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NEC formula, copper and aluminum, single-phase or three-phase

Voltage Drop Calculator

Enter your load current, one-way run length, wire gauge and conductor material below to get the voltage drop in volts, the voltage drop as a percentage of your supply voltage, and the actual voltage that reaches the load. The calculator also checks your result against the NEC-recommended 3% branch-circuit and 5% combined voltage-drop guidance automatically, so you can tell at a glance whether a wire size is likely to be adequate for the run.

Circuit type Single-phase / DC
Conductor material Copper
Distance unit Feet
Voltage at the load โ€“
Voltage drop (%) โ€“
Voltage drop โ€“ Enter current, distance, wire size and voltage.
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How this voltage drop calculator works

Voltage drop happens because every real conductor has resistance, and that resistance eats a small amount of voltage over the length of the run. The longer the wire and the higher the current, the more voltage is lost by the time it reaches the load. This calculator uses the same formula referenced in NEC Chapter 9, Table 8, and used by most professional voltage drop calculators:

Single-phase or DC circuits: Voltage drop (V) = (2 × K × I × L) ÷ CM

Three-phase circuits: Voltage drop (V) = (1.732 × K × I × L) ÷ CM

Where K is the resistivity constant of the conductor material (12.9 ohm-circular-mils per foot for copper, 21.2 for aluminum, both at roughly 75°C), I is the load current in amps, L is the one-way length of the run in feet, and CM is the cross-sectional area of the conductor in circular mils, looked up from the wire gauge you select. The factor of 2 in the single-phase formula accounts for the round trip the current makes through both the hot and the neutral (or return) conductor. The factor of 1.732 (the square root of 3) accounts for the phase relationship between conductors in a balanced three-phase circuit.

Once the voltage drop in volts is known, the calculator divides it by your entered supply voltage to get the voltage drop percentage, and subtracts it from the supply voltage to get the voltage actually available at the load. Everything above runs locally in your browser as you type, no input is sent to or stored on a server, see the privacy policy for details. For the full algebra, including how to rearrange the formula to solve for wire size or maximum distance instead, see the voltage drop formula page.

Worked examples

A few real scenarios show how the numbers move:

NEC voltage drop recommendations (3% and 5%)

The National Electrical Code addresses voltage drop as a recommendation, not a strict numeric requirement, through an informational note rather than a mandatory rule. Informational Note No. 4 to NEC 210.19(A) suggests sizing branch-circuit conductors so the voltage drop does not exceed 3% at the farthest outlet, and that the combined voltage drop of both feeder and branch-circuit conductors together does not exceed 5%. These figures provide what the NEC describes as "reasonable efficiency of operation," not a pass/fail electrical safety limit written into the mandatory text of the Code. This calculator flags your result against both thresholds so you can see where a given wire size lands, but always check your local jurisdiction's amendments and an inspector's expectations before finalizing a real installation.

Wire gauge (AWG) to circular mils reference table

Circular mils (CM) describe a conductor's cross-sectional area and come directly from NEC Chapter 9, Table 8. Larger circular-mil values mean a thicker conductor and less resistance per foot, which is why moving up a wire gauge reduces voltage drop for the same current and distance.

Wire sizeCircular mils (CM)
14 AWG4,107
12 AWG6,530
10 AWG10,380
8 AWG16,510
6 AWG26,240
4 AWG41,740
3 AWG52,620
2 AWG66,360
1 AWG83,690
1/0 AWG105,600
2/0 AWG133,100
3/0 AWG167,800
4/0 AWG211,600
250 kcmil250,000
300 kcmil300,000
350 kcmil350,000
400 kcmil400,000
500 kcmil500,000
600 kcmil600,000
750 kcmil750,000
1000 kcmil1,000,000

The calculator above already uses this exact table internally when you pick a wire size, so you do not need to look anything up separately, this reference is here for anyone who wants to see or double-check the underlying numbers, or size a run by hand. For a maximum-distance-by-current version of this table at common branch-circuit amperages, see the full voltage drop chart page.

