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 | 640.5 | 1.561 | .04893 |
| | 0000 | 0.454 | 206,100 | 623.9 | 1.603 | .05023 |
| | 000 | 0.425 | 180,600 | 546.8 | 1.829 | .05732 |
| 000 | | 0.4096 | 167,800 | 508.0 | 1.969 | .06170 |
| | 00 | 0.380 | 144,400 | 437.1 | 2.288 | .07170 |
| 00 | | 0.3648 | 133,100 | 402.8 | 2.482 | .07780 |
| | 0 | 0.340 | 115,600 | 349.9 | 2.858 | .08957 |
| 0 | | 0.3249 | 105,500 | 319.5 | 3.130 | .09811 |
| | 1 | 0.3000 | 90,000 | 272.4 | 3.671 | .1150 |
| 1 | | 0.2893 | 83,690 | 253.3 | 3.947 | .1237 |
| | 2 | 0.2840 | 80,660 | 244.1 | 4.096 | .1284 |
| | 3 | 0.2590 | 67,080 | 203.1 | 4.925 | .1543 |
| 2 | | 0.2576 | 66,370 | 200.9 | 4.977 | .1560 |
| | 4 | 0.2380 | 56,640 | 171.5 | 5.832 | .1828 |
| 3 | | 0.2294 | 52,630 | 159.3 | 6.276 | .1967 |
| | 5 | 0.2200 | 48,400 | 146.5 | 6.826 | .2139 |
| 4 | | 0.2043 | 41,740 | 126.4 | 7.914 | .2480 |
| | 6 | 0.2030 | 41,210 | 124.7 | 8.017 | .2513 |
| 5 | | 0.1819 | 33,100 | 100.2 | 9.98 | .3128 |
| | 7 | 0.1800 | 32,400 | 98.08 | 10.20 | .3196 |
| | 8 | 0.1650 | 27,230 | 82.41 | 12.13 | .3803 |
| 6 | | 0.1620 | 26,250 | 79.46 | 12.58 | .3944 |
| | 9 | 0.1480 | 21,900 | 66.30 | 15.08 | .4727 |
| 7 | | 0.1443 | 20,820 | 63.02 | 15.87 | .4973 |
| | 10 | 0.1340 | 17,960 | 54.35 | 18.40 | .5766 |
| 8 | | 0.1285 | 16,510 | 49.98 | 20.01 | .6271 |
| | 11 | 0.1200 | 14,400 | 43.59 | 22.94 | .7190 |
| 9 | | 0.1144 | 13,090 | 39.63 | 25.23 | .7908 |
| | 12 | 0.1090 | 11,880 | 35.96 | 27.81 | .8715 |
| 10 | | 0.1019 | 10,380 | 31.43 | 31.82 | .9972 |
| | 13 | 0.0950 | 9,025 | 27.32 | 36.60 | 1.147 |
| 11 | | 0.09074 | 8,234 | 24.93 | 40.12 | 1.257 |
| | 14 | 0.08300 | 6,889 | 20.85 | 47.95 | 1.503 |
| 12 | | 0.08081 | 6,530 | 19.77 | 50.59 | 1.586 |
| | 15 | 0.07200 | 5,184 | 15.69 | 63.73 | 1.997 |
| 13 | | 0.07196 | 5,178 | 15.68 | 63.79 | 1.999 |
| | 16 | 0.06500 | 4,225 | 12.79 | 78.19 | 2.451 |
| 14 | | 0.06408 | 4,107 | 12.43 | 80.44 | 2.521 |
| | 17 | 0.0580 | 3,364 | 10.18 | 98.23 | 3.078 |
| 15 | | 0.05707 | 3,257 | 9.858 | 101.4 | 3.179 |
| 16 | | 0.05082 | 2,583 | 7.818 | 127.9 | 4.009 |
| | 18 | 0.04900 | 2,401 | 7.268 | 137.6 | 4.312 |
