what is the voltage drop for a no. copper wire 50 feet long to carry 12.5 amperes

Copper Wire Resistance and Voltage Drop

AWG stands for "American Wire Judge" and is a standardized wire approximate arrangement  used in the US since 1857 for diameters of round, nonferrous, electrically conducting wire.  The cross-sectional area of a wire determines it's resistance and current-carrying capacity.  The large the wire bore, the less resistance it has to the flow of electrons, and the more than current it can carry without overheating.  The table below list copper wire resistance for various gauges of copper wire.  These should be used as a rule of pollex as there are other factors that play into the current ratings of wire including ambience temperature, insulation temperature limit, air convection, etc.  You should consult the National Electric Code (NEC) for specific guidelines.

AWG Wire Sizes and Resistance

AWG approximate Conductor Diameter Inches Conductor Diameter mm Ohms per 1000 ft.
0000 0.46 xi.684 0.049
000 0.4096 10.40384 0.0618
00 0.3648 9.26592 0.0779
0 0.3249 8.25246 0.0983
i 0.2893 7.34822 0.1239
ii 0.2576 six.54304 0.1563
three 0.2294 v.82676 0.197
4 0.2043 5.18922 0.2485
v 0.1819 4.62026 0.3133
6 0.162 four.1148 0.3951
vii 0.1443 three.66522 0.4982
8 0.1285 3.2639 0.6282
9 0.1144 2.90576 0.7921
ten 0.1019 2.58826 0.9989
xi 0.0907 2.30378 1.26
12 0.0808 2.05232 1.588
13 0.072 i.8288 2.003
14 0.0641 1.62814 2.525
15 0.0571 i.45034 three.184
16 0.0508 1.29032 four.016
17 0.0453 1.15062 5.064
18 0.0403 one.02362 6.385
nineteen 0.0359 0.91186 viii.051
20 0.032 0.8128 10.fifteen
21 0.0285 0.7239 12.8
22 0.0254 0.64516 16.fourteen
23 0.0226 0.57404 20.36
24 0.0201 0.51054 25.67
25 0.0179 0.45466 32.37
26 0.0159 0.40386 40.81
27 0.0142 0.36068 51.47
28 0.0126 0.32004 64.9
29 0.0113 0.28702 81.83
xxx 0.01 0.254 103.2
31 0.0089 0.22606 130.1
32 0.008 0.2032 164.one

The diagram beneath shows many of the common copper wire sizes used when wiring a dwelling.  General ampacity ratings are listed as well but you should consult the tables below for more accurate ampacity ratings.  This illustration is meant to prove relative sizes of the common gauges of wire.

Common Copper Wire Sizes

common-copper-cable-sizes

This tabular array provides the amperage rating for common insulated conductors including Romex.  Insulated conductors should have the temp rating and blazon (i.due east. THWN 75ºC) printed on the outside of the cablevision.  Yous tin can then follow the chart below to see how much current y'all are immune to put through the usher.  This table assumes non more than three conductors in a raceway or cable or earth (direct buried) and is based on ambient temperature of 30ºC (86ºF).

Ampacities of Insulated Conductors

Size Temperature Rating of Conductor Size
AWG 60ºC 75ºC 90ºC 60ºC 75ºC 90ºC AWG
(140ºF) (167ºF) (194ºF) (140ºF) (167ºF) (194ºF)
Types Types Types Types Types Types
T
TW
UF
THW
THWN
XHHW
Use
RHH
THHN
XHHW
T
TW
UF
THW
THWN
XHHW
USE
RHH
THHN
XHHW
0 Copper Aluminum
14 20 20 25 ---- ---- ---- ----
12 25 25 30 20 twenty 25 12
x 30 35 40 25 30 35 ten
8 40 50 55 thirty forty 45 8
6 55 65 75 40 fifty 60 half dozen
iv seventy 85 95 55 65 75 four
3 85 100 110 65 75 85 3
2 95 115 130 75 90 100 two
one 110 130 150 85 100 115 1
0 125 150 170 100 120 135 0
00 145 175 195 115 135 150 00
000 165 200 225 130 155 175 000
0000 195 230 260 150 180 205 0000
250 215 255 290 170 205 230 250
300 240 285 320 190 230 255 300
350 260 310 350 210 250 280 350
400 280 335 380 225 270 305 400
500 320 380 430 260 310 350 500

The table below provides the maximum number of THNN conductors that you tin can put in a given size conduit.  Correction factors should be used if putting more 3 conductors in a raceway.

Maximum Number of THNN Conductors in Conduit

Conduit Size (inches)
AWG 1/2 3/four i 1 1/four i 1/2 2 ii ane/2 3 three 1/2 4 five half-dozen
14 13 24 39 69 94 154
12 10 18 29 51 lxx 114 164
10 6 11 18 32 44 73 104 160
eight iii 5 ix 16 22 36 51 51 106 136
6 one four 6 11 15 26 37 37 76 98 154
4 i 2 4 7 9 sixteen 22 22 47 60 94 137
3 1 ane 3 6 8 13 xix 29 39 51 eighty 116
2 ane 1 3 5 7 eleven 16 25 33 43 67 97
1 ane ane 3 v viii 12 18 25 32 50 72
0 1 i three four 7 10 15 21 27 42 61
00 1 i 2 three 6 8 13 17 22 35 51
000 i one 1 3 5 7 11 14 18 29 42
0000 1 one 1 2 iv half dozen ix 12 xv 24 35
250 1 1 1 3 4 7 10 12 20 28
300 1 1 1 3 4 6 viii eleven 17 24
350 1 1 1 two 3 five 7 9 xv 21
400 1 1 one three 5 6 8 13 19
500 1 one 1 2 4 5 7 11 16

Ampacity Correction Factors for more than 3 conductors in Raceway

No. Conductors 4 to half dozen vii to 9 10 to 20 21 to xxx 31 to forty
Factor 0.8 0.7 0.5 0.45 0.four

Why practise I need larger gauge wire to deport more current?

The larger the copper wire size the less resistance and hence the more current information technology can carry without over-heating. Resistance impedes to the flow of electrons and causes a voltage drop across the wire.  You want to avoid voltage drops on your wiring equally much as possible because they generate rut and wasted energy.  The calculator below will help determine how much voltage driblet you will get with a given copper wire and its associated resistance.

Voltage Drib Calculator

This calculator determines the voltage drib for an aluminum or copper wire of whatsoever gauge.  You lot should by and large target less than 3% voltage driblet in a given excursion. Wire resistances are based on NEC 2008, Table eight at 75oC.

Voltage Driblet Estimator Download

The following Excel spreadsheet is a voltage drop calculator that is a piddling more avant-garde.  It can be used to make up one's mind recommended wire gauges, maximum distances, or maximum amperage.

Voltage Drop Calc (.xls, 650KB)

Grounding Conductor Size Calculator

Select rating of circuit breaker ahead of equipment, conduit, etc.
Not Exceeding (Amperes)
Required size of Copper
grounding conductor
Required size of Aluminum
grounding conductor
*Calculator based on 2008 NEC Tabular array 250-122.  Calculator specifies minimum size grounding conductors required for grounding a raceway or equipment. Do not utilize this calculator for sizing hot conductors.

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Source: https://www.buildmyowncabin.com/electrical/copper-wire-resistance.html

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