Voltage Drop Formula: DC, AC & 3-Phase Guide
Deep dive into the mathematics behind voltage drop calculations, with derivations, examples, and practical applications for all circuit types.
Read article →Calculate voltage drop in electrical circuits instantly. Supports DC, single-phase AC, and three-phase AC systems. Uses NEC-compliant formulas with American Wire Gauge (AWG) specifications.
| Metric | Your Value | NEC Reference |
|---|---|---|
| Voltage Drop | 0.00 V | Lower is better |
| Voltage Drop % | 0.00% | ≤3% recommended, ≤5% max |
| End Voltage at Load | 0.00 V | Should be close to source |
| Power Loss (Heat) | 0.0 W | Lower = more efficient |
| Total Wire Resistance | 0.0000 Ω | Round-trip resistance |
Your voltage drop of 0.00% is well within the NEC-recommended 3% maximum for branch circuits. The equipment at the end of this wire run will receive adequate voltage for proper operation.
12 AWG copper is adequate for this circuit.
This calculator determines voltage drop for DC, single-phase AC, and three-phase AC electrical circuits. Follow these step-by-step instructions to get accurate results for your specific application.
Choose the appropriate circuit type from the dropdown menu at the top of the calculator:
Toggle between Imperial (feet) and Metric (meters) using the switch at the top right. The calculator automatically converts your length values when you switch systems. Wire resistance tables are based on imperial units internally.
Configure the left column with your circuit specifications:
Configure the right column with your conductor specifications:
Click "Calculate Voltage Drop" to see comprehensive results:
Voltage drop calculations are essential whenever you're running wire over any significant distance or working with low-voltage systems. Here are specific situations where this calculator provides the most value:
This calculator serves electricians planning circuit runs, engineers designing electrical systems, solar installers sizing DC conductors, homeowners planning DIY projects, marine and RV technicians, automotive specialists, and students learning electrical principles. Whether you need a quick field calculation or detailed documentation for a project, this tool provides the accuracy you need.
Voltage drop is the reduction in electrical potential (voltage) as current flows through a conductor. Every wire has electrical resistance, and according to Ohm's Law (V = IR), this resistance causes a portion of voltage to be "lost" as heat along the wire length.
The National Electrical Code (NEC) recommends keeping voltage drop below 3% for branch circuits and 5% total for feeders plus branch circuits combined. Excessive voltage drop can cause equipment to malfunction, motors to overheat, and lights to dim.
This calculator uses the standard voltage drop formulas from NEC Chapter 9 with wire resistance values from Table 8. It automatically accounts for the round-trip wire distance (to the load and back) in all calculations.
The factor of 2 in DC and single-phase formulas accounts for the round-trip distance—current must flow to the load AND return through the neutral or ground wire. In three-phase balanced systems, √3 (approximately 1.732) is used because the return current flows through the other phases.
Source: NFPA 70 National Electrical Code, Chapter 9, Tables 8 and 9
The following table shows DC resistance values from NEC Chapter 9, Table 8. These values are used for voltage drop calculations.
| AWG | Area (mm²) | Copper (Ω) | Aluminum (Ω) | Copper Ampacity |
|---|---|---|---|---|
| 14 | 2.08 | 3.14 | 5.17 | 15 A |
| 12 | 3.31 | 1.98 | 3.25 | 20 A |
| 10 | 5.26 | 1.24 | 2.04 | 30 A |
| 8 | 8.37 | 0.778 | 1.28 | 40 A |
| 6 | 13.3 | 0.491 | 0.808 | 55 A |
| 4 | 21.2 | 0.308 | 0.508 | 70 A |
| 2 | 33.6 | 0.194 | 0.319 | 95 A |
| 1/0 | 53.5 | 0.122 | 0.201 | 125 A |
| 2/0 | 67.4 | 0.0967 | 0.159 | 145 A |
| 4/0 | 107.2 | 0.0608 | 0.100 | 195 A |
Note: Ampacity values are for copper conductors in raceway at 30°C ambient (NEC Table 310.16). Actual ampacity depends on installation conditions and must be derated for temperature, conduit fill, and other factors.
This chart shows how voltage drop increases with wire distance for a typical 120V, 20A residential circuit using 12 AWG copper wire. Notice how quickly voltage drop exceeds NEC limits at longer distances.
For this 20A circuit, 12 AWG wire is only suitable up to about 45 feet to stay within the NEC 3% recommendation. Beyond that distance, upgrading to 10 AWG or larger wire is recommended. See our guide on how to reduce voltage drop for more solutions.
