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Owen Duffy wrote:
Cecil Moore wrote in EM wave energy necessarily travels at the speed of light. There is exactly the amount of EM wave energy contained in a transmission line to support the forward power and reflected power. You are not suggesting that the energy contained in a transmission line in the steady state in the general case is constant, are you? Obviously, a leading question. :-) I'm not talking about instantaneous values here. All my statements apply only to values averaged over an integer number of RF cycles in one second. What I am saying is that a transmission line obeys the conservation of energy principle. Whatever energy has not gone somewhere else is still in the transmission line and is exactly the sum of the energy required by the forward wave plus the energy required by the reflected wave. The steady-state energy stored in a transmission line with reflections is greater than the steady- state energy delivered to the load. The extra energy was sourced during the transient build-up state and has not yet been delivered to the load. The argument that 100 watts in and 100 watts out (during steady- state) doesn't leave any energy left over for the reflected waves is invalid. Below I give an example of 100 watts in and 100 watts out with 300 joules stored in the forward and reflected waves. I think it would be safe to say that for any one- wavelength section of line, the average energy content is constant during steady-state and is exactly the amount of energy required to support the forward traveling wave and reflected traveling wave. Here's a graphic that I earlier provided that illustrates the energy buildup to steady-state. http://www.w5dxp.com/1secsgat.gif -- 73, Cecil http://www.w5dxp.com |
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