.... The reason I used it was to break a "Myth" - I had heard several, including College Tutors, stating the double helix R1 + R2 test resistance method giving exactly the true R1 + R2 at any point. I worked it out and it varied approx 6% I think, so I stated it should not read "exactly" but be substituted by the word "substantially" because using 91 metres as a max ring length the difference in theory to reality was not actually great and might well be dwarfed by field errors and meter reading accuracy anyhow. Some might have thought (quite rightly probably) that I was being a pedantic git, however I objected to the dogmatic stating of "exactly" in some quarters.
It's not for me to say whether you are a pedantic git! However, whilst I do not doubt what you say about some College Tutors (and others), for what it's worth, my (albeit fairly ancient) copy of GN3
does say that the 'double helix' method gives
substantially the same readings at all sockets on a ring (which is very true, any differences being very small- see below), but it then goes on to saying, seemingly incorrectly, that this is equal to
approximately one quarter of r1+r2 (whereas it should presumably say 4 times, not 'one quarter').
It then goes on to say that the maximum value measured (which would be at the furthest point from origin of the ring) represents the RI+R2 which should be recorded on the Schedule of Results - but, again, it presumably should be one quarter of the measured value which is recorded as the (maximum) R1+R2.
I find this all a bit confused/confusing. Quite apart from that apparent "quarter vs. 4 times" error, they do not initially make it clear that, although the 'double helix' measurement is 'substantially the same' at all sockets, R1+R2 most certainly won't be - in fact it will approach zero as one approaches an end of the ring. Hence, as they go on to say/imply, if one wants the 'maximum R1+R2' one has to find the socket with the highest 'double helix' measurement (and divide, not multiply, it by 4 to get 'max R1+R2').
The graph and tabulation below show 'the truth'. They illustrate the very small reduction in 'double helix' measurement as one moves from centre of ring towards an end of the ring, and also how actual R1+R2 varies across the length of the ring.
I don't understand what is said to be 'approximate' about a 'one quarter of double helix' measurement at the middle of the ring as a measure of R1+R2 at that point - as can be seen it is
exactly equal to true R1+R2.
What I don't really understand is why, if one wants to determine the true R1+R2 at the most distant socket ('
exactly', within the limits of accuracy of the measuring equipment), one doesn't just leave the ring intact, join L and CPC at the origin of the circuit and then
measure the actual R1+R2 at the socket of interest.
Kind Regards, John