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Cecil Moore wrote:
The decrease (drop) in current across a loading coil installed in a standing-wave antenna does NOT in any way violate Kirchhoff's current law. True. One can imply from Kirchhoff's current law that there is no current decrease (drop) across a point. By 'point' I believe you are referring to what is commonly referred to as a node. Kirchoff's current law stipulates that charge may not accumulate at nodes. Therefore by definition, any feature of the system where charge accumulation needs to be considered is not a node. This makes sense since charge must accumulate on a surface (surface charge density) (coul / meter squared) or in a dielectric volume (volume charge density) (coul / meter cubed). Both concepts require some sort of area or volume which is inconsistant with the notion of a node. I don't know anyone who disagrees with that so any argument is just a straw man. Kirchhoff never said the current at one point in a network had to equal the current at another point in the network. The currents through two nodes connected in series, without branches, is identical. I think that fact was established before Kirchoff but it's certainly stipulated in circuit theory. Many patches have been added to the DC circuit model to try to adapt it to RF networks. Many? Seems to me that the concept of electric displacement introduced by Maxwell provides everything needed to extend DC theory all the way through classical electromagnetics. What am I missing? Some function after a fashion and some fail utterly. Like what? We all need to be able to recognize the difference. For EM waves, the E-field and H-field are often affected in the same way. Huh? Saying that the E-field voltage drops but the H-field current doesn't drop is simply nonsense. Saying the electric field voltage drops is nonsense. Voltage is the scalar potential defined as the electric potential difference between two points in space. The electric field is vector field, characterized as having a field strength in volts per meter dependant on spatial location, direction, and perhaps time. I don't understand what the term 'E-field voltage drop' could mean. Same with 'H-field current drop'. Likewise, saying that the H-field current flows and the E-field voltage doesn't flow is nonsense. H-field current flows? The field H (amps per meter), is the so called magnemotive field. It doesn't flow anymore than voltage flows through a resistor, and is associated with the generation of magnetic flux. The magnetic flux density, B, has the units of webers per meter squared and can be integrated over an arbitrary surface to evaluate the total magnetic flux passing through that surface. Magnetic flux is somewhat analogous to current but H is not at all. The E-field and H-field are usually inseparable. In the classical electromagnetic model, E & H are completely separable. They are coupled via Faraday's law, and Maxwell's so called displacement current. At steady state (DC) no coupling exists. When one field quantity _varies_ in time, so will the other in accordance with the curl equations. The coupling described by the time varying part of the curl equations only involves the time varying components. When determining the analysis method used to gather insight into a physical system, one of the first considerations is to determine if the time varying field components need to be considered, and if so, which ones. For example, analysis of a 60 Hz power supply choke, or electric motor, usually ignores the electric field in the air gap arising from the time varying magnetic flux density. It's not important in the gap, but is the driver of undesirable eddy currents in the core laminations. bart wb6hqk |
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