Capacitor Charge & Energy Calculator
A charged capacitor stores both electric charge and energy, and both follow simple formulas. Enter the capacitance in microfarads and the working voltage, and this calculator returns the stored charge Q = C·V in coulombs and the stored energy E = ½·C·V² in joules, scaled to readable millis or micros. It is handy for sizing smoothing capacitors, estimating the punch of a camera-flash cap, or checking how much energy a bank can deliver before you ever touch a breadboard.
How to use the calculator
-
1
Enter the capacitance
Type the value in microfarads (µF). A 100 µF electrolytic is a common starting point.
-
2
Enter the voltage
Use the voltage actually across the capacitor, not the supply rail if there is a drop.
-
3
Read the charge and energy
The tool shows Q in mC or µC and E in mJ or µJ, updating as you type.
The formulas
A capacitor of capacitance C charged to voltage V holds a charge:
Q = C · V
and stores energy:
E = ½ · C · V²
Where:
- C is capacitance in farads (F). Microfarads convert with 1 µF = 0.000001 F.
- V is voltage in volts (V).
- Q is charge in coulombs (C).
- E is energy in joules (J).
Because energy depends on the square of the voltage, doubling the voltage quadruples the stored energy — while only doubling the charge.
Worked example
Take a 100 µF capacitor charged to 12 V.
- C = 100 µF = 0.0001 F
- Q = C · V = 0.0001 × 12 = 0.0012 C = 1.2 mC
- E = ½ · C · V² = 0.5 × 0.0001 × 12² = 0.5 × 0.0001 × 144 = 0.0072 J = 7.2 mJ
So this capacitor holds 1.2 mC of charge and 7.2 mJ of energy.
Quick reference
| Capacitance | Voltage | Charge (Q) | Energy (E) |
|---|---|---|---|
| 1 µF | 5 V | 5 µC | 12.5 µJ |
| 100 µF | 12 V | 1.2 mC | 7.2 mJ |
| 470 µF | 25 V | 11.75 mC | 146.9 mJ |
| 1000 µF | 50 V | 50 mC | 1250 mJ |
Pitfalls to avoid
- Watch the units. Capacitance is almost always printed in µF, nF or pF — convert to farads before doing math by hand. The calculator assumes the input is in µF.
- Respect the voltage rating. Never charge a capacitor above its rated voltage; the energy that makes it useful is also the energy that makes a failure violent.
- Large banks bite. A big, high-voltage capacitor can hold a dangerous charge long after power is removed. Always discharge through a resistor before handling.
- Energy ≠ charge. They scale differently with voltage — Q is linear, E is quadratic. Confusing the two is the classic mistake.
Frequently Asked Questions
Charge (Q = C·V) is the amount of electricity on the plates, in coulombs. Energy (E = ½·C·V²) is the work stored in the electric field, in joules. Charge grows linearly with voltage, but energy grows with the square of voltage, so high-voltage capacitors store far more energy than the charge alone suggests.
As a capacitor charges, the voltage rises from zero to its final value, so the average voltage during charging is half the final voltage. Integrating the charging process gives E = ½·C·V², the same one-half you see in the kinetic-energy formula.
Yes — first work out the combined capacitance (parallel: add them; series: reciprocals add), then enter that single equivalent value here along with the voltage across the combination.
No. The calculation runs entirely from the values you enter and nothing is uploaded, saved or shared. Your capacitance and voltage inputs stay in your own session.
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