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Richard Harrison wrote:
Owen Duffy wrote: "In the same vein, I saw an assertion without sufficient qualification that in a transmission line, 50% of the energy is stored/contained in the electric field and 50% in the magnetic field. Again, general statements from specified cases." Now we accept that energy travels a guided path as an EM wave. The electric and magnetic fields of a wave alternately contain the energy of the wave. When the electric-field is at its maximum, the magnetic-field is at its minimum, and vice versa. In addition: Assuming ideal TEM waves, the B-field (magnetic) is always orthogonal to the E-field (electric) and both are orthogonal to the direction of travel. The power associated with the ideal TEM wave is ExB in watts (no vars). A TEM wave travels at the c' = c(VF) speed of light and cannot travel at any other speed. If it slows down or stops, it is not longer a TEM wave and has necessarily been converted to some other form of energy. Energy "sloshing" back and forth between reactances is NOT TEM energy. The principle of superposition gives us permission to treat the forward traveling wave and reverse traveling wave separately and superpose the results. Superposing the results does NOT change the nature of the TEM waves. The fact that the net total fields are no longer orthogonal gives the illusion that there exist vars in the circuit but they are only virtual vars based on virtual voltages and virtual currents. There are no vars in ideal TEM waves in ideal lossless purely resistive Z0 transmission lines. The forward traveling wave TEM fields have no effect on the reverse traveling wave TEM fields as long as a physical impedance discontinuity is not encountered. -- 73, Cecil http://www.w5dxp.com |
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