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Calculators/Physics/Electron drift velocity
Physics

Electron drift velocity calculator

Average speed of charge carriers moving through a current-carrying wire.

What this calculator does

Electron drift velocity works out average speed of charge carriers moving through a current-carrying wire. Enter your own figures above and the answer updates as you type: nothing is fixed in the code, so the result reflects exactly the numbers you supply.

The formula this calculator evaluates is printed under the tool and explained below, so you can check the working by hand or reuse it in a spreadsheet.

The formula

Formulav_d = I / (nAq), q = 1.602176634×10⁻¹⁹ C (exact)

The inputs explained

FieldWhat to enter
Current (A)A number, measured in A. Starts at 10.
Charge carrier density (copper ≈ 8.5×10²⁸) (/m³)A number, measured in /m³. Starts at 8.5e+28.
Wire cross-section area (mm²)A number, measured in mm². Starts at 1.

Worked examples

Every figure in the tables below is produced by this page’s own calculator at build time, so the numbers and the tool always agree. Select any row to load that scenario.

How the answer changes with current

Every other input is held at the calculator’s starting values while current varies. Select any row to load that scenario into the calculator.

How the answer changes with current
Current (A)Drift velocityDrift velocityCurrent density
50.000367 m/s0.367 mm/s5.0000e+6 A/m²
7.50.000551 m/s0.551 mm/s7.5000e+6 A/m²
100.000734 m/s0.734 mm/s1.0000e+7 A/m²
150.001101 m/s1.101 mm/s1.5000e+7 A/m²
200.001469 m/s1.469 mm/s2.0000e+7 A/m²
300.002203 m/s2.203 mm/s3.0000e+7 A/m²