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#121
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Reg, G4FGQ wrote:
"What do photons have to do with winning a contest?" I don`t know. But, B.Whitfield Griffith, Jr. has some observations in "Rado-Eledtronic Transmission Fundamentals" that may be a useful check on your computations. I expect he checked, rechecked, then checked again before publication. He put a transmitter on an elemental antenna but it would work the same in reverse. From page 325: "An Elemental Antenna Since the length of an antenna is commonly expressed in electrical degrees and since this allows the convenient use of trigonometric tables in computing the ratios of currents in various parts of an antenna, let us choose as our elemental antenna a piece of wire which is 1-degree in length and in which the current is constant from one end to the other.We shall first assume that this elemental antenna is located far out in space, so that its field is not disturbed by reflections from the surface of the earth or from any other object. This, of course, is a most improbable set of conditions, but we can certainly imagine that we have a situation such as this and compute from the field equations its electromagnetic result. These computations will show, first of all, that the maximum field intensity will be produced in the directions which are at right angles to the direction of current flow. This is a reasonable result, since the magnetic field which is produced by the current surrounds the wire in concentric rings and thus gives rise to a radiation field which moves outward at right angles to the wire. As a matter of fact, the field intensity, measured according to our standard procedure at a distance of 1 mile in any direction from the radiating element, will be found to be proportional to the sine of the angle between the direction of the current flow and the direction in which the measurement is taken. If we represent the field intensity at 1 mile in any direction by the length of a vector starting at the center of the element and extending in that direction, the tips of the vectors will mark out the radiation pattern of the antenna element. A cross section of the entire radiation pattern of this element is shown in Fig. 39-2; the entire pattern would be obtained by rotating the figure about the axis of the antenna element. But this pattern tells us only the relative signal strength in various directions; it is a normalized pattern, with the intensity in the direction of maximum radiation being considered simply as unity. We need much more information than this; we must know the relationship between the current and the actual value of the field it produces. Further computation from the field equations gives this relalationship; we find that a current of 1 amp flowing in the antnna element will produce a field intensity of 0.3253 mv/m at a distance of 1 mile iin the direction of maximum radiation. We have said nothing about the frequency, and we do not need to; as long as the wavelength is shorter than 1 mile, so that there are no serious induction-ffield effects to upset our calculations, this figure will be correct at any frequencyfor which the length of the element is 1/360 wavelength. The field intensity of the elemental antenna is directly proportional to the current. Therefore, if the current in the element is 15 amp, the field intensity will be 15 X 0.3253, or 4.8795, mv/m at 1 mile. Similarly, the field intensity is directly proportional to the length of the element; an element which is 2-degrees in length, carrying a current of 1 amp, will thus produce a maximum field intensity of 0.6506 mv/m at 1 mile. Best regards, Richard Harrison, KB5WZI |
#122
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Richard Harrison wrote:
I don`t know. But, B.Whitfield Griffith, Jr. has some observations in "Rado-Eledtronic Transmission Fundamentals" that may be a useful check on your computations. I expect he checked, rechecked, then checked again before publication. He put a transmitter on an elemental antenna but it would work the same in reverse. From page 325: Yes, it should. . . . . . . We need much more information than this; we must know the relationship between the current and the actual value of the field it produces. Further computation from the field equations gives this relalationship; we find that a current of 1 amp flowing in the antnna element will produce a field intensity of 0.3253 mv/m at a distance of 1 mile iin the direction of maximum radiation. . . The field intensity of the elemental antenna is directly proportional to the current. Therefore, if the current in the element is 15 amp, the field intensity will be 15 X 0.3253, or 4.8795, mv/m at 1 mile. Similarly, the field intensity is directly proportional to the length of the element; an element which is 2-degrees in length, carrying a current of 1 amp, will thus produce a maximum field intensity of 0.6506 mv/m at 1 mile. A short dipole antenna with 1 amp of current at the center has an average of 0.5 amp of current along the whole length. So it should be obvious from the above analysis that the field from a dipole is half the field from the elemental antenna with uniform current which the author is discussing. Or, instead of just taking the average, you can integrate I * delta L to get the same result. Roy Lewallen, W7EL |
#123
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![]() Richard Harrison wrote: Reg, G4FGQ wrote: "What do photons have to do with winning a contest?" I don`t know. But, B.Whitfield Griffith, Jr. has some observations in "Rado-Eledtronic Transmission Fundamentals" that may be a useful check on your computations. I expect he checked, rechecked, then checked again before publication. He put a transmitter on an elemental antenna but it would work the same in reverse. From page 325: "An Elemental Antenna Since the length of an antenna is commonly expressed in electrical degrees and since this allows the convenient use of trigonometric tables in computing the ratios of currents in various parts of an antenna, let us choose as our elemental antenna a piece of wire which is 1-degree in length and in which the current is constant from one end to the other.We shall first assume that this elemental antenna is located far out in space, so that its field is not disturbed by reflections from the surface of the earth or from any other object. This, of course, is a most improbable set of conditions, but we can certainly imagine that we have a situation such as this and compute from the field equations its electromagnetic result. These computations will show, first of all, that the maximum field intensity will be produced in the directions which are at