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On May 16, 3:42*pm, John KD5YI wrote:
On 5/16/2011 6:54 AM, Cecil Moore wrote: On May 15, 7:54 pm, John *wrote: 100W--50ohm--+--1/4WL 100ohm--200 ohm load It is a 100 ohm feedline. The impedance at the + point looking toward the load is 50 ohms. The 100 W source will see the first 50 ohms and then the impedance at the + point. The total impedance seen by the source is therefore 100 ohms. A 100 W source will deliver 100V to this 100 ohm combination and 50V of it will appear at the + point. Where does the 70.707V come from? I said: "All that matters is that the source is delivering 70.707 volts to the 50 ohm feedline." That would be at the source SO-239 terminal to PL-259 50 ohm coax junction. I did *NOT* say there is 70.7v on the Z0=100 ohm feedline. There is indeed 100 volts on the Z0=100 ohm line. The source is Z0 matched to 50 ohms and is *delivering 70.707 volts and 1.414 amps to the 50 ohm coax*. 70.7/1.414=50 ohms. 70.7*1.414=100 watts. Here is a better diagram: http://www.w5dxp.com/enfig1.gif Pfor1=100w, Pref1=0, Z01=50 ohms, Z02=100 ohms and 1/4WL, Load=200 ohms. Everything except the load is lossless. I apologize if my one line diagram was confusing. It is extremely difficult to draw ASCII schematics using a proportional font. -- 73, Cecil, w5dxp.com "Halitosis is better than no breath at all.", Don, KE6AJH/SK Okay, so your source really looks like a a 100 W generator with no internal impedance but which feeds a 50 ohm line internally. Since the 200 ohm load appears as 50 ohms when fed with a 100 ohm 1/4WL line, there is a match and all the power appears at the load. In that case I agree with your 70.7 volts since 100 W into 50 ohms will result in that voltage. But I have no need of reflections. The fact that a 200 ohm load appears as a 50 ohm load at the input of a 1/4WL 100 ohm line takes care of all that for me. 73, John Sorry John, you can't cut it without the reflections. They may be invisible to you, but they're there doing the work. The 1/4wl line transformer works only with reflections. If you'll give me your email address I'll send you a graph showing how the reflections perform the matching. The actions of the reflections from either end of the transformer is what performs the matching function. The action of the reflections is as necessary to the function as breathing is to life. Believe it!!! Walt |
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