The weight of copper wire is 1-1/7 times the weight of iron wire of same diameter.

EXAMPLE.—What size wires must be used on a single phase circuit 2,000 feet in length to supply 30 kw. at 220 volts with loss of 4%, the power factor being .9?

The formula for circular mils is

watts × feet × M
circular mils =  ——————————  (1)
% loss × volts2

Substituting the given values and the proper value of M from the table, in (1)

30,000 × 2,000 × 2,660
circular mils =  ——————————
4 × 2202

Referring to the accompanying table of the properties of copper wire, the nearest larger size wire is No. 1 B. & S. gauge having an area of 83,690 circular mils.

TABLE OF THE PROPERTIES OF COPPER WIRE

Giving weights, length and resistances of wires of Matthiessen's Standard Conductivity for both B. & S. G. (Brown & Sharpe Gauge) and B. W. G. (Birmingham Wire Gauge) from Transactions October 1903, of the American Institute of Electrical Engineers.

Gauges. To the nearest fourth significant digit.Weight.
Lbs. per
1,000 ft.
Length.Resistance.
Diameter.Area.Feet
per lb.
Ohms per
1,000 feet.
@ 68° F.
B.& S.B.W.G. Inches.Circular mils.
0000 0.460 211,600 640.51.561 .04893
0000 0.454 206,100 623.91.603 .05023
000 0.425 180,600 546.81.829 .05732
000 0.4096 167,800 508.01.969 .06170
00 0.380 144,400 437.12.288 .07170
00 0.3648 133,100 402.82.482 .07780
0 0.340 115,600 349.92.858 .08957
0 0.3249 105,500 319.53.130 .09811
1 0.3000 90,000 272.43.671 .1150
1 0.2893 83,690 253.33.947 .1237
2 0.2840 80,660 244.14.096 .1284
3 0.2590 67,080 203.14.925 .1543
2 0.2576 66,370 200.94.977 .1560
4 0.2380 56,640 171.55.832 .1828
3 0.2294 52,630 159.36.276 .1967
5 0.2200 48,400 146.56.826 .2139
4 0.2043 41,740 126.47.914 .2480
6 0.2030 41,210 124.78.017 .2513
5 0.1819 33,100 100.29.98  .3128
7 0.1800 32,400 98.0810.20  .3196
8 0.1650 27,230 82.4112.13  .3803
6 0.1620 26,250 79.4612.58  .3944
9 0.1480 21,900 66.3015.08  .4727
7 0.1443 20,820 63.0215.87  .4973
10 0.1340 17,960 54.3518.40  .5766
8 0.1285 16,510 49.9820.01  .6271
11 0.1200 14,400 43.5922.94  .7190
9 0.1144 13,090 39.6325.23  .7908
12 0.1090 11,880 35.9627.81  .8715
10 0.1019 10,380 31.4331.82  .9972
13 0.0950  9,025 27.3236.60  1.147
11 0.09074  8,234 24.9340.12  1.257
14 0.08300  6,889 20.8547.95  1.503
12 0.08081  6,530 19.7750.59  1.586
15 0.07200  5,184 15.6963.73  1.997
13 0.07196  5,178 15.6863.79  1.999
16 0.06500  4,225 12.7978.19  2.451
14 0.06408  4,107 12.4380.44  2.521
17 0.0580  3,364 10.1898.23  3.078
15 0.05707  3,257 9.858101.4  3.179
16 0.05082  2,583 7.818127.9  4.009
18 0.04900  2,401 7.268137.6  4.312
17 0.045260  2,048 6.200161.3  5.055
19 0.042000  1,764 5.340187.3  5.870
18 0.040300  1,624 4.917203.4  6.374
19 0.035890  1,288 3.899256.5  8.038
20 0.035000  1,225 3.708269.7  8.452
21 0.032000  1,024 3.100322.6  10.11 
20 0.031960  1,022 3.092323.4  10.14 
21 0.028460  810.1 2.452407.8  12.78 
22 0.028000  784.0 2.373421.4  13.21 
22 0.025350  642.4 1.945514.2  16.12 
23 0.025000  625.0 1.892528.6  16.57 
23 0.022570  509.5 1.542648.4  20.32 
24 0.022000  484.0 1.465682.6  21.39 
24 0.020100  404.0 1.223817.6  25.63 
25 0.020000  400.0 1.211825.9  25.88 
26 0.018000  324.0   .9808 1,020  31.96 
25 0.017900  320.4   .96991,031  32.31 
27 0.016000  256.0   .77491,290  40.45 
26 0.015940  254.1   .76921,300  40.75 
27 0.014200  201.5   .61001,639  51.38 
28 0.014000  196.0   .59331,685  52.83 
29 0.013000  169.0   .51161,955  61.27 
28 0.012640  159.8   .48372,067  64.79 
30 0.012000  144.0   .43592,294  71.90 
29 0.011260  126.7   .38362,607  81.70 
30 0.010030  100.5   .30423,287  103.0 
31 0.010000  100.0   .30273,304  103.5 
32 0.009000  81.0   .24524,078  127.8 
31 0.008928  79.70   .24134,145  129.9 
33 0.008000  64.0   .19375,162  161.8 
32 0.007950  63.21   .19135,227  163.8 
33 0.007080  50.13   .15176,591  206.6 
34 0.007000  49.0   .14836,742  211.3 
34 0.006305  39.75   .12038,311  260.5 
35 0.005615  31.52   .0954310,480  328.4 
36 35 0.005000  25.0   .0756813,210  414.2 
37 0.004453  19.83   .0600116,660  522.2 
36 0.004000  16.   .0484320,650  647.1 
38 0.003965  15.72   .0475921,010  658.5 
39 0.003531  12.47   .0377426,500  830.4 
40 0.003145   9.888   .0299333,410  1047.