Does anyone know what the formula is to determine the resulting wire gauge of two or more combined wires?
ie: What gauge are two 24ga wires once combined?
Tks,
Paul
ie: What gauge are two 24ga wires once combined?
Tks,
Paul
Two wires in parallel is equivalent to 3 guages larger.
2 x 24g = 1 x 21g
you can calculate it also.
24g = 0.021" or 0.533mm diameter
cross sectional area = Pi[(dia/2)^2] or Pi(r^2)
Pi=3.14 (actually 3.1415927) and is always the same for any equation using Pi.
therefor 0.021"/2 =0.0105
then 0.0105^2= 0.0001102
then area= 0.0001102x3.14=0.0003463"^2
2 wires=2x0.0003463=0.0006927"^2
working back:
0.0006927/3.14=0.0002205
then r= sq.rt 0.0002205=0.01485"
then diameter=2x0.01485"= 0.0297"
Actually 21g=0.02845", but it's close enough!
It works in metric too.
Looks long winded, but if you use it often, it's 20 seconds work with a calculator.
2 x 24g = 1 x 21g
you can calculate it also.
24g = 0.021" or 0.533mm diameter
cross sectional area = Pi[(dia/2)^2] or Pi(r^2)
Pi=3.14 (actually 3.1415927) and is always the same for any equation using Pi.
therefor 0.021"/2 =0.0105
then 0.0105^2= 0.0001102
then area= 0.0001102x3.14=0.0003463"^2
2 wires=2x0.0003463=0.0006927"^2
working back:
0.0006927/3.14=0.0002205
then r= sq.rt 0.0002205=0.01485"
then diameter=2x0.01485"= 0.0297"
Actually 21g=0.02845", but it's close enough!
It works in metric too.
Looks long winded, but if you use it often, it's 20 seconds work with a calculator.
If you would like more information on wire thicknesses and wire properties, note that the Krell Build Wiki has a link to Post #2677 of the Krell thread ... linking to a car audio (wire) website that has much useful information on wire and wire thicknesses, with useful calculators.
That's interesting. I actually paid this guy for the CD of his site two years ago...I wonder if I have it still. Thanks for the reminder.
lgreen said:If you would like more information on wire thicknesses and wire properties, note that the Krell Build Wiki has a link to Post #2677 of the Krell thread ... linking to a car audio (wire) website that has much useful information on wire and wire thicknesses, with useful calculators.
bobhayes said:Looks long winded, but if you use it often, it's 20 seconds work with a calculator.
Greets!
Even quicker 😉:
summed effective dia. = dia. of one wire*SQRT(number of wires)
Since 24 ga is closer to ~0.0201" dia. according to the chart I used at work:
~0.0201*SQRT(2) = ~0.2843", or very close. 😉
Going to extremes with (32) wires it adds up though since we should get a 15 ga difference, or 9 ga = 0.1144, but it's still plenty close enough compared to 10 ga = 0.1019" :
0.0201*SQRT(32) = ~0.1137"
GM
GM said:
Greets!
Even quicker 😉:
summed effective dia. = dia. of one wire*SQRT(number of wires)
That's great!
Makes sense really doesn't it?
Dims ^2= Area
Sq.Rt.Area= Dims!
Of course.
10 wires will be the equivalent of 1 wire 10 gauges lower, and 3 gauges lower is a doubling, its a logarithmic scale based on the copper area.
Solid wire diameter increases/decreases by a factor of about:
2 every 6 gages,
3 every 10 gages,
4 every 12 gages,
5 every 14 gages,
10 every 20 gages,
100 every 40 gages,
Solid wire diameter increases/decreases by a factor of about:
2 every 6 gages,
3 every 10 gages,
4 every 12 gages,
5 every 14 gages,
10 every 20 gages,
100 every 40 gages,
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