Copper wire has significantly lower resistance than aluminum at every gauge, resulting in less voltage drop for the same wire size. This chart compares the two materials at common wire gauges. For a detailed analysis, see our copper vs. aluminum comparison guide.
Key insight: Aluminum has about 64% higher resistance than copper at the same gauge. To get equivalent voltage drop performance with aluminum, you typically need to go up two wire sizes. For example, 6 AWG aluminum (0.808 Ω) is roughly equivalent to 8 AWG copper (0.778 Ω).
Use this table to quickly determine the maximum wire length that keeps voltage drop within the NEC 3% recommendation for common circuit configurations. All values assume copper conductors.
| Circuit | 14 AWG | 12 AWG | 10 AWG | 8 AWG | 6 AWG | 4 AWG |
|---|---|---|---|---|---|---|
| 120V / 15A | 46 ft | 72 ft | 116 ft | 184 ft | 293 ft | 468 ft |
| 120V / 20A | 34 ft | 55 ft | 87 ft | 138 ft | 220 ft | 351 ft |
| 240V / 20A | 69 ft | 109 ft | 174 ft | 277 ft | 440 ft | 701 ft |
| 240V / 30A | — | 73 ft | 116 ft | 184 ft | 293 ft | 468 ft |
| 240V / 50A | — | — | 70 ft | 111 ft | 176 ft | 281 ft |
| 12V / 10A | 6 ft | 9 ft | 15 ft | 23 ft | 37 ft | 58 ft |
| 24V / 10A | 11 ft | 18 ft | 29 ft | 46 ft | 73 ft | 117 ft |
| 48V / 20A | — | 11 ft | 17 ft | 28 ft | 44 ft | 70 ft |
How to read this table: Find your circuit voltage and current in the left column, then look across to see the maximum one-way wire length for each gauge. The "—" entries indicate the wire gauge cannot safely handle that current (ampacity exceeded). For 12V and 24V systems, distances are dramatically shorter—highlighting why low-voltage systems need heavier wire.
The following examples illustrate common scenarios where voltage drop calculations are essential. Each example shows realistic inputs, calculated results, and practical recommendations.
Sarah, a woodworking hobbyist, is wiring a new 20A circuit to her detached workshop 150 feet from the main panel. She initially planned to use standard 12 AWG wire.
The problem: At 9.9% voltage drop, Sarah's power tools would only receive 108V instead of 120V. Motors would run hot, struggle to start, and potentially trip thermal overloads.
Solution: Using 6 AWG copper wire: VD = (2 × 150 × 20 × 0.491) ÷ 1000 = 2.95V (2.46%). This meets the NEC 3% guideline, ensuring full performance from her table saw and dust collector.
Marcus is installing a 48A Level 2 EV charger in his garage, which is 80 feet from the electrical panel. His electrician suggested 6 AWG wire for the 60A circuit.
Result: The charger receives 236.8V, providing optimal charging speed. The 6 AWG wire handles both the ampacity requirement (55A rated) and keeps voltage drop minimal. No upsizing needed.
Jennifer is installing a 48V off-grid solar system. She needs to run wire from her roof-mounted panels to the charge controller in her utility room, a distance of 45 feet.
Analysis: In solar applications, voltage drop directly reduces harvested energy. A 5.1% drop means Jennifer loses 5.1% of her solar production to heat in the wires.
Solution: Upgrading to 6 AWG: VD = (2 × 45 × 35 × 0.491) ÷ 1000 = 1.55V (3.2%). This recovers approximately 2% of her solar production—a significant gain over the system's lifetime.
Carlos, an industrial electrician, is sizing wire for a new 25 HP air compressor in a manufacturing plant. The motor is located 200 feet from the MCC (Motor Control Center).
Why this matters: Motors draw 6-8 times their running current during startup. Low voltage drop ensures the motor can accelerate the compressor to full speed without overheating or tripping on overcurrent. The 6 AWG wire provides ample margin.
David is installing low-voltage landscape lights along his 75-foot driveway. He purchased a 150W transformer and standard 14 AWG landscape wire, connecting ten 10W LED fixtures.
The problem: At 31.4% voltage drop, the lights at the end of the run receive only 8.2V instead of 12V. They'll be noticeably dimmer than fixtures near the transformer, and some may flicker or fail entirely.
