The cables are not run at their maximum current carrying capacity, far from it. So the table 4D2B in BS7671, which gives the volt drop of a 2-conductor 4mm² cable as 11mV/A/m is inappropriate. The resistance of a 4mm² copper conductor at 20°C is 4.6mΩ/m, so I’ve used this figure. Of course, there are two conductors per cable so the volt drop per m of cable is 9.2mV.
So volt drop = 5A X 24m X 4.6mΩ/m X 2 conductors / 1000 = 1.1V
Indeed. As you will have seen, we did eventually work this out ourselves in your absence. However, the approach you've suggested does raise a very interesting question - since (reasonable though it sounds) it's not an approach I've seen being used ....
Lighting circuits in domestic installations invariably run their cables at far less than their maximum current-carrying capacity. With all CFL's, the load is often going to be no more than 10% of so of CCC, and even traditional incandescent installations probably rarely more than 25% or so. Even if one assumes that a 5A/6A lighting circuit is loaded right up to the I
n of its OPD, we're still in the 35%-50% (of CCC) range with 1mm² cable and maybe 25%-30% with 1.5mm².
However, when it comes to doing VD calculations, people (other than you, it seems) almost invaraibly seem to look to Table 4D2B for their resistivity/VD figures. As you have illustrated, the difference between 20 degrees and 70 degrees is not trivial (9.2 mΩ/m vs. 11m Ω/m for two 4mm² conductor, a difference of 16-20% {depending on which way you look at it}), so can lead to quite significantly different VD calculations.
I would certainly question to appropriateness of designing on the basis of 20 degrees - even in the UK, and even with no current flowing in the cable, ambient temperatures of 30 degrees or more are far from impossible. However, it would seem that, now you have put the thought into my mind, it would nearly always be reasonable to calculate on the basis of a temperature considerably less than 70 degrees. Do people actually do this, since I can't say I've ever seen it done? It might be of particularly value to people who have long outdoor lighting circuits.
Kind Regards, John.