You say that you are "using "the physics" - but they are very simple and the crucial thing you actually are 'using' is that number (1.68x10^-8 Ωm at 20C) which has come from somewhere' and, as EFLI has suggested, the figures quoted/asserted/whatever by different sources tend to vary slightly.Let's see if I can work this out using the physics: ..... The resistivity (rho(Cu)) of pure copper is 1.68x10^-8 Ωm at 20C.
I agree that reactance (and 'skin effect') will not be significant at 50Hz, but one thing you might be missing (even though you mention it) is that you are talking about 'pure copper' - it's certainly not going to be literally ("100%") pure (what, in the real world, is?!), and it may actually be appreciably 'impure' (even possibly 'deliberately'?).So the resistance per km at 25C of 2.5mm² copper is R = 1.714x10^-8 * 1000 / 2.5x10^-6 = 6.856Ω, This assumes pure Cu and DC but I would not expect significant reactive effects at 50Hz. .... I wonder where the other values come from? Or am I missing something?
Thanks. However, I don't think his/her "rule of 16" is either anything different from what we've been doing, or anything like the optimum "rule of thumb". He/she wrote:If you look on the IET Wiring and the Regulations Forum then MAPJ1 mentions "the rule of 16" which is some useful approximations of copper resistance amongst other things
For a start, for comparison with BS 7671 VD figures, it really becomes a "rule of 19" (since BS 7671 figures relate to 70°C, which I presume corresponds with 'running hot'). Also, for comparison with BS7671, the figures need to be doubled (because the BS 7671 fig relate to VD in two conductors) - so it becomes a "rule of 38".There is another way to check, the rule of 16, which is even more approximate. Namely that a single core 1mm cross -section and is 16 milliohms per metre at room temp (more like 19 when running hot)
I haven't read it, either, but I find what you suggest rather hard to believe (particularly 'maximum diameter').My understanding is that although we reffer to conductors by CSA, this is only nominal, the actual standard IEC 60228 defines them in terms of maximum diameter and maximum resistance. ... But this is second-hand info, I haven't read IEC 60228 personally.
Oh, fair enough, I didn't find any of the other "!6"s, only the one I quoted - so didn't realise that there was 'more' to his rules of thumb..Yes MAPJ1 does state that the 16 is often around 19 but I think he keeps it within his "the Rule of 16" as an easy to remember group of things 16ish along with 1.6 ,1/16" and 16 SWG too. An aid for a ready reckoner if you like.
Again, fair enough. A search for him by name on that forum found only 165 posts from him but, from what you're saying I might suspect that the truth would be one or two orders of magnitude greater than that? Anyway, I'll have a look!He is a very clever fellow, extremely knowledgeable and a very helpful chap and a much respected contributor to that forum. In fact he once sent me a few of the old type belt buckles for cables free of charge
So Part drum of 2.5mm² T&E. It predates living in present house - 1994.I think I have a drum of 2.5/1.0mm² T&E, If I think about it I'll measure the resistance.
I'm not sure anyone is being slapdash, as I see it we are using different sets of published figures and I assume that where things get rounded the errors creep in, in my last post my meter only reads to 2 dp so the error at a reading of 0.33Ω being 0.325 to 0.334 is considerable, then calculations based on those get rounded and suddenly adding say 3% error at each of several steps becomes unmanageable.Depends if you are happy being slap-dash or not.
Do you make a habit of stating something slightly wrong when you know what is correct?
Did you not work it out to verify? Both can't be right; 7.41 x 2.5 = 18.525. 18.10 / 2.5 = 7.24 so not just a rounding problem.So Part drum of 2.5mm² T&E. It predates living in present house - 1994.
Took 5 resistance readings each of red and black average 615mΩ / 7.41 or 82.996m according to my 2004 brown OSG
From that I can predict the resistance of the earth wire, OSG shows 18.10 using 83m = 1502.3mΩ or 615x2.5 = 1537.5mΩ
So Part drum of 2.5mm² T&E. It predates living in present house - 1994.
Took 5 resistance readings each of red and black average 615mΩ / 7.41 or 82.996m according to my 2004 brown OSG
From that I can predict the resistance of the earth wire, OSG shows 18.10 using 83m = 1502.3mΩ or 615x2.5 = 1537.5mΩ
So the first reading of 1.05Ω came as a surprise. straight away I assumed it's 1.5mm² earth and I'd made a mistake identifying the cable.
New figures; 1004.3mΩ and 1025.0mΩ
next8 readings averaged, (yes I continued just to make sure) 1.50366Ω so pretty close to OSG, closer than I should have hoped for.
Similar tests on a length of 1.5mm² T&E just a single test each 0.33Ω brown & blue = 27.27m. for 1mm²; OSG 493.64mΩ, calculate 0.33x1.5 = 0.495 my measurement of 0.49 is non conclusive.
Do I think there is cause for concern with any of the above? apart from the erroneous reading; no.
18.10 clearly correct in this particular test18.10 clearly not correct.
The error existed in expecting the resistance of 1.0mm² to be 250% of the resistance of 2.5mm² as opposed to the almost perfect match to the OSG quoted figures in this particular case, the test was only made due to the contents of this thread.So where was the error then?
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