| 17 | | 0.045260 | 2,048 | 6.200 | 161.3 | 5.055 |
| | 19 | 0.042000 | 1,764 | 5.340 | 187.3 | 5.870 |
| 18 | | 0.040300 | 1,624 | 4.917 | 203.4 | 6.374 |
| 19 | | 0.035890 | 1,288 | 3.899 | 256.5 | 8.038 |
| | 20 | 0.035000 | 1,225 | 3.708 | 269.7 | 8.452 |
| | 21 | 0.032000 | 1,024 | 3.100 | 322.6 | 10.11 |
| 20 | | 0.031960 | 1,022 | 3.092 | 323.4 | 10.14 |
| 21 | | 0.028460 | 810.1 | 2.452 | 407.8 | 12.78 |
| | 22 | 0.028000 | 784.0 | 2.373 | 421.4 | 13.21 |
| 22 | | 0.025350 | 642.4 | 1.945 | 514.2 | 16.12 |
| 23 | 0.025000 | 625.0 | 1.892 | 528.6 | 16.57 |
| 23 | | 0.022570 | 509.5 | 1.542 | 648.4 | 20.32 |
| | 24 | 0.022000 | 484.0 | 1.465 | 682.6 | 21.39 |
| 24 | | 0.020100 | 404.0 | 1.223 | 817.6 | 25.63 |
| | 25 | 0.020000 | 400.0 | 1.211 | 825.9 | 25.88 |
| | 26 | 0.018000 | 324.0 | .9808 | 1,020 | 31.96 |
| 25 | | 0.017900 | 320.4 | .9699 | 1,031 | 32.31 |
| | 27 | 0.016000 | 256.0 | .7749 | 1,290 | 40.45 |
| 26 | | 0.015940 | 254.1 | .7692 | 1,300 | 40.75 |
| 27 | | 0.014200 | 201.5 | .6100 | 1,639 | 51.38 |
| | 28 | 0.014000 | 196.0 | .5933 | 1,685 | 52.83 |
| | 29 | 0.013000 | 169.0 | .5116 | 1,955 | 61.27 |
| 28 | | 0.012640 | 159.8 | .4837 | 2,067 | 64.79 |
| | 30 | 0.012000 | 144.0 | .4359 | 2,294 | 71.90 |
| 29 | | 0.011260 | 126.7 | .3836 | 2,607 | 81.70 |
| 30 | | 0.010030 | 100.5 | .3042 | 3,287 | 103.0 |
| | 31 | 0.010000 | 100.0 | .3027 | 3,304 | 103.5 |
| | 32 | 0.009000 | 81.0 | .2452 | 4,078 | 127.8 |
| 31 | | 0.008928 | 79.70 | .2413 | 4,145 | 129.9 |
| | 33 | 0.008000 | 64.0 | .1937 | 5,162 | 161.8 |
| 32 | | 0.007950 | 63.21 | .1913 | 5,227 | 163.8 |
| 33 | | 0.007080 | 50.13 | .1517 | 6,591 | 206.6 |
| | 34 | 0.007000 | 49.0 | .1483 | 6,742 | 211.3 |
| 34 | | 0.006305 | 39.75 | .1203 | 8,311 | 260.5 |
| 35 | | 0.005615 | 31.52 | .09543 | 10,480 | 328.4 |
| 36 | 35 | 0.005000 | 25.0 | .07568 | 13,210 | 414.2 |
| 37 | | 0.004453 | 19.83 | .06001 | 16,660 | 522.2 |
| | 36 | 0.004000 | 16. | .04843 | 20,650 | 647.1 |
| 38 | | 0.003965 | 15.72 | .04759 | 21,010 | 658.5 |
| 39 | | 0.003531 | 12.47 | .03774 | 26,500 | 830.4 |
| 40 | | 0.003145 | 9.888 | .02993 | 33,410 | 1047. |