Voltage drop over a long run, turned into a wire gauge: copper or aluminum, AWG to 500 kcmil, 120 to 480 V or DC, with the volts left at the load and the longest run each size allows.
Voltage Drop Calculator - Wire Gauge for Long Runs
Voltage drop over a long run, turned into a wire gauge: copper or aluminum, AWG to 500 kcmil, 120 to 480 V or DC, with the volts left at the load and the longest run each size allows.
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Voltage drop and the wire gauge that keeps it in check
A 16 A load at the end of 100 ft of 12 AWG copper sees 113.66 V instead of 120. That is a 5.28% drop, and 12 AWG is the gauge most people would pick for a 20 A circuit. This calculator finds the smallest copper or aluminum gauge that keeps the drop under the limit you choose and still carries the current, or checks a gauge you already own. For that same run it answers 8 AWG, with a drop of 2.07%.
It works for single-phase and three-phase AC and for DC, takes the load in amps or watts and the length in feet or meters, and lists the sizes on either side so you can see what one step up or down would do.
The nine boxes, from supply to limit
- What you want - a suggested gauge, or a check of the gauge you already have.
- Supply - single-phase AC (a 120 V or 240 V house circuit), three-phase AC (208 V or 480 V commercial), or DC (12 V, 24 V or 48 V battery and solar wiring).
- Voltage - the nominal supply voltage, for example 120, 240, 208, 480 or 12.
- Load and its unit - the current in amps from the nameplate, or the power in watts.
- Power factor - only for a load in watts on AC: 1 for heaters and incandescent lamps, about 0.8 to 0.9 for motors.
- Length and its unit - the one-way distance from the panel to the load, not the total length of wire.
- Conductor - copper or aluminum.
- Voltage drop limit - 3% for a branch circuit is the usual choice, 5% for a less sensitive load, 1% or 2% for low-voltage lighting and electronics.
- Read the result - the gauge, the drop in volts and percent, the voltage left at the load, the heat in the wire and the longest run that gauge allows.
Sizing a run in four moves
Under the form, the calculator does the same four things an electrician does on paper. Here they are for a 40 A EV charger circuit, 240 V, 120 ft of copper, 3% limit.
3% of 240 V is 7.2 V. That is the whole budget for the wire out and the wire back.
R = 7.2 x 1,000 / (2 x 40 x 120) = 0.75 ohm per 1,000 ft. The 2 is there because the current travels both ways.
8 AWG copper is 0.778, just over. 6 AWG is 0.491, so 6 AWG it is: 4.71 V, or 1.96%.
6 AWG copper has a usable ampacity of 55 A, above 40 A, so both checks agree. On a shorter run the ampacity check is usually the one that wins.
Copper against aluminum on one 150 ft feeder
The same load, 50 A at 240 V over 150 ft with a 3% limit, sized in both metals. Aluminum needs one size larger here and runs a little warmer, which is the usual trade for a cheaper, lighter cable.
| What you get | Copper | Aluminum | Who should choose it |
|---|---|---|---|
| Smallest gauge that passes | 4 AWG | 3 AWG | Aluminum if the conduit has room for one size up |
| Resistance, ohm per 1,000 ft | 0.308 | 0.403 | From NEC Chapter 9, Table 8 |
| Voltage drop | 4.62 V (1.93%) | 6.05 V (2.52%) | Copper for motors that start hard |
| Heat in the wire | 231 W | 302 W | Copper for loads that run all day |
| Usable ampacity | 70 A | 65 A | Both leave headroom over 50 A |
| Longest run at 3% | 233 ft | 178 ft | Copper if the load may move farther later |
| Verdict | Both pass; aluminum costs one gauge | Terminals must be rated AL/CU | |
The formula, and three runs checked against it
Voltage drop is Ohm's law applied to the wire itself: VD = k x I x R x L / 1,000, with I in amps, R in ohms per 1,000 ft and L the one-way length in feet. On single-phase and DC, k = 2, because the current flows out on one conductor and back on the other. On a balanced three-phase circuit, k = 1.732, the square root of 3.
12 AWG: 2 x 16 x 1.98 x 100 / 1,000 = 6.34 V, which is 5.28%. 10 AWG gives 3.31%, still over. 8 AWG: 2.49 V, 2.07%, with 117.51 V left at the tool. Distance decided it.
3 AWG would already keep the drop under 3%, but its usable ampacity is 85 A. 1 AWG carries 110 A and drops 1.732 x 100 x 0.154 x 300 / 1,000 = 8.00 V, 1.67%. Current decided it.
The budget is only 0.36 V. 14 AWG would drop 10.47%. 8 AWG: 2 x 10 x 0.778 x 20 / 1,000 = 0.31 V, 2.59%. Low voltage is where distance hurts most.
How far each copper gauge reaches at 15 A
Longest one-way run before the drop passes 3% with a 15 A load. Doubling the voltage doubles the reach, because the same volts lost become half the percentage. For other currents, scale inversely: twice the amps, half the distance.
| Copper gauge | Ohm per 1,000 ft | Usable ampacity | 120 V, 15 A | 240 V, 15 A |
|---|---|---|---|---|
| 14 AWG | 3.14 | 15 A | 38 ft | 76 ft |
| 12 AWG | 1.98 | 20 A | 60 ft | 121 ft |
| 10 AWG | 1.24 | 30 A | 96 ft | 193 ft |
| 8 AWG | 0.778 | 40 A | 154 ft | 308 ft |
| 6 AWG | 0.491 | 55 A | 244 ft | 488 ft |
| 4 AWG | 0.308 | 70 A | 389 ft | 779 ft |
| 2 AWG | 0.194 | 95 A | 618 ft | 1,237 ft |
| 1/0 AWG | 0.122 | 150 A | 983 ft | 1,967 ft |
Usable ampacity is the Table 310.16 figure you can actually load the wire to: the 60 °C column up to 1 AWG and the 75 °C column from 1/0, with the 15, 20 and 30 A limits NEC 240.4(D) puts on 14, 12 and 10 AWG copper.
Four mistakes that shrink the wire too far
Voltage drop questions from real runs
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