Automotive & Engines
Intermediate

EV Range

Electric-vehicle range from battery capacity and consumption.

Formula

R=EcR = \frac{E}{c}

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Variables

RRange (km)
EBattery energy (kWh)
cConsumption (kWh/km)

Example

75 kWh, 0.16 kWh/km: R ≈ 469 km

How it works

This formula estimates how far an electric vehicle can travel by dividing the usable battery energy by the energy the vehicle uses per kilometre. It works because range is just "how much energy you have" spread over "how much energy you spend for each kilometre". The result is an idealised range under the stated consumption, so real-world driving conditions like speed, hills, weather, and cabin heating can change it.

When to use it

Use this when planning an EV trip, comparing different battery sizes, or estimating how changes in efficiency affect driving distance. It is also useful in design and testing when you know a vehicle’s energy consumption and want to predict theoretical range.

Worked example, step by step

Given: E = 64 kWh, c = 0.20 kWh/km Step 1: Write the formula: R = E / c Step 2: Substitute the values: R = 64 / 0.20 Step 3: Calculate: R = 320 Final answer: R = 320 km

Common mistakes to avoid

  • Using miles and kilometres together without converting units first
  • Dividing consumption by energy instead of energy by consumption
  • Using the full battery rating without considering that not all of it may be usable

Did You Know?

Cold weather can cut EV range by 30% as heating and battery chemistry both suffer.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026