Capacitor Energy Storage Calculator – Joules, Charge & Runtime

Capacitor Energy Storage Calculator

Find the energy stored in a capacitor with E = 0.5 x C x V squared in joules, the stored charge Q = C x V in coulombs, and the equivalent in watt-hours. Switch to the usable-energy mode to see how much energy a capacitor delivers between an upper and lower voltage, and add a load power to estimate backup runtime.

Real Capacitor Presets

🔌Capacitor Inputs

Single voltage gives total stored energy; the other gives deliverable energy.

Enter the rated capacitance value.

1 uF = 0.000001 F, 1 mF = 0.001 F.

Charged voltage, kept at or below the rated voltage.

Fully charged starting voltage.

Minimum voltage your circuit still works at.

Average draw of the load, for a runtime estimate.

Controls rounding on every result card.

Stored energy 0 J E = 0.5 x C x V squared
Stored charge 0 C Q = C x V, in coulombs
Energy in watt-hours 0 Wh joules divided by 3600
Usable energy / runtime 0 J between V1 and V2

🔢Formula Snapshot

E0.5 C V squared
QC × V
WhJoules / 3600
tusable / power

📋Stored Energy for Common Capacitors

CapacitanceAt 12 VAt 25 VAt 50 V
470 uF0.0338 J0.1469 J0.5875 J
1000 uF0.0720 J0.3125 J1.2500 J
2200 uF0.1584 J0.6875 J2.7500 J
4700 uF0.3384 J1.4688 J5.8750 J
6800 uF0.4896 J2.1250 J8.5000 J
10000 uF0.7200 J3.1250 J12.500 J
22000 uF1.5840 J6.8750 J27.500 J

📊Joules to Watt-Hours Conversion

Energy (Joules)Watt-hours (Wh)Milliwatt-hours (mWh)Powers a 1 W Load
0.5 J0.000139 Wh0.139 mWh0.5 s
1 J0.000278 Wh0.278 mWh1 s
5 J0.001389 Wh1.389 mWh5 s
12.5 J0.003472 Wh3.472 mWh12.5 s
18.23 J0.005063 Wh5.063 mWh18.2 s
50 J0.013889 Wh13.89 mWh50 s
64 J0.017778 Wh17.78 mWh64 s
100 J0.027778 Wh27.78 mWh100 s

🗃Charge and Energy Comparison Grid

CapacitanceVoltageCharge QEnergy JEnergy WhTypical Use
1 mF10 V0.0100 C0.0500 J1.39e-5 WhRail decoupling
10 mF25 V0.2500 C3.1250 J8.68e-4 WhBulk smoothing
0.1 F12 V1.2000 C7.2000 J2.00e-3 WhRide-through
1 F5 V5.0000 C12.500 J3.47e-3 WhMCU backup
5 F2.7 V13.500 C18.225 J5.06e-3 WhSupercap store
100 uF300 V0.0300 C4.5000 J1.25e-3 WhCamera flash
10 mF50 V0.5000 C12.500 J3.47e-3 WhAmplifier rail
32 uF2000 V0.0640 C64.000 J1.78e-2 WhPulse discharge
1000 uF400 V0.4000 C80.000 J2.22e-2 WhPSU hold-up
470 uF330 V0.1551 C25.591 J7.11e-3 WhPhoto flash

Formula Breakdown

Energy E = 0.5 C V squaredStored energy in joules equals one half times capacitance in farads times voltage squared. A 5 F cap at 2.7 V holds E = 0.5 × 5 × 2.7 × 2.7 = 18.225 J.
Charge Q = C × VCharge in coulombs equals capacitance times voltage. That same 5 F cap at 2.7 V holds Q = 5 × 2.7 = 13.5 C of charge.
Watt-hours = J / 3600One watt-hour is 3600 joules, so 18.225 J is 18.225 / 3600 = 0.005063 Wh, about 5.06 mWh.
Usable = 0.5 C (V1 squared − V2 squared)Only the energy between the full voltage and your minimum voltage is deliverable. From 2.7 V down to 1.8 V a 5 F cap gives 0.5 × 5 × (7.29 − 3.24) = 10.125 J.
Runtime t = usable / PDivide usable energy by the average load power in watts. 10.125 J into a 0.25 W load lasts 10.125 / 0.25 = 40.5 seconds.
Unit multipliersConvert to farads first: 1 pF = 1e-12 F, 1 nF = 1e-9 F, 1 uF = 1e-6 F, 1 mF = 1e-3 F. The tool handles this from the unit dropdown.

