Capacitor Energy
Energy stored in a capacitor.
Formula
Variables
How it works
This formula gives the electrical potential energy a capacitor stores when it has charge separated across its plates. It comes from the work needed to move charge onto the capacitor: as more charge builds up, the voltage rises, so the average voltage during charging is half the final voltage, which leads to the factor of 1/2. The stored energy depends on both how much charge the capacitor can hold (capacitance) and how high the voltage is, with voltage having a particularly strong effect because the energy scales with V^2.
When to use it
Use this when you need to find how much energy is stored in a capacitor in a circuit, such as in flash units, power backup circuits, timing circuits, or energy-storage calculations. It is also useful when comparing different capacitor-voltage combinations to see which stores more energy.
Worked example, step by step
A capacitor of 220 \u03bcF is charged to 12 V. Step 1: Convert capacitance to farads: C = 220 \u03bcF = 220 \u00d7 10^-6 F = 2.20 \u00d7 10^-4 F Step 2: Substitute into E = 1/2 CV^2 E = 1/2 \u00d7 (2.20 \u00d7 10^-4) \u00d7 (12)^2 Step 3: Square the voltage: 12^2 = 144 E = 0.5 \u00d7 2.20 \u00d7 10^-4 \u00d7 144 Step 4: Multiply the numbers E = 1.584 \u00d7 10^-2 J Final answer: E \u2248 0.0158 J, or 15.8 mJ
Common mistakes to avoid
- Using capacitance in microfarads without converting to farads
- Forgetting to square the voltage term
- Mixing up capacitor energy with power, which is measured in watts rather than joules
Did You Know?
A camera flash dumps a capacitor's stored energy in milliseconds, producing a burst far brighter than its battery could.
Share this formula
More in Electronics & Circuits
View allOhm's Law
BasicVoltage equals current times resistance.
Electrical Power (VI)
BasicPower dissipated by a component.
Power (I²R)
BasicPower lost as heat in a resistor.
Power (V²/R)
BasicPower from voltage and resistance.
Resistors in Series
BasicSeries resistances add directly.
Resistors in Parallel
IntermediateReciprocals of parallel resistances add.