Solution: Using 10 AWG wire: VD = (2 × 75 × 8 × 1.24) ÷ 1000 = 1.49V (12.4%). Still high for lighting—consider 8 AWG for 0.93V (7.8%), or split into two runs with a multi-tap transformer.
Linda upgraded her RV to a 3000W pure sine wave inverter. The batteries are mounted 8 feet from the inverter compartment. At full load, the inverter draws 280A from the 12V battery bank.
Critical consideration: Even with the largest common wire gauge (4/0), the 8-foot run produces measurable voltage drop. Longer runs would require parallel cables or relocating the inverter closer to the batteries. At 280A, even small resistance creates significant heat.
A restaurant is installing a new commercial pizza oven rated at 40A on a 208V single-phase circuit. The run from the panel to the kitchen is 120 feet through the drop ceiling.
Consideration: While 3.59% exceeds the 3% guideline, it's within the 5% total limit. For a resistive heating load, this is acceptable—the oven will simply take slightly longer to reach temperature. However, upgrading to 6 AWG (4.71V, 2.26%) would be better practice.
Problem: Calculate the voltage drop for a 120V, 15A residential circuit using 12 AWG copper wire over a 100-foot run.
From NEC Chapter 9, Table 8, 12 AWG copper wire has a resistance of:
R = 1.98 Ω per 1000 ftUsing the standard voltage drop formula:
VD = (2 × L × I × R) ÷ 1000At 4.95%, this exceeds the NEC 3% recommendation for branch circuits. Options to reduce voltage drop:
Master voltage drop calculations with our comprehensive educational articles covering formulas, applications, and best practices.
Deep dive into the mathematics behind voltage drop calculations, with derivations, examples, and practical applications for all circuit types.
Read article →Understand what the National Electrical Code actually requires versus recommends, and how to apply these guidelines to your installations.
Read article →Complete AWG wire sizing reference with ampacity ratings, resistance values, and voltage drop tables for quick field reference.
Read article →Special considerations for 12V and 24V DC systems where voltage drop is most critical, including RVs, boats, and off-grid solar.
Read article →Learn the √3 formula for three-phase systems, including motor circuits, commercial feeders, and industrial applications.
Read article →Practical methods to reduce voltage drop when you can't change the wire run, including wire upsizing, voltage increase, and load splitting.
Read article →Detailed comparison of copper and aluminum conductors including resistance differences, cost analysis, and when to use each material.
Read article →Why LED lighting is especially sensitive to voltage drop, and how to properly size wires for residential and commercial LED circuits.
Read article →How to calculate and minimize voltage drop in solar PV installations, from panel strings to inverters and battery banks.
Read article →How our calculator compares to the Southwire voltage drop tool, including feature differences, accuracy, and ease of use.
Read article →The National Electrical Code (NEC) recommends a maximum of 3% voltage drop for branch circuits and 5% total for feeders plus branch circuits combined. For sensitive electronics and computer equipment, many engineers recommend keeping voltage drop under 2%. These are recommendations rather than code requirements, but following them ensures reliable equipment operation and energy efficiency.
There are four main ways to reduce voltage drop: (1) Use larger gauge wire—this is the most common solution; (2) Shorten the wire run by relocating the panel or equipment closer; (3) Reduce the load current by using more efficient equipment or splitting the load across multiple circuits; (4) Increase the system voltage if possible (e.g., 240V instead of 120V). Using copper instead of aluminum wire also helps, as copper has lower resistance.
The factor of 2 accounts for the round-trip distance that current must travel. In a simple DC or single-phase circuit, current flows from the source to the load through the "hot" wire, then returns through the neutral (or ground) wire. Both wires have resistance, so the total circuit resistance is doubled. The wire length you enter should be the one-way distance; the formula automatically doubles it.
DC voltage drop calculations only consider the wire's resistance. AC calculations must also account for reactance (inductive and capacitive effects) and power factor. The power factor represents how efficiently the circuit uses power—resistive loads like heaters have a power factor of 1.0, while motors typically have power factors around 0.85. AC calculations generally result in slightly higher voltage drops than DC for the same current and wire size.
Yes, wire resistance increases with temperature. The NEC tables are based on 75°C (167°F) conductor temperature. In hot environments or when wires are carrying heavy loads, the actual temperature may be higher, increasing resistance by 10-15% or more. For critical applications, consider using the next larger wire size to account for temperature effects and provide a safety margin.
Southwire's voltage drop calculator uses the same NEC Chapter 9 formulas and wire resistance values. This calculator provides identical results for the same inputs, with additional features including three-phase support, visual circuit diagrams, wire size recommendations, and the ability to toggle between imperial and metric units. Both are suitable for professional electrical design calculations.