💡Capacitor Energy Tips

Energy scales with voltage squared: Doubling the voltage quadruples the stored energy, while doubling the capacitance only doubles it. A 1000 uF cap at 50 V holds 1.25 J, but the same cap at 100 V holds 5.0 J, four times as much. Charging a higher-voltage capacitor is the most compact way to pack in energy, which is exactly why camera flashes and defibrillators run at hundreds or thousands of volts rather than at 5 V.
You only get the usable slice: A capacitor does not surrender all of its energy. Your circuit stops working once the voltage sags to its minimum, so only the energy between the full voltage and that cutoff is usable. A 1 F cap charged to 5 V holds 12.5 J, but if your regulator needs at least 3 V it can only draw 0.5 × 1 × (25 − 9) = 8 J, about 64 percent. Design for the usable energy, not the headline number.

What’s in there? What does this capacitor hold? Is it large enough to fire off a camera bulb or sustain your microcontroller through a power blip? It’s not simply a matter of capacity, whether you look at number written on label or the actual size of the component.

No, it’s also a matter of voltage: the volts across the plates of that capacitor. And voltage represents potential energy; voltage describes an electric field, and the field becomes stronger with each volt pumped into the system. Plugging in your variables to the calculator above spits out the math, but knowing why these things act the way they do makes all the difference when designing a circuit. You no longer guess; you engineer.

Why Voltage Matters for Capacitor Energy

That equation’s easy enough to draw on a napkin, E = 1/2*C*V^2. See that squared part? That’s what throws everyone off. People think if you double the capacitance, then you have twice as much energy. And sure, you do… until you remember that you doubled the voltage too, which makes it four times as much.

Five volts into a ten microfarad cap stores not much. Drop that exact same part down onto a twenty volt rail and all of a sudden you’ve got four times the punch. It’s all about the volts. Volts are the lever you pull to get more energy from less. Which is exactly why camera flashes operate at hundreds of volts instead of five. Density is the goal, and that’s why camera flashes runs at hundreds of volts rather then five.

The tool takes your inputs and turns them into joules, which is standard unit for this sort of thing. It also outputs in watt-hours so you can directly compare capacitors against batteries using units you’re already familiar with when making a power budget. Charge, however, is another animal altogether. According to the calculator, you have coulombs (Q = CV). But this is not how much energy there is.

If you had a big capacitor with a low voltage, it would have a great deal of charge, but not much energy. It is like a slow flowing wide river vs a narrow jet of fast-moving water. For pulsed power and run-time, you want energy. When you need to watch out for inrush limitations on your power supply or worry about current spikes, then you care about charge. Knowing the difference prevents you from sizing incorrectly later.

The thing about real circuits is they don’t discharge to zero volts; they keel over dead when the voltage drop below the level required by the chips involved. Which is why the usable energy is significant: it’s the amount of energy you get from your fully charged state down to the cutout point. For example, a one farad supercapacitor charged up to five volts contains twelve and a half joules of energy. But if your regulator quits at three volts, then you’ve got only eight joules of that. Anything less than that is wasted, sitting under the cutout point, locked away.

If you design for the number that sounds good (that headline number) you’ll get brownouts. If you design for the usable slice, you keep your system running. On the page there are some reference tables that explain how much energy is really available given common components, and in what conditions. From there comes runtime.

Divide your available energy by the amount of power your load requires. With a quarter-watt sensor drawing on ten joules of available energy, you get roughly forty seconds of running time. Sounds short…but sometimes that’s all you need to wait for a glitch to go away, or stash some data. The tool’s presets give real world examples, ranging from tiny coin cells used as backup memory through to larger electrolytic capacitors as an audio reservoir. There, you can see the tradeoffs between various kinds of capacitance and different voltage ranges. A higher voltage pulse capacitor holds more energy then a similarly sized bulk filter, for example.

Stick within the rated voltage. No exceptions. It is not advice or an option. Large electrolytic capacitors will either vent or fail electrically if you goes over this number. Charged components, especially at high voltages, are risky. Be careful and bleed them down first. The math is unforgiving but the safety rules won’t bend much for you. Run the calculator and figure out what your safe range of operation is. Then stay within it. If you get the numbers correct, the rest of the circuit holds up.

Capacitor Energy Storage Calculator – Joules, Charge & Runtime