E-Bike Range Estimation from Battery Capacity and Controller Current (A Simple First-Order Model)

E-Bike Range Estimation from Battery Capacity and Controller Current (A Simple First-Order Model)

If we simplify e-bike range estimation to just two variables—battery capacity (Ah) and controller output current (A)—we can quickly approximate runtime and range. This first-order model helps you sanity-check marketing claims before factoring in real-world variables.

A Simple First-Order Model: Ah ÷ A = Hours

Battery capacity in amp-hours (Ah) divided by average current draw (A) gives an estimated runtime in hours (h):
Runtime (h) ≈ Capacity (Ah) ÷ Current (A)

Worked Example: 13.4 Ah Battery with 12 A Current

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