Wire size depends on both ampacity (safe current-carrying capacity) and voltage drop. First, select a wire size that meets the ampacity requirements from NEC Table 310.16. Then, verify that the voltage drop is acceptable using this calculator. For long runs, voltage drop often requires larger wire than ampacity alone would suggest. Always size conductors for both requirements and choose the larger wire. See our complete wire size chart for detailed ampacity and resistance values.
At 12V, even a small voltage drop in volts represents a large percentage. A 1V drop on a 120V circuit is only 0.83%, but that same 1V drop on a 12V circuit is 8.3%. This is why low-voltage lighting requires heavier gauge wire for the same current. A typical 50-foot run with 5A load needs at least 10 AWG wire to stay under 5% drop—much heavier than the 16-18 AWG wire commonly sold with landscape kits. Learn more in our LED landscape lighting guide.
This calculator uses the same NEC Chapter 9, Table 8 resistance values and formulas as professional tools including Southwire's voltage drop calculator. Results are identical for the same inputs. The main differences are in additional features—this calculator adds three-phase support, circuit visualization, automatic wire recommendations, and unit conversion. For a detailed comparison, see our Southwire calculator comparison.
Copper is the standard choice for most applications due to its lower resistance (about 40% less than aluminum), smaller required wire size, and easier termination. Aluminum makes economic sense for large feeders (typically 4 AWG and larger) where the cost savings outweigh the need for larger wire and special AL-rated terminations. For branch circuits, especially those requiring flexibility during installation, copper is almost always preferred. See our detailed copper vs aluminum comparison for more guidance.
For solar installations, you'll typically calculate voltage drop for three segments: (1) from panels to combiner box, (2) from combiner to charge controller or inverter, and (3) from batteries to inverter. Use DC mode for all segments. Solar professionals often target 2% maximum drop per segment to maximize energy harvest—every percentage point of voltage drop represents lost generation capacity. Our solar voltage drop guide covers this in detail.
This calculator is a planning and verification tool, not a substitute for professional expertise. Consult a licensed electrician for: (1) any work requiring permits, (2) service entrance and main panel work, (3) situations where safety is critical (wet locations, hazardous areas), (4) when results seem unusual or you're unsure, and (5) all actual installation work if you're not qualified. This calculator helps you understand requirements and verify calculations, but electrical work is regulated and potentially dangerous.
| Circuit Type | Max Recommended | Code Reference |
|---|---|---|
| Branch Circuits | 3% | NEC 210.19(A) Informational Note No. 4 |
| Feeders | 3% | NEC 215.2(A) Informational Note No. 2 |
| Total (Feeder + Branch) | 5% | NEC 210.19(A) Informational Note No. 4 |
| Sensitive Equipment | 2% (recommended) | IEEE 141 (Red Book) |
Important: These are NEC recommendations, not requirements. The NEC informational notes state that conductors "should be sized" to meet these guidelines for "reasonable efficiency of operation." Local authorities having jurisdiction (AHJ) may have additional requirements. Always verify with local codes before installation.
After calculating voltage drop, use these guidelines to interpret what the numbers mean for your specific application and what actions to take.
| Drop % | Status | What It Means | Action Required |
|---|---|---|---|
| 0-2% | Excellent | Optimal efficiency; exceeds NEC recommendations | No action needed. Wire sizing is conservative. |
| 2-3% | Good | Within NEC 3% guideline for branch circuits | Acceptable for most applications. Proceed with installation. |
| 3-5% | Marginal | Exceeds branch circuit recommendation but within total limit | Consider larger wire, especially for motors or sensitive loads. |
| 5-10% | Poor | Exceeds NEC maximum; efficiency loss and potential issues | Upgrade wire size. Motors may overheat, lights will dim. |
| >10% | Critical | Severe loss; equipment may malfunction or fail | Must upgrade wire. Consider shorter run or higher voltage. |
| Load Type | Voltage Drop Tolerance | Symptoms of Excessive Drop |
|---|---|---|
| Incandescent Lights | Somewhat tolerant (up to 5%) | Dimmer output, warmer color temperature, reduced lifespan |
| LED Lights | Sensitive (keep under 3%) | Flickering, uneven brightness, driver failure in extreme cases |
| Motors | Critical (keep under 3%) | Overheating, difficulty starting, reduced torque, tripped overloads |
| Electronics/Computers | Very sensitive (keep under 2%) | Erratic behavior, data errors, premature component failure |
| Resistive Heaters | Tolerant (up to 5%) | Longer time to reach temperature, reduced heat output |
| Welders | Critical (keep under 2%) | Poor arc stability, weak welds, overheating |
The power loss value shows how much energy is wasted as heat in your conductors. This has two important implications:
Consider targeting lower voltage drop (under 2%) in these situations:
Use this table as a starting point for common residential and commercial applications. Always verify voltage drop for your specific circuit length.
