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#1
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I know free space half wave dipole length in feet is 492/f mhz.
I also know 468/f mhz is for "antenna cross section...stray capacitance...called end effect because the ends of the antenna are made farther apart electrically than they are physically..." as laid out in the "Practical Antenna Handbook 3rd edition p.138". This is suspiciously close to the 95% velocity propagation of parallel line. My question is, for a given coax with 66% velocity propagation, is the formula 66% of 492 (325/f) or 66% of 468 (309/f)? Thanks in advance |
#2
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Gee what are these "feet" things? grin (I use 300/f for free space -
for metres) Velocity factor in coax is vs free-space. If you are using these numbers for calculating tuned lengths keep in mind that the manufacturing tolerance for velocity factor is not real accurate and you should cut/tune with a GDO/TDR etc. From my reading I have seen dipole end effect vary between 90 and 98%. Almost always a function of length/diameter ratio. Cheers Bob VK2YQA Tac wrote: I know free space half wave dipole length in feet is 492/f mhz. I also know 468/f mhz is for "antenna cross section...stray capacitance...called end effect because the ends of the antenna are made farther apart electrically than they are physically..." as laid out in the "Practical Antenna Handbook 3rd edition p.138". This is suspiciously close to the 95% velocity propagation of parallel line. My question is, for a given coax with 66% velocity propagation, is the formula 66% of 492 (325/f) or 66% of 468 (309/f)? Thanks in advance |
#3
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Tac wrote:
"My question is, for a given coax with 66% velocity propagation, is the formula 66% of 492 (325/f) or 66% of 468 (309/f)?" VF, velocity factor, is % of the free-space velocity of a radio wave which is identical to that of light. Velocity of light is about 300,000,000 m/sec. Wavelength in free-space is: WL= 300,000,000 / f meters There are about 3.28 feet in a meter. Polyethylene insulated flexible coax cables usually have a velocity of propagation of about 66% that of free-space. Velocity depends on cable dimensions as well as its insulating material and distribution. In my ARRL Antenna Book, the length in feet for a 1/2-wave dipole is given as 468/f (MHz). As 1/2-wave= 150/f (MHz) x 3.28 ft/mtr=492/f (MHz), it is clear the handbook formula has been discounted by 5% for "end effect", which is actually a function of how fat the wire used is, and relates to wave velocity reduction. Best regards, Richard Harrison, KB5WZI |
#4
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A half wavelength in a transmission line with velocity factor of 66% is
approximately 0.66 * 492/f(MHz). Here's why. Wavelength = v / f where v is the velocity of electromagnetic waves and f is the frequency in Hz. v = c * vf where c is the velocity of light in free space and vf is the velocity factor. The velocity of light in free space (c) is approximately 984,000,000 feet/second. So one wavelength, in feet, in any medium is approximately 984,000,000 * vf / f(Hz), or 984 * vf / f(MHz). A half wavelength is then half of this, or about 492 * vf / f(MHz) feet. A resonant "half wave" antenna is always shorter than a free-space half wavelength for a variety of reasons. Its actual length depends on wire diameter, end insulators, the effect of ground, and so forth. 468/f is a useful approximation that's usually in the ballpark but seldom exactly correct. Roy Lewallen, W7EL Tac wrote: I know free space half wave dipole length in feet is 492/f mhz. I also know 468/f mhz is for "antenna cross section...stray capacitance...called end effect because the ends of the antenna are made farther apart electrically than they are physically..." as laid out in the "Practical Antenna Handbook 3rd edition p.138". This is suspiciously close to the 95% velocity propagation of parallel line. My question is, for a given coax with 66% velocity propagation, is the formula 66% of 492 (325/f) or 66% of 468 (309/f)? Thanks in advance |
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