DC · Single-Phase · Three-Phase · NEC

Voltage Drop
Calculator

Calculate voltage drop for DC, single-phase, and three-phase circuits. Uses AWG wire gauge, checks NEC 3% and 5% limits, and recommends minimum wire size.

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Circuit types
AWG
Wire sizes
NEC
Compliance
Cu/Al
Materials
Voltage Drop Calculator
NEC-compliant · AWG · Cu/Al
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A
Conductor Material
Wire Reference

AWG Wire Gauge — Resistance & Ampacity

Resistance values at 75°C (167°F) per NEC. Ampacity for copper in conduit.

AWGArea (CM)Ω/1000ft (Cu)Ω/1000ft (Al)Max Ampacity (Cu)Typical Use
14 AWG2,5803.1415 AGeneral lighting/outlets
12 AWG6,5301.9820 AKitchen, bathroom circuits
10 AWG10,3801.242.0430 ADryers, A/C units
8 AWG16,5100.7781.2840 AEV chargers (Level 2), ranges
6 AWG26,2400.4910.80855 ASub-panels, large A/C
4 AWG41,7400.3080.50870 ASub-panels, hot tubs
2 AWG66,3600.1940.31995 AService entrance, feeders
1/0 AWG105,6000.1220.201125 ALarge feeders
2/0 AWG133,1000.09670.159145 AService entrance
4/0 AWG211,6000.06080.100195 ALarge service entrance

NEC Recommends Max 3% Drop on Branch Circuits

The National Electrical Code recommends no more than 3% voltage drop on individual branch circuits and feeders, and 5% total from service entrance to load. This is a recommendation (not a code requirement), but exceeding it causes equipment inefficiency, overheating, and shortened equipment life. For motor circuits and sensitive electronics, stay under 3%.

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Single-Phase vs Three-Phase

Single-phase (1Ø): Two conductors carry current. Current flows out on one wire and returns on the other — doubling the effective wire length. Formula uses multiplier 2. Used in homes (120V, 240V) and small commercial applications.

Three-phase (3Ø): Three conductors, 120° apart. Uses √3 (≈1.732) multiplier instead of 2, because the phases partially cancel. More efficient for long runs and heavy loads. Used in commercial and industrial buildings (208V, 480V).

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Copper vs Aluminum Wiring

Copper (K=12.9): Standard for residential. Lower resistivity, more flexible, more reliable connections, compatible with all devices. Preferred for everything under 1 AWG.

Aluminum (K=21.2): About 64% higher resistance than copper. Used for large feeders (1/0 AWG and up) and service entrance where its lighter weight and lower cost justify use. Requires anti-oxidant compound and compatible connectors rated AL/CU. Always 1–2 gauge larger than copper for same ampacity.

How to Calculate Voltage Drop

Voltage drop is calculated using Ohm's Law applied to the conductor resistance. The standard NEC-based formula uses the K-constant method, which incorporates conductor resistivity, current, and length per circular mil area.

DC and Single-Phase AC Formula

Vdrop = (2 × K × I × L) / CM Where: K = conductor constant (Cu: 12.9, Al: 21.2 at 75°C) I = current in amperes (A) L = one-way conductor length in feet CM = conductor cross-section in circular mils The 2× multiplier accounts for both conductors (out + return). Voltage at load = Source voltage − Vdrop % Voltage drop = (Vdrop / Source voltage) × 100 Example: 120V, 15A, 50 ft, 12 AWG copper (CM = 6,530): Vdrop = (2 × 12.9 × 15 × 50) / 6,530 Vdrop = 19,350 / 6,530 = 2.96 V % drop = (2.96 / 120) × 100 = 2.47% ✓ (under 3%)

Three-Phase Formula

Vdrop = (1.732 × K × I × L) / CM The √3 (1.732) replaces 2× because three phases partially offset each other, reducing the effective return path voltage. Example: 208V 3Ø, 30A, 100 ft, 10 AWG copper (CM = 10,380): Vdrop = (1.732 × 12.9 × 30 × 100) / 10,380 Vdrop = 66,988 / 10,380 = 6.45 V % drop = (6.45 / 208) × 100 = 3.10% (just over 3% — use 8 AWG)

Finding Minimum Wire Size for Target % Drop

Rearranging for CM: CM = (2 × K × I × L) / Vdrop_max (1Ø/DC) CM = (1.732 × K × I × L) / Vdrop_max (3Ø) Where Vdrop_max = Source voltage × (max % drop / 100) Example: Stay under 3% on 120V, 20A, 75 ft copper (1Ø): Vdrop_max = 120 × 0.03 = 3.6 V CM = (2 × 12.9 × 20 × 75) / 3.6 CM = 38,700 / 3.6 = 10,750 CM → 10 AWG (10,380 CM) just fits

When Does Voltage Drop Matter?