| Application | Typical Voltage | Typical Current | Minimum Wire | Recommended for Long Runs |
|---|---|---|---|---|
| General lighting circuit | 120V | 15A | 14 AWG | 12 AWG (>50 ft) |
| Kitchen/bath outlets | 120V | 20A | 12 AWG | 10 AWG (>75 ft) |
| Electric dryer | 240V | 30A | 10 AWG | 8 AWG (>75 ft) |
| Electric range | 240V | 50A | 6 AWG | 4 AWG (>50 ft) |
| EV charger (Level 2) | 240V | 40-50A | 6 AWG | 4 AWG (>75 ft) |
| Central A/C (3-ton) | 240V | 20-25A | 10 AWG | 8 AWG (>100 ft) |
| Subpanel feeder (60A) | 240V | 60A | 6 AWG | 4 AWG (>100 ft) |
| Subpanel feeder (100A) | 240V | 100A | 3 AWG | 2 AWG (>75 ft) |
| 12V landscape lighting | 12V DC | 5-10A | 12 AWG | 10-8 AWG (always verify!) |
| Solar panel strings | 48V DC | 10-40A | 10 AWG | 6-4 AWG (roof to inverter) |
Note: "Minimum Wire" refers to NEC ampacity requirements. "Recommended for Long Runs" accounts for voltage drop. For circuits over the lengths indicated, calculate your specific voltage drop to determine the correct wire size.
Choosing between copper and aluminum conductors involves trade-offs in resistance, cost, weight, and installation requirements.
| Factor | Copper | Aluminum |
|---|---|---|
| Resistance (relative) | 1.0× (baseline) | 1.6× higher (requires larger wire) |
| Weight (same ampacity) | 1.0× (baseline) | 0.5× lighter (half the weight) |
| Material cost | Higher (≈$3-5/lb) | Lower (≈$1-2/lb) |
| Installed cost (same ampacity) | Higher overall | 20-40% savings on large feeders |
| Thermal expansion | Lower | Higher (requires special terminations) |
| Oxide formation | Conductive oxide | Insulating oxide (requires antioxidant) |
| Typical applications | Branch circuits, all sizes | Large feeders, service entrance (4 AWG+) |
| NEC requirements | Standard terminations | AL-rated terminations required |
For voltage drop calculations, remember that aluminum requires approximately 1.5-2 wire sizes larger than copper to achieve the same voltage drop. For example, if copper 6 AWG meets your requirements, aluminum 4 AWG would be the equivalent.
This reference table shows the maximum one-way wire length (in feet) to stay within the NEC 3% voltage drop guideline for common circuit configurations using copper wire.
| Circuit | 14 AWG | 12 AWG | 10 AWG | 8 AWG | 6 AWG | 4 AWG |
|---|---|---|---|---|---|---|
| 120V / 15A | 57 ft | 91 ft | 145 ft | 231 ft | 366 ft | 584 ft |
| 120V / 20A | — | 68 ft | 109 ft | 173 ft | 275 ft | 438 ft |
| 240V / 20A | — | 136 ft | 218 ft | 347 ft | 550 ft | 877 ft |
| 240V / 30A | — | — | 145 ft | 231 ft | 366 ft | 584 ft |
| 240V / 50A | — | — | — | 139 ft | 220 ft | 351 ft |
| 12V DC / 10A | 11 ft | 18 ft | 29 ft | 46 ft | 73 ft | 117 ft |
| 12V DC / 20A | 6 ft | 9 ft | 15 ft | 23 ft | 37 ft | 58 ft |
| 48V DC / 20A | 23 ft | 36 ft | 58 ft | 92 ft | 147 ft | 234 ft |
How to use: Find your circuit voltage and current in the left column. Read across to find the maximum one-way distance for each wire size. If your actual distance exceeds the table value, use the next larger wire size or calculate your exact voltage drop using this calculator.
Note: Values assume copper conductors at 75°C and power factor of 1.0. For aluminum, multiply distances by approximately 0.6.