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Estimate battery charging time, grid energy consumption, and charging cost for any electric vehicle based on charger power, efficiency, and electricity rates.
Step By Step
Worked Example
Use this sample to sanity-check your inputs and understand what the final result represents.
Final Result
It will take 4 hours 39 minutes and cost $7.67 to add 60% charge, drawing 51.14 kWh from the power grid.
Methodology
This section explains the calculation logic, assumptions, and source material used to make the result more trustworthy and easier to verify.
Energy Stored in Battery (kWh) = Capacity (kWh) × (Target% − Start%) ÷ 100. Grid Energy Drawn (kWh) = Energy Stored ÷ Efficiency. Charging Duration (Hours) = Energy Stored ÷ (Charging Power kW × Efficiency). Charging Session Cost = Grid Energy Drawn × Electricity Rate per kWh. Estimated Range Added = Energy Stored × Vehicle Efficiency (km/kWh or miles/kWh). DC Fast Charger curves typically slow down power draw exponentially once the battery level crosses 80%.
The charging time formula is: Charging Time (Hours) = (Target Battery % - Start Battery %) * Battery Capacity (kWh) / (100 * Charging Power kW * Charging Efficiency). For example, charging a 60 kWh battery from 10% to 80% on a 7 kW home charger at 88% efficiency takes: (70 * 60) / (100 * 7 * 0.88) = 4,200 / 616 ≈ 6.8 hours (6 hours 49 minutes).
Charging an electric vehicle involves AC-to-DC conversion (for AC chargers) and heat generation, resulting in energy loss. AC charging (Level 1 and Level 2) is typically 85-90% efficient (10-15% loss). DC Fast charging bypasses the vehicle's onboard charger and is more efficient, around 95% (5% loss). This means your electricity bill will reflect 5% to 15% more kWh than what is stored in the car's battery.
Lithium-ion EV batteries charge in phases. Constant Current (CC) phase is fast, but once the battery reaches around 80% capacity, it switches to Constant Voltage (CV) phase. During CV, the battery management system (BMS) lowers charging power (kW) progressively to prevent overheating, cell degradation, and thermal runaway. Charging from 80% to 100% can often take as long as charging from 10% to 80%.
To find the charging cost, calculate the total energy drawn from the grid (adding energy losses) and multiply it by your local electricity rate: Charging Cost = (Energy Needed in kWh / Charging Efficiency) * Electricity Rate per kWh. For instance, adding 50 kWh to a battery at 88% efficiency draws 56.8 kWh from the grid. At an electricity rate of ৳8.50/kWh, the cost is 56.8 * 8.50 ≈ ৳483.
Range gained depends on charging speed and your vehicle's energy efficiency (measured in km/kWh or miles/kWh). Range Gained per Hour = Charging Power (kW) * Charging Efficiency * EV Efficiency. For a mid-size EV with an efficiency of 6 km/kWh, a 7 kW home charger at 88% efficiency adds: 7 * 0.88 * 6 = 36.96 km of range per hour of charging.
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45.0 kWh
51.1 kWh
+275 km
+171 mi