Electrical Data
Volt (E) is the unit
of electric pressure or electromotive force. It is the potential that
will produce a current of 1 ampere through a resistance of 1 ohm.
Ampere (I) is the unit
of electrical current (coulombs per second).
Ohm (R) is the unit of
electrical resistance (volts/ampere).
Watts (W) and
kilowatts (KW) are units of electric power.
Kilovolt-ampere (KVA)
is a measurement of apparent electric power.
Kilowatt hour (Kwhr)
is a unit of electrical energy or work performed.
Joule (J) is a metric
unit of energy: watt per second.
1 Kwhr = 2,655,000 ft-lb = 1.341 hp-hr = 3413 Btu = 3,600,000 joules.
Ohm law relationships (direct
current) E = IR + W/I = √WR
W = I2R = E2/R = EI
I = E/R = W/E = √W/R
R = E/I = W/I2 = E2/W
For electrical formulas, see the chart below. Use the symbols above plus
the ones defined in the text above the table.
Use the symbols in Electrical Terminology above, plus:
eff = efficiency (expressed as a decimal)
pf = power factor (expressed as a decimal)
hp = horsepower output
Required |
Direct
current |
Alternating current |
Single-phase |
3-phase* |
KVA |
— |
IE
1000 |
1.73 IE
1000 |
Kilowatts |
IE
1000 |
IE (pf)
1000 |
1.73 IE (pf)
1000 |
Horsepower (output) |
IE (eff)/746 |
IE (eff)(pf)/746 |
1.73 IE (eff)(pf)/746 |
Joules |
IE/sec |
IE (eff)(pf)/sec |
1.73 IE (eff)(pf)/sec |
Amperes (hp known) |
746 (hp)/E (eff) |
746 (hp)/E (eff)(pf) |
746 (hp)/1.73 E (eff)(pf) |
Amperes (KW known) |
1000 KW/E |
1000 KW/E (pf) |
1000 KW/1.73 E (pf) |
Amperes (kva known) |
— |
1000 KVA/E |
1000 KVA/1.73 E |
*For 3-phase systems, E is measured line to line and I is phase
current.
Size
(AWG
MCM) |
Area
circle
(mils) |
Concentric lay
conductors |
Bare conductors |
DC resistance Ω/M ft
at 77°F (25°C)** |
No. of
wires |
Diameter
each wire
(inch) |
Diameter
(inch) |
Area
(sq inch) |
Copper |
Aluminum |
Bare |
Tin'd |
18 |
1620 |
— |
— |
0.0403 |
0.0013 |
6.51 |
6.79 |
10.7 |
16 |
2580 |
— |
— |
0.0508 |
0.0020 |
4.10 |
4.26 |
6.72 |
14 |
4110 |
— |
— |
0.0641 |
0.0032 |
2.57 |
2.68 |
4.22 |
12 |
6530 |
— |
— |
0.0808 |
0.0051 |
1.62 |
1.68 |
2.66 |
10 |
10,380 |
— |
— |
0.1019 |
0.0081 |
1.018 |
1.06 |
1.67 |
8 |
16,510 |
— |
— |
0.1285 |
0.0130 |
0.6404 |
0.659 |
1.05 |
6 |
26,240 |
7 |
0.0612 |
0.184 |
0.027 |
0.410 |
0.427 |
0.674 |
4 |
41,740 |
7 |
0.0772 |
0.232 |
0.042 |
0.259 |
0.269 |
0.424 |
3 |
52,620 |
7 |
0.0867 |
0.260 |
0.053 |
0.205 |
0.213 |
0.336 |
2 |
66,360 |
7 |
0.0974 |
0.292 |
0.067 |
0.162 |
0.169 |
0.266 |
1 |
83,690 |
19 |
0.0664 |
0.332 |
0.087 |
0.129 |
0.134 |
0.211 |
0 |
105,600 |
19 |
0.0745 |
0.372 |
0.109 |
0.102 |
0.106 |
0.168 |
00 |
133,100 |
19 |
