Voltage Drop Calculator
Free voltage drop calculator for copper and aluminum conductors. Enter conductor size (AWG or mm²), one-way length, current, and system voltage to find voltage drop, percentage drop, and NEC compliance status.
Calculate voltage drop in electrical cables for single-phase circuits per NEC guidelines.
When electrical current flows through a wire, it loses some voltage along the way due to the resistance of the conductor. This is called voltage drop. Understanding and controlling voltage drop is essential for safe, efficient, and code-compliant electrical installations. This calculator uses the NEC (National Electrical Code) 3% guideline and the fundamental physics of conductor resistance to determine whether your cable sizing is adequate.
Why Voltage Drop Matters
Excessive voltage drop causes real problems:
- Equipment malfunction: Motors running at reduced voltage draw higher current, overheat, and fail prematurely.
- Dimming and flickering lights: Voltage-sensitive LEDs and fluorescent fixtures are noticeably affected at drops above 3–5%.
- Overheating conductors: Undersized wires carry excess current (due to the load drawing more current at lower voltage), causing insulation damage and fire risk.
- Reduced efficiency: Power lost as heat in conductors is wasted energy that adds to operating costs.
The NEC recommends a maximum of 3% voltage drop on branch circuits and a combined feeder + branch circuit drop of no more than 5%.
The Formula
For a single-phase AC or DC circuit, the voltage drop across both conductors (supply and return) is:
ΔV = (2 × ρ × I × L) / A
Where:
- ΔV = voltage drop (V)
- ρ = resistivity of conductor material (Ω·m): copper = 1.724×10⁻⁸, aluminum = 2.65×10⁻⁸
- I = current (A)
- L = one-way length (m)
- A = cross-sectional area (m²)
The percentage drop is: ΔV% = (ΔV / Vsource) × 100
AWG Wire Sizes
American Wire Gauge (AWG) is the US standard for wire diameter. Lower numbers mean thicker wire. Common residential wire sizes:
| AWG | Area (mm²) | Typical Use |
|---|---|---|
| 14 | 2.08 | 15A branch circuits |
| 12 | 3.31 | 20A branch circuits |
| 10 | 5.26 | 30A dryer/AC circuits |
| 8 | 8.37 | 40–50A range circuits |
| 6 | 13.3 | 60A sub-panels |
For metric installations, wire size is specified directly in mm².
Copper vs Aluminum
Copper is the preferred conductor for most residential and commercial wiring because:
- Higher conductivity (lower resistivity) means less voltage drop for the same wire size.
- Better mechanical properties — easier to terminate and more resistant to vibration.
Aluminum is used for:
- Large-capacity feeders and service entrance conductors.
- Overhead utility distribution lines.
- Cost savings on very large conductors (aluminum is significantly cheaper than copper per kilogram, though requires a larger size for equivalent performance).
Aluminum conductors require special connectors and anti-oxidant compound at terminations.
Worked Examples
Example 1 — 20A Branch Circuit
A 20A kitchen circuit (AWG 12 copper) runs 25 m to a distant outlet. System voltage is 120 V.
- A = 3.31 mm² = 3.31×10⁻⁶ m²
- ΔV = (2 × 1.724×10⁻⁸ × 20 × 25) / 3.31×10⁻⁶
- ΔV ≈ 5.21 V → 4.3% drop → Warning (exceeds 3% NEC limit)
- Solution: upgrade to AWG 10 (5.26 mm²) → ΔV ≈ 3.28 V → 2.7% ✓
Example 2 — European 230 V Circuit
A 6 mm² copper cable runs 50 m carrying 20A at 230 V.
- ΔV = (2 × 1.724×10⁻⁸ × 20 × 50) / 6×10⁻⁶ ≈ 5.75 V → 2.5% → OK
Three-Phase Circuits
This calculator assumes single-phase (or DC) circuits. For balanced three-phase systems, the formula changes:
ΔV₃φ = (√3 × ρ × I × L) / A
The three-phase voltage drop is approximately 86.6% of the single-phase result for the same wire size, length, and current.
Reference
National Electrical Code (NEC), NFPA 70, Article 210.19(A)(1) FPN No. 4. IEEE Std 399 — Recommended Practice for Industrial and Commercial Power Systems Analysis.