Capacitance Formula:
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Definition: This calculator determines the required capacitance of a supercapacitor based on the energy needed and operating voltage.
Purpose: It helps engineers and electronics enthusiasts design power systems using supercapacitors for energy storage.
The calculator uses the formula:
Where:
Explanation: The energy stored in a capacitor is proportional to the square of the voltage and its capacitance.
Details: Proper sizing ensures sufficient energy storage for the application while maintaining safe operating voltages.
Tips: Enter the required energy in Joules and the operating voltage (default 2.7V, typical for supercapacitors). All values must be > 0.
Q1: Why is voltage squared in the formula?
A: The energy stored in a capacitor is proportional to the square of the voltage (E = 0.5CV²).
Q2: What's a typical supercapacitor voltage?
A: Most commercial supercapacitors operate at 2.7V, with higher voltage systems using multiple capacitors in series.
Q3: How do I calculate energy requirements?
A: Energy (J) = Power (W) × Time (s). For example, 10W for 5 seconds = 50J.
Q4: Can I use this for regular capacitors?
A: Yes, but most regular capacitors have much smaller capacitance values (microfarads to millifarads).
Q5: How does this relate to battery sizing?
A: Supercapacitors provide short-term high-power bursts, while batteries are better for long-term energy storage.