Calculator
Formula used
This calculator uses standard capacitor energy relationships. All inputs are converted to SI units first, then the chosen equation is applied.
- E = ½ C V² when capacitance C and voltage V are known.
- E = ½ Q V when charge Q and voltage V are known.
- E = Q² / (2C) when charge Q and capacitance C are known.
How to use this calculator
- Select the input method that matches your available measurements.
- Enter values and pick units for capacitance, voltage, or charge.
- Set N if you have identical capacitors storing energy.
- Press Calculate to see results above the form.
- Use the export buttons to download a CSV or PDF report.
Example data table
| Capacitance | Voltage | Method | Energy (J) |
|---|---|---|---|
| 10 µF | 5 V | ½CV² | 0.000125 |
| 47 µF | 12 V | ½CV² | 0.003384 |
| 1000 µF | 16 V | ½CV² | 0.128000 |
| — | 9 V | ½QV (Q = 500 µC) | 0.002250 |
Practical notes
- Stored energy rises with the square of voltage, so small voltage changes matter.
- For electrolytic capacitors, consider tolerance and leakage in real systems.
- In high-voltage circuits, always follow discharge and safety procedures.
1) What capacitor energy storage represents
A capacitor stores electric potential energy in its electric field. The stored energy depends on how much charge is separated and the voltage across the plates. In practical terms, this energy can support short bursts of power, smooth ripple, and stabilize sensitive loads.
2) Core equations used by the calculator
The calculator supports three standard relationships: E = ½CV², E = ½QV, and E = Q²/(2C). These forms are equivalent when the capacitor follows Q = CV. Selecting the method lets you compute energy from the measurements you actually have.
3) Why voltage matters so much
Energy grows with the square of voltage in the CV method. Doubling voltage increases stored energy by a factor of four. For example, a 1000 µF capacitor stores about 0.032 J at 8 V, but about 0.128 J at 16 V, assuming capacitance is constant.
4) Typical energy ranges you will see
Small ceramic capacitors (100 nF) at 5 V store roughly 1.25 µJ, which is useful for noise control rather than power delivery. Larger electrolytics (1000 µF) at 16 V store about 0.128 J, enough for brief hold‑up and transient support.
5) Scaling with multiple identical capacitors
If you have N identical capacitors each charged to the same voltage, total energy is N times the single‑capacitor energy. This is convenient for banked storage. The calculator includes N to compare designs quickly and to document total joules available in a module.
6) Unit conversion and reporting accuracy
Capacitance is entered in F, mF, µF, nF, or pF, and then converted to farads internally. Voltage and charge are also converted to base SI units. The results display joules plus kJ, mJ, and µJ to keep both tiny and large values readable.
7) Design and safety considerations
Stored energy is not the only limit. Real capacitors have ESR, leakage, and tolerance, which affect delivered power and discharge time. Always respect voltage ratings and safe discharge practices, especially for higher‑voltage banks where even a few joules can cause damage.
8) Common applications and interpretation
Use energy values to estimate hold‑up time, transient buffering, and energy available to a load during brief interruptions. For a rough hold‑up estimate, divide energy by average load power to get time, then refine using allowable voltage droop and circuit efficiency.
1) Which method should I choose?
Use CV when you know capacitance and voltage. Use QV when you have charge and voltage. Use QC when you measured charge and capacitance but voltage is unknown.
2) Why does energy increase with V squared?
For an ideal capacitor, charge grows linearly with voltage (Q = CV). Since energy integrates voltage over charge, the result becomes proportional to V² in the common ½CV² form.
3) Does capacitance stay constant at all voltages?
Not always. Some dielectrics (especially certain ceramics) show capacitance drop with DC bias, temperature, or aging. Treat results as ideal unless you have a derating curve for your part.
4) What does the “N” value represent?
N is the number of identical capacitors, each charged to the same voltage using the same input values. The calculator multiplies the single‑capacitor energy by N to show total stored energy.
5) Can I estimate hold‑up time from joules?
Yes. A quick estimate is time ≈ energy ÷ average power. For better accuracy, include allowable voltage droop, ESR losses, and regulator efficiency because usable energy may be less than ideal.
6) Why might my real system deliver less energy?
ESR causes heat during discharge, leakage drains energy over time, and tolerances change capacitance. In pulse loads, peak current limits can also prevent extracting the full ideal joules.
7) Is a few joules dangerous?
It can be. Higher voltage banks can deliver very high peak currents and produce sparks or burns. Always follow safe discharge procedures and use resistors, bleeders, and insulated tools when testing.