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#1
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It seems reasonable that if I have an open ended transmission line that the
current would reflect back and change phase. After all, the electrons at the end have nowhere to go but back down the line. However, the voltage is a different matter. There is no phase reversal (or polarization change) There doesn't seem to be an intuitive reason for this. However, if one examines the equations for current and capacitive voltage, then it falls out of the math. Still, where is the non-math that indicates this is true? Now suppose instead the line is short circuited. The voltage returns down the line, and the current does not. In this case, there doesn't seem to be any non-math or intuitive feel for why the short should cause this--either for voltage or current. Can one clue me in on what's really happening above (voltage) and here (voltage and current)? Inquiring minds want to know. Wayne T. Watson (Watson Adventures, Prop., Nevada City, CA) (121.015 Deg. W, 39.262 Deg. N) GMT-8 hr std. time) Obz Site: 39° 15' 7" N, 121° 2' 32" W, 2700 feet -- "I often quote myself - it adds spice to my conversation." - George Bernard Shaw Web Page: home.earthlink.net/~mtnviews |
#2
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W. Watson wrote:
"It seems reasonable that if I have an open ended transmission line that the current would reflect back and change phase." That`s about what happens. In fact, the incident and reflected waves at an open circuit have voltages of the same phase and magnitudes. These correspond to a reflection coefficient of 1 on an angle of zero. The result is a doubling of the incident value of voltage at the open circuit. I recall this being called "the Ferranti effect". It stands to reason that energy is not created or destroyed but the ebergy associated with the H-field must go somewhere when the current stops. The only place it can go is into the E-field, so this accounts for the instantaneous voltage doubling at the open circuit. The current reverses direction and its incident and reflected values add to zero at the open end of the line. When either voltage or current has a phase reversal, but not both are reversed, a reversal of wave travel direction is indicated. The same thing happens at a short circuit but it is the voltages which add to zero, indicating its phase reversal at the short. When both current and voltage are reversed in phase, no change in travel direction is indicated as this happens regularly in the cycle of the wave. Best regards, Richard Harrison, KB5WZI |
#3
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W. Watson wrote:
It seems reasonable that if I have an open ended transmission line that the current would reflect back and change phase. After all, the electrons at the end have nowhere to go but back down the line. However, the voltage is a different matter. There is no phase reversal (or polarization change) There doesn't seem to be an intuitive reason for this. However, if one examines the equations for current and capacitive voltage, then it falls out of the math. Still, where is the non-math that indicates this is true? The forward current hits an open-circuit. The net current is zero. Therefore, the reflected current must be equal in magnitude and opposite in phase to the forward current at the open-circuit. Since the net current goes to zero, i.e. the magnetic field goes to zero, all the energy existing at that point must migrate into the electric field thus increasing the voltage. And indeed, the voltage doubles at an open-circuit indicating that the reflected voltage is equal in magnitude and phase to the forward voltage. A simple RF voltage measurement at the open- circuit will prove that the above is true. Now suppose instead the line is short circuited. The voltage returns down the line, and the current does not. In this case, there doesn't seem to be any non-math or intuitive feel for why the short should cause this--either for voltage or current. Can one clue me in on what's really happening above (voltage) and here (voltage and current)? Inquiring minds want to know. It's (surprise) the reverse of an open-circuit. The net voltage goes to zero at the short indicating that the electric field is zero at that point. Therefore, all the energy existing at that point migrates into the magnetic field. The reflected voltage is therefore equal in magnitude and 180 degrees out of phase with the forward voltage. And, indeed, the current at the short is double the magnitude of the forward current indicating that the forward current and reflected current are equal in magnitude and phase at a short circuit. RF voltage and current measurements prove it to be true. -- 73, Cecil, http://www.qsl.net/w5dxp |
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