Volts to Joules Calculator
Convert volts to joules using electric charge: E = V × Q. Calculate the energy transferred when a charge in coulombs moves through a voltage.
ENERGY
120 J
IN kJ
0.12 kJ
FORMULA
J = V × C
IN Wh
0.033 Wh
💡 How to Convert Volts to Joules
To convert volts to joules, multiply the voltage by the charge in coulombs. A volt is defined as one joule per coulomb, so energy (J) = voltage (V) × charge (C). Volts alone can't be converted to joules: you always need the amount of charge that moves.
Volts to joules formula
E = energy in joules, V = voltage in volts, Q = charge in coulombs
Example: 12 V × 10 C = 120 J
Worked examples
- Car battery delivering 100 Ah: 100 Ah = 100 × 3,600 = 360,000 C. At 12 V, 12 × 360,000 = 4,320,000 J (4.32 MJ, or 1.2 kWh).
- AA alkaline cell: roughly 2.5 Ah = 9,000 C at a nominal 1.5 V gives about 13,500 J. Real output is lower because the voltage falls as the cell discharges.
- Single electron through 1 V: 1.6022e-19 C × 1 V = 1.6022e-19 J, the definition of one electronvolt (eV).
Volts to joules table
| Voltage (V) | Charge (C) | Energy (J) |
|---|---|---|
| 1.5 | 1 | 1.5 |
| 1.5 | 9,000 | 13,500 |
| 3.7 | 18,000 | 66,600 |
| 5 | 10 | 50 |
| 9 | 100 | 900 |
| 12 | 10 | 120 |
| 12 | 360,000 | 4,320,000 |
| 120 | 1 | 120 |
| 230 | 2 | 460 |
| 1,000 | 0.5 | 500 |
The units behind the formula
- Joule (J): the SI unit of energy. 1 J = 1 watt for 1 second = 1 volt × 1 coulomb.
- Volt (V): electric potential difference, defined as 1 joule of energy per coulomb of charge.
- Coulomb (C): electric charge. One coulomb is the charge carried by a current of 1 ampere in 1 second, about 6.242 × 1018 electrons.
- Watt (W): power, the rate of energy transfer. 1 W = 1 J per second.
Converting amp-hours to coulombs
Battery capacity is usually given in amp-hours or milliamp-hours. Convert to coulombs with 1 Ah = 3,600 C and 1 mAh = 3.6 C, then multiply by voltage. The result in joules divided by 3,600 gives watt-hours.
Capacitors are different
E = V × Q assumes the charge moves through a constant voltage, as with a battery. A capacitor charged from 0 V up to V stores only E = ½ × Q × V (or ½ × C × V²), because the voltage rises as charge builds up. Use the capacitance to charge calculator for capacitor problems.
Related conversions: joules to volts · watts to joules · joules to watts