Joules to Volts Calculator

Convert energy (joules) to voltage and back, using capacitance. Instant, free, runs entirely in your browser.
Joules → Volts
Volts (V)
V = √(2J / C)
Volts → Joules
Joules (J)
J = ½ · C · V²

Common Capacitor Reference Values

CapacitorCapacitanceTypical use
Ceramic (small)1 pF – 1 µFFiltering, decoupling, RF
Film1 nF – 10 µFAudio, timing circuits
Electrolytic1 µF – 10,000 µFPower supply smoothing
Supercapacitor0.1 F – 3,000 FEnergy storage, backup power
Photoflash100 µF – 1,200 µFCamera flash, energy discharge

How to Convert Joules to Volts

Joules (J) measure energy, while volts (V) measure electric potential. You cannot convert one directly into the other without a third quantity, because they describe different physical properties. For a capacitor, that linking quantity is capacitance (measured in farads, F).

A charged capacitor stores energy according to the formula E = ½ · C · V². Rearranging this equation lets you find the voltage when you know the stored energy and the capacitance:

Joules to volts formula

V = √(2J / C) — divide twice the energy by the capacitance, then take the square root. The result is the voltage across the capacitor.

Volts to joules formula

J = ½ · C · V² — multiply half the capacitance by the square of the voltage to get the stored energy in joules.

This calculator runs both directions live as you type. Pick the capacitance unit (farads, millifarads, microfarads, nanofarads, or picofarads) that matches your component and the tool handles the conversion automatically. Everything is computed in your browser — nothing is uploaded to a server, so it works offline and stays private.

These relationships are used constantly in electronics design: sizing capacitors for camera flashes, defibrillators, power supplies, supercapacitor banks, and energy-discharge circuits all rely on the energy-voltage relationship shown above.

Frequently Asked Questions

Can you really convert joules to volts?

Not directly. Joules measure energy and volts measure potential. You need capacitance as the link. With the energy stored in a capacitor and its capacitance, you can find the voltage using V = √(2J / C).

What is the formula for joules to volts?

V = √(2J / C), where J is energy in joules and C is capacitance in farads. The result is voltage in volts.

Why do I need to enter capacitance?

Energy stored in a capacitor depends on both voltage and capacitance (E = ½CV²). Without knowing the capacitance, voltage cannot be determined from energy alone.

What units of capacitance can I use?

You can enter capacitance in farads (F), millifarads (mF), microfarads (µF), nanofarads (nF), or picofarads (pF). The calculator converts to farads internally before computing.

Is this calculator free and private?

Yes. It is completely free, requires no signup, and runs entirely in your browser. No data is sent to any server.