The Farad to Wh Calculator helps convert the energy stored in a capacitor (measured in farads) into watt-hours (Wh), which is a standard unit used for measuring electrical energy. This conversion is useful in designing circuits, managing power storage, and calculating how much energy you can store and later use from devices like supercapacitors.
This tool belongs to the Electrical Energy Calculators category and plays a crucial role in energy efficiency analysis, renewable energy systems, and capacitor-based backup power solutions.
formula of Farad To Wh Calculator
To calculate the energy in watt-hours (Wh) from capacitance and voltage:
Energy (Wh) = (1/2) × C × V² / 3600
Where:
- C = Capacitance in farads (F)
- V = Voltage in volts (V)
- 3600 = Number of seconds in one hour (to convert joules to Wh)
Supporting Formula
The energy stored in joules (J) is:
E (J) = (1/2) × C × V²
To convert from joules to watt-hours:
1 Wh = 3600 J
So:
Wh = [(1/2) × C × V²] / 3600
Reference Table for Common Values
| Capacitance (F) | Voltage (V) | Stored Energy (Wh) |
|---|---|---|
| 1 | 2.7 | 0.0010 |
| 5 | 5 | 0.0347 |
| 10 | 5 | 0.0694 |
| 50 | 2.5 | 0.0434 |
| 100 | 2.5 | 0.0868 |
These values help quickly estimate how much usable energy is available without doing manual calculations every time.
Example of Farad To Wh Calculator
Suppose you have a capacitor with:
Capacitance = 10 farads
Voltage = 5 volts
Step 1: Use the formula
Wh = (1/2 × C × V²) / 3600
Step 2: Plug in the numbers
Wh = (1/2 × 10 × 5²) / 3600
Wh = (125) / 3600 ≈ 0.0347
So, this capacitor stores about 0.0347 watt-hours of energy.
Most Common FAQs
Because Farads only show the storage capacity of a capacitor. Watt-hours give a better idea of the usable energy, which is important in real-world applications like energy backup systems.
Yes. In fact, it's especially useful for supercapacitors, where energy storage and delivery in Wh is a key concern.
Yes. Since voltage is squared in the formula, even a small increase in voltage results in a much higher energy value.