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#11
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Keith wrote:
"Those 0 volts and currents can be measured." The phase of the incident wave at a distance from the generator is the phase that existed at the generator at an earlier time proportional to distance. Take a point on the signal traveling on a transmission line which is reflected back toward the generator. It encounters the later generated signal traveling toward the reflection point. Suppose the reflection is from an open circuit. At the open, incident and reflected waves have the same amplitude and phase. Their voltages add arithmetically. Open-circuit reaction reverses the phase of the reflected current, so incident and reflected currents add to zero. Back from the reflection, phase of the incident wave advances with distance. We see a signal which was generated more recently the farther back toward the generator we look. Back from the reflection, phase of the reflected wave lags with distance. We see a signal which was generated farther back in time the farther back toward the generator we look. At those fixed points on the transmission line where the incident and reflected voltages are exactly out-of-phase, they add to zero. At those fixed points on the transmission line where the incident and reflected voltages are exactly in-phase, they add to a double of the incident voltage. The forward (incident) and reflected waves retain their distinctions. But it takes a directional coupler to separate them. The pattern of standing waves is manifested by the sum of the forward and reflected waves. The forward wave consists of a voltage everywhere associated with a current equal to that voltage over Zo. The nature of the reflected wave is the same, except it travels in the opposite direction. Best regards, Richard Harrison, KB5WZI |
#12
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Keith wrote:
"So how does energy flow through a point in the circuit where the voltage or current is always 0?" The "0" is the sum of two voltages produced by adding together equal and opposite voltages in two waves which are passing through each other with no effect on each other. Conductors producing the volts and amps from the waves they carry are actually "bucket brigades". Distributed inductance and capacitance pass along charges in a travel direction, or in both directions. There is no problem as charges moving in opposite directions swell and shrink occupancy at certain spots on the line. They don`t overflow, and charges moving in each direction, like Ole Man River, they "jes keep movin` along". Best regards, Richard Harrison, KB5WZI |