Verified Mathematical Model & Formulation
Full Charge Cost = (Battery kWh / Charger Efficiency) × Electricity Rate ($/kWh) EV Cost / Mile = Electricity Rate / (Miles per kWh) Gas Cost / Mile = Gas Price ($/gal) / Gas Car MPG Annual Savings = (Gas Cost/Mile - EV Cost/Mile) × Annual Mileage
Calculates true charging expense by accounting for Level 1/2 home charging grid loss (~85-90% efficiency) and directly contrasts per-mile energy expenditure against internal combustion vehicle efficiency.
Configurable Parameters & Standard Units
- EV Usable Battery Pack (kWh): (Default: 75 kwh)
- Electricity Cost ($ / kWh): (Default: 0.16 usd)
- EV Driving Efficiency (Miles / kWh): (Default: 3.4 count)
- Annual Mileage (Miles / Year): (Default: 12000 count)
- Comparison Gas Price ($ / Gallon): (Default: 3.65 usd)
- Comparison Gas Car Economy (MPG): (Default: 28 count)
Standard Worked Example & Practical Verification
Scenario: Driving 12,000 miles per year with a 75 kWh EV (3.5 mi/kWh) at $0.15/kWh electricity vs a 28 MPG gas SUV at $3.60/gallon.
Practical Takeaway: Switching to electric reduces fuel expenses by over 62% at standard home residential electric tariffs.
Frequently Asked Questions
Is home charging cheaper than DC fast charging (Supercharging)?
Yes. Residential home off-peak charging typically costs $0.12 to $0.20 per kWh, whereas commercial DC fast charging often ranges from $0.35 to $0.55+ per kWh.
How much energy is lost while charging an EV?
AC charging systems lose between 10% and 15% of grid electricity as heat during AC-to-DC rectification and onboard battery thermal conditioning.