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#2
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Tom, W8JI wrote:
"You didn`t read something correctly." OK, here is the arithmetic. Radiation Resistance of a Short Electric Dipole: RR = 80 pi squared (L/lambda)squared Constant = 80 (8.97) = 790 But a short monopole has 1/2 the resistance of a short dipole. 790 / 2 = 395 All Reg asked for was the constant. Best regards, Richard Harrison, KB5WZI |
#3
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Richard,
Your calculation is OK as far as it goes. However, you overlooked the fact that "L" is different for the dipole and the monopole. The monopole has 1/2 the length of the dipole or 1/4 the length squared. The coefficient Reg asked for is therefore 4 times the number you quoted. 73, Gene W4SZ Richard Harrison wrote: Tom, W8JI wrote: "You didn`t read something correctly." OK, here is the arithmetic. Radiation Resistance of a Short Electric Dipole: RR = 80 pi squared (L/lambda)squared Constant = 80 (8.97) = 790 But a short monopole has 1/2 the resistance of a short dipole. 790 / 2 = 395 All Reg asked for was the constant. Best regards, Richard Harrison, KB5WZI |
#4
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![]() Gene Fuller wrote: Richard, Your calculation is OK as far as it goes. However, you overlooked the fact that "L" is different for the dipole and the monopole. The monopole has 1/2 the length of the dipole or 1/4 the length squared. The coefficient Reg asked for is therefore 4 times the number you quoted. 1.) He could have gotten length correct and assumed current was triangular. That would reduce radiation resistance by a factor of four. 2.) He could have assumed uniform current and gotten length wrong by a factor of two, and that would reduce radiation resistance by a factor of four. |
#5
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Richard Harrison wrote:
Tom, W8JI wrote: "You didn`t read something correctly." OK, here is the arithmetic. Radiation Resistance of a Short Electric Dipole: RR = 80 pi squared (L/lambda)squared Constant = 80 (8.97) = 790 But a short monopole has 1/2 the resistance of a short dipole. 790 / 2 = 395 All Reg asked for was the constant. If you'll read more in the chapter of Kraus you're quoting, you'll notice that L is the length of the dipole, not the length of a monopole. Do the proper substitution and you'll get the correct answer. Roy Lewallen, W7EL |
#6
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Roy, W7EL wrote:
"Do the proper substitutionn and you`ll get the correct answer." Yes. The warning also appears on page 137: "In developing the field expressions for the short dipole, which were used in obtaining (5-56), (5-56) is the value of radiation resistance, the restriction was made that lambda is much larger than the length of the dipole L." No problem there, Reg specified a short monopole. Kraus does a sample calculation for a short dipole. I used Kraus` data and got the same answer when duplicating his calculation. But Reg was not asking for an answer to a specific problem. Reg was asking for the value of the constant in a formula of the same form. Kraus gives it as 80 pi squared for a dipole.. This is 790. We know that a monopole has half the resistance of a dipole. Example: 73 ohms and 36.5 ohms. 790 / 2 = 395. That`s not a resistance, it is only the value of a constant which must be multiplied by (L/lambda) squared to give the radiation resistance of a very short monopole. Best regards, Richard Harrison, KB5WZI |
#7
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#8
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Owen Duffy wrote:
Is that for uniform current as Reg asked? Reg asked for "uniformly distributed current". I took that to mean having a constant slope. Wonder what Reg really meant? -- 73, Cecil http://www.qsl.net/w5dxp |
#9
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On Sun, 12 Mar 2006 20:46:21 GMT, Cecil Moore wrote:
Owen Duffy wrote: Is that for uniform current as Reg asked? Reg asked for "uniformly distributed current". I took that to mean having a constant slope. Wonder what Reg really meant? In the context of his use, I think the most probably reasonable interpretation of Reg's words is that the current is uniform at all points on the radiator. Yes, it does also have a constant slope (of zero), so you will ba able to argue a correct interpetation either way, even if the results are different. It was interesting how many different interpretations were made, and then how many different answers to such a simple questions, even a text book incorrectly quoted (yes, subject to your interpretation of Richard's interpretation of what was in Reg's mind. Reg will no doubt chuckle when he wakes in the morning. Owen -- |
#10
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Owen Duffy wrote:
Yes, it does also have a constant slope (of zero), so you will ba able to argue a correct interpetation either way, even if the results are different. OK, I will change my statement to a "constant non-zero slope". I really think that what's Reg meant but obviously only Reg's opinion is important on that matter. :-) Reg will no doubt chuckle when he wakes in the morning. :-) When I chuckle with a hangover, it hurts. :-) -- 73, Cecil http://www.qsl.net/w5dxp |
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