Wire Size Calculation Formula
The cross-sectional area of a conductor carrying 100 amps depends on four primary factors: the resistivity of the material (adjusted for operating temperature), the one-way distance from source to load, the system configuration (single-phase or three-phase), and the allowable voltage drop. Most electrical codes permit a maximum 3–5% drop to prevent equipment malfunction.
A = (2 × ρ × L × φ) ÷ (V × %drop)
A— Wire cross-sectional area in square millimetresρ— Electrical resistivity of conductor material (Ω·mm²/m), adjusted for temperatureL— One-way cable run distance in metresφ— Phase factor: 1 for single-phase, √3 (≈1.732) for three-phase systemsV— Source voltage in volts%drop— Allowable voltage drop as a decimal (e.g., 0.05 for 5%)
How to Use the 100 Amp Wire Sizing Tool
Start by confirming your system operates at 100 amperes of alternating current. Select the electrical configuration—single-phase or three-phase—which affects the phase factor in the formula. Enter the nominal source voltage (e.g., 120 V, 208 V, 240 V, 277 V, 480 V depending on your installation).
Next, choose your conductor material: copper and aluminium are standard, each with different resistivity values. Specify the maximum operating temperature the wire will experience under load—this affects resistivity due to the temperature coefficient of the material. Define your acceptable voltage drop (typically 3% for branch circuits, 5% for feeder runs combined with branch circuits).
Finally, measure the one-way distance from the power source to the furthest load point. The calculator will return the minimum wire cross-sectional area in mm² and the corresponding AWG (American Wire Gauge) size. Always round up to the next standard AWG if your result falls between gauges.
Why Temperature and Material Matter
Electrical resistivity increases with temperature. A copper conductor at 60 °C has roughly 20% higher resistance than the same wire at 20 °C, due to increased atomic vibration impeding electron flow. This effect is quantified by the temperature coefficient of resistance. Aluminium exhibits even greater temperature sensitivity than copper.
Copper conducts about 60% better than aluminium at the same cross-section, making it the preferred choice for high-current applications despite higher cost. If you use aluminium, you will need a larger wire gauge to carry the same current with equivalent safety margins.
The calculator accounts for temperature derating—wires do not carry their nameplate ampacity at elevated temperatures. A 2 AWG copper conductor might safely carry 95 A at 20 °C, but only 75 A at 60 °C. Always consult local electrical codes (NEC, IEC, etc.) for your region's derating tables.
Critical Considerations for 100 Amp Installations
Several overlooked factors can compromise safety and performance in high-current circuits.
- Voltage drop accumulates over distance — A 5% total drop allowed by code may already include branch circuits downstream of your feeder. A 100 A feeder over 150 feet (45 m) at 240 V with a 3% drop limit requires about 2/0 AWG copper. If you then add branch circuits, you risk exceeding code limits. Always calculate the entire circuit path.
- Temperature derating is mandatory, not optional — Ambient temperature and conduit temperature rise (due to conductor losses) both derate ampacity. A wire in a hot attic or buried in insulation carries far less current safely than the same gauge in free air. Check NEC Table 310.15(B)(2) or equivalent in your code for derating factors.
- Resistance changes at high frequencies — AC impedance (not just DC resistance) governs voltage drop in AC circuits. This is especially critical for three-phase systems and very long runs. The calculator uses the correct phase factor, but confirm your frequency is 50 or 60 Hz, as certain industrial equipment may differ.
- Mechanical strength and fault current — Larger conductors are mechanically stronger during installation and less prone to vibration damage. They also better withstand short-circuit heating. A 6 AWG wire might carry 100 A at normal load but fail catastrophically in a fault scenario. Size for both continuous load and available fault current in your system.
Real-World Example: Three-Phase 480 V Feeder
A factory receives three-phase power at 480 V and must deliver 100 A to a motor control centre 200 feet (61 m) away. Using copper (resistivity 0.0171 Ω·mm²/m), a maximum wire temperature of 60 °C, and a 5% voltage drop allowance:
- Phase factor φ = √3 ≈ 1.732 (three-phase)
- Allowable drop = 0.05 × 480 = 24 volts
- Required area A = (2 × 0.0171 × 61 × 1.732) ÷ (480 × 0.05) ≈ 7.6 mm²
This corresponds to roughly 10 AWG copper. However, always verify that the wire's ampacity at 60 °C (derating from the 90 °C nameplate rating) meets or exceeds 100 A. In this case, 10 AWG copper is rated 55 A at 60 °C—too small. You would need to use 6 AWG or larger, even though voltage drop alone permits smaller gauge. This illustrates why the calculator's systematic approach prevents dangerous undersizing.