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K7ITM wrote:
Just as we can make a short antenna resonant by adding a loading coil, and the loading coil may be placed anywhere along the antenna if an appropriate coil is chosen, we can make a long antenna resonant by inserting a series capacitance along the antenna wire. When that physically long but electrically shortened to resonance antenna is excited and a standing wave pattern develops, what is the phase shift of the current through the loading capacitor? Is the standing wave current on the two sides of the capacitor different, in a manner similar to how it's different in a loading coil? If not, why not? Cheers, Tom Is it not true that any two conductors can be modeled as either a transmission line or a capacitor? At this level, there appears to be analytic symmetry with a series loading coil. Chuck |
#2
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K7ITM wrote:
SNIPPED ... Agree a capacitor tunes an 'long' antenna to resonance. When that physically long but electrically shortened to resonance antenna is excited and a standing wave pattern develops, what is the phase shift of the current through the loading capacitor? Is the standing wave current on the two sides of the capacitor different, in a manner similar to how it's different in a loading coil? SNIPPED What's this current phase shift through a capacitor? I believe it is a voltage phenomena. The incident and reflected waves induce voltage at the capacitor terminals. In HF systems the capacitor is very physically small, and the lumped model should suffice. [There is no long length of wire to confuse the model]. A vertical antenna has a characteristic impedance, depending on ground effects, proximity effects, etc. of somewhere between 200 and 500 ohms, typically 350 +/- ohms.[ It's been a long time since I calculated the nominal value, but for basic understanding just use antenna Zo]. Apply a stimulus to the antenna and the signal propagates along the antenna governed by it's Zo. [Not the Zo of the transmission line at this point]. So, at the incident input side of the capacitor there is a v that is the integral of current [incident] times time. This voltage lags the incident current. At the reflected input side there is a voltage that is the integral of I [reflected] times time. This current is the reflected value and spatially delayed by the propagation time from the capacitor to the end of the antenna. This voltage lags the reflected current. The net voltage across the capacitor is the spatial sum, NOTE: Spatial Sum, of the two voltages. Assuming To at the incident current input to the capacitor then the problem is simplified to the spatial [propagation delay to the end of the antenna and return]. So, current phase shift in the capacitor may be asking the wrong question. |
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