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Roy Lewallen wrote in message ...
I think I've done about as much as I can here, and the time spent is getting out of proportion to the communication achieved. It's time for someone else to take a crack at it, or for it to be taken to another newsgroup. Roy Lewallen, W7EL Thanks for your input Roy. Slick |
#22
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Roy Lewallen wrote in message ...
But by definition, the E field is definitely related to voltage potential. Well, yes, speed (meters per second) is related to distance. Force (Newtons) is related to work (Newton-meters). But speed isn't distance, and force isn't work. The mass of the Earth is related to its orbital velocity, and mass certainly isn't velocity. Worse yet, the impedance of free space isn't a measure of the same thing as the characteristic impedance of a transmission line. What I'm trying to illustrate is that because two things are related doesn't make them the same thing, or necessarily even close to the same thing. I never said that the E field IS a voltage, only that they are related, and that you can measure the strength of the E field by measuring voltages, which is what you really do with a field strength meter anyways. Say PD = E^2/Z0 = H^2 * Z0. If you say the Power Density = V^2/(R*m^2), and the R=Zo, then these will cancel, giving you E = V/meter, which are the correct units. So here we are equating the impedance of free space will a resistive impedance or load. No, all you're doing is showing that they have the same dimensions. It just doesn't seem to be sinking in that having the same dimensions doesn't make two quantities the same thing. I've tried with the example of torque and work, but that doesn't seem to be having any effect. Maybe someone else can present some other examples, and maybe, just maybe, with enough examples the concept will sink in. Are you saying that Newton*Meters are different depending on the situation? I don't think so. A Newton is a Newton. A meter should always be a meter. And an Ohm should always be an Ohm. I'm not saying that the impedance of free space is relating voltage to current, because there is no current flow in free space. But why do they use the same units (Ohms) to describe the relation of the E field to the H field? Hugh Skilling - "Intrinsic impedance is somewhat analogous to the characteristic impedance of a transmission line. It has the dimensions of Ohms, for the E is Volts/Meter and H is Amperes/meter." Perhaps I'm asking the wrong NG. But electric field is actually defined in terms of the force on a charge. You'll find an explanation in any basic physics text, as well as many places on the Web. In Weidner and Sells, _Elementary Classical Physics_, Vol. 2, the authors define electric field E as F/q, or the force that would be exerted on a (sufficiently small) charge at the point at which the field is being measured. They explain that the units of electric field are newtons per coulomb which, it turns out, has the same dimensions as volts per meter. So to your argument that electric field is "related" to voltage, it's equally related to distance, force, and charge. You can, in fact, find a bundle of other equivalent products and quotients of units that are equivalent. The E field is certainly related to all these things. If you could somehow accurately measure the repelling force on a unit positive charge, that a static positive charge exerts upon it, then you would know what the E field is in Newtons/Coulomb, which would also be the Volts/meter. If you could also measure the voltage potential of this unit positive charge in the same positive field, at two different points that are 1 meter apart (normal to the gradient of the E field), then you should get the same answer as above. This second situation is what i'm asking about when i say where would the 1uV be measured. But in the real world, it would seem that most field strength meters have amplifiers (LNAs) either before or after rectification by Schottky diodes. A field strength meter seems to relate the received power with the field strength, but not actually measuring the uV/meter directly. Certainly they must calibrate these instruments with a known amount of power into an antenna of known characteristics, in an anechoic chamber, at a fixed distance away, etc. Here we are again. Potential and voltage have the same dimensions, but aren't necessarily equal. And as far as I can tell, "voltage potential" is meaningless. To quote from Holt, _Electromagnetic Fields and Waves_, "When the electromagnetic fields are static, as we shall see, the voltage drop along a path equals the potential drop between the end points of the path. Furthermore, these quantities [voltage and electric potential] are also equal in *idealized* electric circuit diagrams, and they are approximately equal in physical circuits, provided voltmeter leads do not encircle appreciable time-changing magnetic flux." Pay particular attention to the last qualification. When a time-changing magnetic field is present, the voltage drop between two points depends on the path taken, while the potential drop is simply the difference in potential between the two points. So the voltage between two points in an electromagnetic field can be just about anything you'd like it to be. I was simplifying the situation with the static E field case, but the change of 1uV for every meter moved normal to the gradient of the field can also apply to the AC situation, except that the +/- 1uV would apply the RMS values. RF isn't any more nebulous than any other aspect of engineering. Engineering is a practical discipline, so compromises and trade-offs are universally necessary. Because we deal with real, physical objects and are stuck with real measurements, the absolute precision of mathematics and the pure sciences is never attainable. This is as true for using an I-beam as it is for RF design. But the principles of RF are at least as well known as the properties of I-beams. In fact, a good argument could be made that RF is better known. Roy Lewallen, W7EL You wrote: "(The far field boundary depends on the nature of the radiating structure, and is nebulous anyway.)" So i used the word "nebulous" after you did. You're talking to a B.S. in Mechanical, so i know a bit about I-beams, but i've done only RF since college, so I'm more of a EE now. Among the Top Ten blunders of my life: not doing Electrical. Slick |
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