0.0837 |
0.418 |
0.137 |
0.0811 |
0.0843 |
0.133 |
000 |
167,800 |
19 |
0.0940 |
0.470 |
0.173 |
0.0642 |
0.0668 |
0.105 |
0000 |
211,600 |
19 |
0.1055 |
0.528 |
0.219 |
0.0509 |
0.0525 |
0.0836 |
250 |
250,000 |
37 |
0.0822 |
0.575 |
0.260 |
0.0431 |
0.0449 |
0.0708 |
300 |
300,000 |
37 |
0.0900 |
0.630 |
0.312 |
0.0360 |
0.0374 |
0.0590 |
350 |
350,000 |
37 |
0.0973 |
0.681 |
0.364 |
0.0308 |
0.0320 |
0.0505 |
400 |
400,000 |
37 |
0.1040 |
0.728 |
0.416 |
0.0270 |
0.0278 |
0.0442 |
500 |
500,000 |
37 |
0.1162 |
0.813 |
0.519 |
0.0216 |
0.0222 |
0.0354 |
600 |
600,000 |
61 |
0.0992 |
0.893 |
0.626 |
0.0180 |
0.0187 |
0.0295 |
700 |
700,000 |
61 |
0.1071 |
0.964 |
0.730 |
0.0154 |
0.0159 |
0.0253 |
750 |
750,000 |
61 |
0.1109 |
0.998 |
0.782 |
0.0144 |
0.0148 |
0.0236 |
800 |
800,000 |
61 |
0.1145 |
1.030 |
0.833 |
0.0135 |
0.0139 |
0.0221 |
900 |
900,000 |
61 |
0.1215 |
1.090 |
0.933 |
0.0120 |
0.0123 |
0.0197 |
1000 |
1,000,000 |
61 |
0.1280 |
1.150 |
1.039 |
0.0108 |
0.0111 |
0.0177 |
1250 |
1,250,000 |
91 |
0.1172 |
1.289 |
1.305 |
0.00863 |
0.00888 |
0.0142 |
1500 |
1,500,000 |
91 |
0.1284 |
1.140 |
1.561 |
0.00719 |
0.00740 |
0.0118 |
1750 |
1,750,000 |
127 |
0.1174 |
1.526 |
1.829 |
0.00616 |
0.00634 |
0.0101 |
2000 |
2,000,000 |
127 |
0.1255 |
1.630 |
2.087 |
0.00539 |
0.00555 |
0.00885 |
** The resistance values given in the last three columns apply only to
direct current. When using conductors larger than number 4/0 with
alternating current, use the multiplying factors in the table below to
compensate for skin effect.
Size |
Multiplying factor |
For nonmetallic sheathed
cables in air or
nonmetallic conduits |
For metallic sheathed cables
or all cables in
metallic raceways |
Copper |
Aluminum |
Copper |
Aluminum |
Up to 3 AWG |
1.000 |
1.000 |
1.00 |
1.00 |
Up to 2 AWG |
1.000 |
1.000 |
1.01 |
1.00 |
Up to 1 AWG |
1.000 |
1.000 |
1.01 |
1.00 |
0 |
1.001 |
1.000 |
1.02 |
1.00 |
00 |
1.001 |
1.001 |
1.03 |
1.00 |
000 |
1.002 |
1.001 |
1.04 |
1.01 |
0000 |
1.004 |
1.002 |
1.05 |
1.01 |
250 MCM |
1.005 |
1.002 |
1.06 |
1.02 |
300 MCM |
1.006 |
1.003 |
1.07 |
1.02 |
350 MCM |
1.009 |
1.004 |
1.08 |
1.03 |
400 MCM |
1.011 |
1.005 |
1.10 |
1.04 |
500 MCM |
1.018 |
1.007 |
1.13 |
1.06 |
600 MCM |
1.025 |
1.010 |
1.16 |
1.08 |
700 MCM |
1.034 |
1.013 |
1.19 |
1.11 |
750 MCM |
1.039 |
1.015 |
1.21 |
1.12 |
800 MCM |
1.044 |
1.017 |
1.22 |
1.14 |
1000 MCM |
1.067 |
1.026 |
1.30 |
1.19 |
1250 MCM |
1.102 |
1.040 |
1.41 |
1.27 |
1500 MCM |
1.142 |
1.058 |
1.53 |
1.36 |
1750 MCM |
1.185 |
1.079 |
1.67 |
1.46 |
2000 MCM |
1.233 |
1.100 |
1.82 |
1.56 |
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