line) that you are matching it to. You haven’t really stated the impedance of the antenna in an obvious form. Do you mean that the antenna impedance looks like an inductance of 0.71664 microhenries with a Q of 20? Reading your question, that’s the conclusion I make. If that is true then here is how to match that impedance to a 50 ohm system at 13.6 MHz.
First, change your antenna impedance to a more user friendly form. At 13.6 MHz an inductor of 0.71664 uh has a reactance of X = 2 pi f L = 2 * pi * 13.6e6 * 0.71664e-6 = +j61.24 ohms. Let’s find the series equivalent impedance, so R = X/Q = 61.24/20 = 3.06 ohms. So your series equivalent impedance is 3.06 + j61.24 ohms at 13.6 MHz. By looking at these values it is apparent that this will result in a very narrow bandwidth match.
The next step is to decide what matching network topology you want to use. Your matching network must do 2 things. It must remove the reactive part (+j61.24 ohms) and change the real part (3.06 ohms) to 50 ohms. Certain circuit topologies may do this better than others, and certain circuit topologies will give you more reasonable matching component values than others. This is where lots of experience doing this comes in.
Let’s say we will use a simple 2 element network. You can design this on either a Smith Chart if you know how or using equations for an “L” network. To match on the Smith Chart you could start at the center (50 + j0 ohms) and add components until you arrive at the complex conjugate of the antenna impedance (3.06 – j61.24 ohms). Or you could just plug your source (50 + j0) and load (3.06 + j 61.24) into the appropriate “L” network equations. When I did this I came up with two matching circuits that should do the job and give reasonable component values.
Circuit #1: 50 ohm source – series C = 48.2 pf, shunt C = 144.4 pf – Antenna.
Circuit #2: 50 ohm source – series L = 2.84 uh, shunt C = 236.9 pf – Antenna
Both of these were plugged into a circuit simulator and they do work.
If you were to actually build this you would probably want to make the shunt C adjustable to tune the antenna right on.
BTW, I don’t recommend stub matches at HF. The stubs are too big and lossy. Also, never use resistors in matching networks. All they do is waste power. If you can’t get the match using only L and C values, try a different circuit topology, don’t add a resistor.
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Blackcat! Cell Phone Antenna
BLACKCAT! CELL PHONE ANTENNA
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BLACKCAT! Antenna Technical Specifications
Part #…………………….
BC-101
Frequency Range…….
824-894 and 1850-1990 MHz
Height……………..
16 Inches
Antenna Gain………….
7 dB
Coax Cable……………
RG58, 10 Feet
Base…………………….
3 Inch Diameter
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Vertical
Connector……………….
FME Female
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Warranty: This antenna carries a 30 day satisfaction guarantee. We may, at our option, replace it one time, before issuing a refund (if you don’t get a signal in you yard, you likely need a different antenna, so please don’t buy this one). The restrictions on the guarantee are that it must be returned to us in the condition as it was received: in new, saleable condition with no nicks, chips, cuts, bends, etc. It must be received by us with the cable rolled and tied with the ties that come with it, the thread protector in place and in its original packaging. We must receive it in our store within 30 days from receipt by customer. Call the store for an RMA# before returning.
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