right angles to the direction of current flow. This is a reasonable result, since the magnetic field which is produced by the current surrounds the wire in concentric rings and thus gives rise to a radiation field which moves outward at right angles to the wire. As a matter of fact, the field intensity, measured according to our standard procedure at a distance of 1 mile in any direction from the radiating element, will be found to be proportional to the sine of the angle between the direction of the current flow and the direction in which the measurement is taken. If we represent the field intensity at 1 mile in any direction by the length of a vector starting at the center of the element and extending in that direction, the tips of the vectors will mark out the radiation pattern of the antenna element. A cross section of the entire radiation pattern of this element is shown in Fig. 39-2; the entire pattern would be obtained by rotating the figure about the axis of the antenna element. But this pattern tells us only the relative signal strength in various directions; it is a normalized pattern, with the intensity in the direction of maximum radiation being considered simply as unity. We need much more information than this; we must know the relationship between the current and the actual value of the field it produces. Further computation from the field equations gives this relalationship; we find that a current of 1 amp flowing in the antnna element will produce a field intensity of 0.3253 mv/m at a distance of 1 mile iin the direction of maximum radiation. We have said nothing about the frequency, and we do not need to; as long as the wavelength is shorter than 1 mile, so that there are no serious induction-ffield effects to upset our calculations, this figure will be correct at any frequencyfor which the length of the element is 1/360 wavelength. The field intensity of the elemental antenna is directly proportional to the current. Therefore, if the current in the element is 15 amp, the field intensity will be 15 X 0.3253, or 4.8795, mv/m at 1 mile. Similarly, the field intensity is directly proportional to the length of the element; an element which is 2-degrees in length, carrying a current of 1 amp, will thus produce a maximum field intensity of 0.6506 mv/m at 1 mile. Best regards, Richard Harrison, KB5WZI How did you get .3253 mv/m at 1 miles? Dave |
#124
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How did you quote damned near 75 lines of text to ask a 9 word question?
Jim "EE123" wrote in message oups.com... Best regards, Richard Harrison, KB5WZI How did you get .3253 mv/m at 1 miles? Dave |
#125
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EEE 123 wrote:
"How do you get .3253 mv/m at 1 mile?" The formula to calculate the field strength produced by an dlementaarry doublet is difficult for me to reproduce with my keyboard. It is found on page 770 of Terman`s 1943 "Radio Sngineers` Handbook. In my prior posting, Griffith hhas done the work for us. Best regards, Richard Harrison, KB5WZI |
#126
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Reg, G4FGQ wrote:
"Just a number please." Given 1 volt per m as the field strength, and a 1-m antenna parallel to the electric vector of the wave, the open-circuit voltage at the end of the wire is 1 volt. The best you can get across the receiver input is 0.5 volt when there is a conjugate match between the receiver and the antennna. Most of the explanations are irrelevant when the field strength is specified at the antenna. Terman preached scientific gospel. He had proof to back what he said. In Terman`s 1943 "Radio Engineers` Handbook" he wrote: "The strength of a radio wave is expressed in terms of the voltage stress produced in space by the electric field of the wave, and is usually expressed in either millivolts or microvolts stress per meter. The stress expressed this way is exactly the same voltage that the magnetic flux of the wave induces in a conductor one meter long when rhe wave sweeps across the conductor with the velocity of light." This is found on page 770. There is no qualification or equivocation. Terman also posts the same statement with no change in substance on page 2 of his 1955 edition of "Electronic and Radio Engineerinng". It means what it plainly says. Best regards, Richard Harrison, KB5WZI |
#127
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Richard (Harrison)
I'm sorry Richard, you have not anwered my question. I will repeat it. "What is the voltage measured between the bottom end and ground of a 1metre high vertical antenna when the field strength is 1 volt per metre?" Assume a perfect ground and antenna height is much less than 1/4-wavelength. A measured voltage is always relative to or is between TWO specified points. ---- Reg, G4FGQ |
#128
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Reg Edwards wrote:
. . . A measured voltage is always relative to or is between TWO specified points. And when measuring in the presence of a time-varying H field, those two specified points have to be physically very close together. Roy Lewallen, W7EL |
#129
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Richard Harrison wrote:
Reg, G4FGQ wrote: "Just a number please." Given 1 volt per m as the field strength, and a 1-m antenna parallel to the electric vector of the wave, the open-circuit voltage at the end of the wire is 1 volt. Relative to what? The other terminal has to be extremely close to the end of the wire in order for the voltage to be single valued. The best you can get across the receiver input is 0.5 volt when there is a conjugate match between the receiver and the antennna. Sorry, that's not just a little wrong, it's wrong by orders of magnitude. For example, a 1 meter long 10 mm diameter dipole, terminated in the complex conjugate of its self impedance (load Z = 0.8855 + j6030 ohms), in a 1 V/m field, has about 1667 volts across the load. Hardly a half volt! . . . Roy Lewallen, W7EL |
#130
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Roy Lewallen wrote:
. . . Sorry, that's not just a little wrong, it's wrong by orders of magnitude. For example, a 1 meter long 10 mm diameter dipole, terminated in the complex conjugate of its self impedance (load Z = 0.8855 + j6030 ohms), in a 1 V/m field, has about 1667 volts across the load. Hardly a half volt! For the casual reader, I should emphasize that this analysis, like all the others on this thread, assumes zero loss. The conditions I described could never be achieved in real life because of unavoidable loss. But it's important to first understand how a lossless system behaves before we add the complicating factor of loss. Roy Lewallen, W7EL |
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