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How to compute capacitor capacitance by energy in Python using UliEngineering

You can easily compute the capacitance required to store a specific amount of energy at a given voltage using the UliEngineering Python library:

capacitor_capacitance_by_energy.py
from UliEngineering.Electronics.Capacitors import capacitor_capacitance_by_energy
from UliEngineering.EngineerIO import *

# Compute capacitance to store 1mJ at 5V
capacitance = capacitor_capacitance_by_energy("5V", "1mJ")
print(f"Capacitance for 1mJ at 5V: {format_value(capacitance, 'F')}")

# Compute capacitance to store 72nJ at 12V
capacitance = capacitor_capacitance_by_energy("12V", "72nJ")
print(f"Capacitance for 72nJ at 12V: {format_value(capacitance, 'F')}")

Example output

capacitor_capacitance_by_energy_output.txt
Capacitance for 1mJ at 5V: 80.0 µF
Capacitance for 72nJ at 12V: 1.00 nF

This calculation determines the capacitance needed to store a specific amount of energy at a given voltage. This is useful for capacitor selection in power supply design, energy storage systems, and determining component requirements for pulse circuits. The relationship shows that required capacitance decreases with the square of the voltage for a given energy.

The capacitance is computed using the formula: $C = \frac{2E}{V^2}$, where $C$ is the capacitance in farads, $E$ is the energy in joules, and $V$ is the voltage in volts. This is derived from the energy formula $E = \frac{1}{2} C V^2$, rearranged to solve for capacitance.

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