Why voltage drop matters

Excess voltage drop is rarely dramatic, it shows up as small, cumulative problems: incandescent and LED lighting that looks slightly dim or flickers under load, motors that run hotter than they should because they draw more current to make up for lower voltage, electronics that behave erratically near their minimum operating voltage, and heating elements that take longer to reach temperature. None of these are always dangerous by themselves, but a motor running consistently under-voltage for years will wear out its windings faster, and a long undersized run to an outbuilding, well pump or detached garage is one of the most common real-world places voltage drop becomes a genuine problem rather than a rounding error.

Voltage drop by application

The same formula applies everywhere, but which threshold matters, and how much headroom to build in, changes with what the wire is feeding:

How to reduce voltage drop on a run

If your calculated percentage is higher than you would like, a few changes bring it down, roughly in order of how much they typically help:

  1. Move up one or more wire gauges (a lower AWG number, or a larger kcmil size) to reduce resistance for the same length.
  2. Shorten the run where practical, for example by relocating a subpanel or a transformer closer to the load.
  3. Increase the supply voltage where the equipment allows it (for example running 240V instead of 120V, or a higher-voltage landscape lighting transformer), since the same voltage drop in volts becomes a smaller percentage at a higher supply voltage.
  4. Split a long run into shorter parallel branch circuits instead of a single long daisy chain, which is common practice for landscape and low-voltage lighting.
  5. Switch from aluminum to copper conductors where practical, since copper's lower resistivity constant (12.9 versus 21.2) directly reduces the calculated drop for the same gauge and length.

Frequently asked questions

What is voltage drop?
Voltage drop is the reduction in voltage that occurs as electrical current flows through a conductor, caused by the conductor's own resistance. It increases with current and with the length of the run, and decreases as the wire gets thicker (a lower AWG number or a larger kcmil size).
What is the voltage drop formula?
For single-phase or DC circuits: voltage drop (V) = (2 x K x I x L) / CM. For three-phase circuits: voltage drop (V) = (1.732 x K x I x L) / CM. K is 12.9 for copper and 21.2 for aluminum, I is the load current in amps, L is the one-way length in feet, and CM is the conductor's circular-mil area.
What is a good voltage drop percentage?
NEC Informational Note No. 4 to 210.19(A) suggests keeping branch-circuit voltage drop at or below 3%, with a combined feeder-plus-branch-circuit drop at or below 5%, for reasonable efficiency of operation. These are recommendations in an informational note, not mandatory numeric limits in the Code text, but they are the figures most electricians and inspectors use as a practical target.
How do you calculate voltage drop for a cable run?
Identify the circuit type (single-phase/DC or three-phase), the conductor material (copper or aluminum), the wire gauge, the one-way distance, and the load current, then plug them into the formula above. This calculator does that automatically and also converts the result into a percentage of your supply voltage and the actual voltage remaining at the load.
Does copper or aluminum wire have less voltage drop?
Copper has less voltage drop than aluminum at the same wire gauge and length, because copper's resistivity constant (K = 12.9) is lower than aluminum's (K = 21.2). To match copper's voltage drop performance, an aluminum conductor generally needs to be sized larger.
Why does voltage drop matter so much for landscape lighting?
Low-voltage landscape lighting typically runs on a 12V transformer, so even a small voltage drop in volts becomes a large percentage of the total supply. A 2 to 3 volt drop is barely noticeable on a 120V or 240V circuit, but on a 12V run it can be 20% or more, which visibly dims fixtures at the far end of the run.
What's the difference between the single-phase and three-phase voltage drop formula?
The single-phase (and DC) formula uses a factor of 2 to account for current flowing out through one conductor and back through another. The three-phase formula uses the square root of 3 (about 1.732) instead, which reflects the phase relationship between the three conductors in a balanced three-phase circuit, and generally produces a lower voltage drop for the same current and wire size.
What wire size do I need to keep voltage drop under 3%?
It depends on the current, distance, voltage and conductor material, there is no single answer that fits every run. Enter your own numbers into the calculator above and try a larger wire gauge (a lower AWG number, or a bigger kcmil size) until the percentage result falls under 3% for your specific circuit.

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