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Voltage drop calculator

Voltage drop, load voltage and wire loss for a run, and the smallest wire size that keeps the drop within your target.

Units
Presets
V
Line to line for three-phase.
A
m
Source to load. The return path is added.
°C
Table 8 resistances are at 75 °C.
%
Voltage drop, 14 AWG
2.06V
Drop as share of supply
8.58 %
Voltage at the load
21.94 V
Power lost in the wire
20.6 W
Smallest gauge within 3 % drop
8 AWG
Resistance per conductor
10.3 Ω/km
Copper at 75 °C, 10 A over this run
SizeΩ/kmDrop (V)Drop (%)Within 3 %
18 AWG26.15.2221.8No
16 AWG16.43.2813.7No
14 AWG10.32.068.58No
12 AWG6.51.35.42No
10 AWG4.070.8143.39No
8 AWG2.5510.512.13Yes
6 AWG1.6080.3221.34Yes
4 AWG1.010.2020.842Yes
3 AWG0.8020.160.668Yes
2 AWG0.6340.1270.528Yes
1 AWG0.5050.1010.421Yes
1/0 AWG0.3990.07980.332Yes
2/0 AWG0.3170.06340.264Yes
3/0 AWG0.25120.05020.209Yes
4/0 AWG0.19960.03990.166Yes
250 kcmil0.16870.03370.141Yes
300 kcmil0.14090.02820.117Yes
350 kcmil0.12050.02410.1Yes
400 kcmil0.10530.02110.0877Yes
500 kcmil0.08450.01690.0704Yes
600 kcmil0.07040.01410.0587Yes
700 kcmil0.06030.01210.0503Yes
750 kcmil0.05630.01130.0469Yes
800 kcmil0.05280.01060.044Yes
900 kcmil0.0470.00940.0392Yes
1000 kcmil0.04230.008460.0352Yes
1250 kcmil0.03380.006760.0282Yes
1500 kcmil0.028140.005630.0235Yes
1750 kcmil0.02410.004820.0201Yes
2000 kcmil0.021090.004220.0176Yes
Method

How this is calculated

R(T)  = R75 × [1 + α (T − 75)]      α = 0.00323 Cu, 0.00330 Al
DC, AC 1-phase:  Vd = 2 × I × R × L
AC 3-phase:      Vd = √3 × I × R × L
Loss:            P = 2 I² R L (DC, 1-phase), 3 I² R L (3-phase)
L = one-way length, R per meter of one conductor
Resistance
NEC Chapter 9 Table 8 DC resistance at 75 °C for stranded uncoated copper and aluminum, 18 AWG to 2000 kcmil, corrected to the conductor temperature with the equation in Table 8, note 2.
AC
AC results use resistance only, as if the power factor were 1. Reactance and skin effect (NEC Chapter 9 Table 9) are not included because those values were not verified for this page; the error grows with conductor size, mostly from 1/0 AWG up.
Target
The target percentage is yours to set. For general circuits the NEC gives 3 % (branch) and 5 % (feeder plus branch) only in an informational note to 210.19(A), not as a requirement.
Not included
Sizes smaller than 18 AWG (not in Table 8), connector and contact resistance, and coated or compact stranding.
FAQ

Questions

It depends on what the load tolerates. For building wiring, an NEC informational note to 210.19(A) cites 3 % on a branch circuit and 5 % for feeder and branch together as reasonable efficiency. On a 12 V DC system 3 % is only 0.36 V, so low-voltage runs usually need a much larger wire than ampacity alone requires.

Drop is set by current and resistance, not voltage, so the same 0.5 V loss is 4 % at 12 V and about 0.4 % at 120 V. At 10 A over 10 m one way, 14 AWG copper at 75 °C drops 2.06 V: 17 % of 12 V. Keeping that under 3 % needs 6 AWG.

Enter the one-way length from source to load. For DC and single-phase AC the calculator doubles it for the return conductor; for three-phase it uses √3 times the one-way length, which gives line-to-line drop for a balanced load.

Copper resistance changes by 0.323 % per °C relative to 75 °C (Table 8, note 2). 14 AWG copper is 10.3 Ω/km at 75 °C and 8.47 Ω/km at 20 °C, so a cold run drops about 18 % less than the 75 °C figure.

Related
Next step

Need the harness too? We build it alongside the board.

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