Voltage drop becomes a practical concern whenever wire runs are long relative to the load current, or when the load is sensitive to voltage variation.

Common Problem Scenarios

EV Chargers: A Level 2 charger at 48A on a 240V circuit, located 80 feet from the panel, can easily exceed 5% drop on 6 AWG wire. Many EV chargers will throttle charge rate or fault if supply voltage drops below 208V on a 240V circuit.

Lighting Circuits

LED drivers are generally tolerant of 5–10% voltage variation, but incandescent and fluorescent lights show visible dimming above 3% drop. Long runs for landscape lighting or string lights (often low-voltage 12V or 24V DC) suffer dramatically from voltage drop — even a small resistance causes a large percentage drop on low-voltage circuits.

Motor Circuits

Motors are the most sensitive loads to voltage drop. A 10% voltage reduction causes approximately a 19% reduction in torque (torque ∝ V²), forcing the motor to draw more current to maintain load. This increases winding temperature and dramatically shortens motor life. NEC recommends staying under 3% for motor branch circuits.

Low-Voltage DC Systems

Voltage drop is proportionally much worse at low voltages. A 1V drop on a 120V circuit is 0.83%. The same 1V drop on a 12V DC system is 8.3% — a significant problem. Solar and battery systems, automotive wiring, and LED lighting on 12V/24V DC require very careful wire sizing to keep percentage drop under 3%.

Frequently Asked Questions

Voltage drop is the reduction in electrical potential as current flows through a conductor's resistance. The wire converts some electrical energy to heat, leaving less voltage at the load end. A 120V circuit with 3.6V drop delivers only 116.4V to the load. Excessive drop causes dimming lights, overheating motors, and malfunctioning electronics.
Single-phase/DC: Vdrop = (2 × K × I × L) / CM. Three-phase: Vdrop = (1.732 × K × I × L) / CM. K=12.9 for copper, 21.2 for aluminum at 75°C. I=amps, L=one-way length in feet, CM=conductor circular mils. Enter your values above and the calculator shows voltage drop, end voltage, and NEC compliance automatically.
NEC recommends (NEC 210.19, 215.2) no more than 3% voltage drop on branch circuits or feeders, and no more than 5% total (feeder + branch circuit combined). These are recommendations, not hard requirements, but widely used as design standards. For motors and sensitive equipment, 3% is typically the target.
AWG (American Wire Gauge) is a standardized wire sizing system where higher numbers = thinner wire. 14 AWG (15A, typical outlets) is thinner than 10 AWG (30A, dryers). For voltage drop, smaller wire = more resistance = more drop. Going down two AWG sizes approximately halves the resistance — so switching from 14 AWG to 10 AWG roughly halves your voltage drop.
Wire resistance = resistivity × length / area. Doubling length doubles resistance, doubling voltage drop for the same current. A 20A circuit on 12 AWG at 25 ft has ~0.6% drop; at 100 ft it has ~2.5%; at 150 ft it exceeds 3.7%. This is why sub-panels, detached garages, EV chargers far from the main panel, and landscape lighting all need larger wire than a typical short run.
Copper K=12.9, aluminum K=21.2 — aluminum has 64% higher resistivity per circular mil-foot. For the same current and length, you need about 1.65× more cross-section area in aluminum (roughly 2 AWG sizes larger). Copper is standard for residential branch circuits. Aluminum is used for 1/0 AWG and larger feeders and service entrance conductors where cost and weight savings justify it.
Main causes: undersized wire (too small gauge), long wire runs, high current draw, loose/corroded connections (add significant resistance), and high ambient temperature (increases wire resistance). Solutions: increase wire gauge, reduce run length, split loads across circuits, ensure tight clean connections, and use copper instead of aluminum where possible.
Best options: (1) Increase wire gauge — going from 12 AWG to 10 AWG cuts resistance by 37%. (2) Move panel closer to load. (3) Distribute loads across multiple circuits. (4) Use copper instead of aluminum. (5) For 3-phase systems, the √3 multiplier makes 3-phase inherently more efficient per conductor. Use our calculator to find the minimum AWG needed to stay under 3%.
A circular mil is a unit of conductor cross-section area. 1 CM = area of a circle 1/1000 inch in diameter. CM = diameter(mils)². Wire resistance scales inversely with CM: doubling CM halves resistance. The K-constant formula uses CM directly. 12 AWG = 6,530 CM, 10 AWG = 10,380 CM, 8 AWG = 16,510 CM. Our AWG dropdown shows CM for each size.
Not for permanent installations. Extension cord wire is typically 16–18 AWG — very thin, high resistance, and rated for temporary use only. A 50ft 16 AWG extension cord at 15A has over 8% voltage drop. For any permanent run, install properly sized wire in conduit per NEC. If a temporary extension cord is unavoidable, use the shortest heavy-duty (12 AWG) cord rated for the load.