Joules to Volts Calculator
Convert joules to volts using charge: V = E ÷ Q. Find the voltage when you know the energy transferred and the charge in coulombs.
J
C
VOLTAGE
12 V
FORMULA
V = J / C
ENERGY IN Wh
0.033 Wh
💡 How to Convert Joules to Volts
To convert joules to volts, divide the energy in joules by the charge in coulombs. This comes straight from the definition of the volt: one volt is one joule of energy per coulomb of charge.
Joules to volts formula
V = E ÷ Q
V = voltage in volts, E = energy in joules, Q = charge in coulombs
Example: 120 J ÷ 10 C = 12 V
V = voltage in volts, E = energy in joules, Q = charge in coulombs
Example: 120 J ÷ 10 C = 12 V
Worked examples
- Physics problem: 9 J of work moves 6 C of charge between two points, so the potential difference is 9 ÷ 6 = 1.5 V.
- Battery check: a battery delivers 86,400 J while supplying 2 Ah (7,200 C), so its average voltage was 86,400 ÷ 7,200 = 12 V.
- From electronvolts: an electron (1.602 × 10−19 C) gains 1.602 × 10−16 J, so it passed through 1,000 V, i.e. it gained 1 keV.
Joules to volts table
| Energy (J) | Charge (C) | Voltage (V) |
|---|---|---|
| 1 | 1 | 1 |
| 9 | 6 | 1.5 |
| 120 | 10 | 12 |
| 1,000 | 100 | 10 |
| 13,500 | 9,000 | 1.5 |
| 86,400 | 7,200 | 12 |
| 432,000 | 36,000 | 12 |
| 1,000,000 | 1,000 | 1,000 |
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.
When you know power and current instead
If you know power in watts and current in amps rather than energy and charge, use V = P ÷ I with the watts to volts calculator. It is the same relationship per second: watts are joules per second and amps are coulombs per second.
Related conversions: volts to joules · joules to watts · capacitance to charge
Volts = joules ÷ coulombs. 120 J ÷ 10 C = 12 V.