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Capacitor Energy Calculator

· Last updated:2026-09-01

U = ½·C·V² with capacitance and voltage unit selectors, the stored charge Q = C·V, and auto-scaled energy output.

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Written by the Elysia Tools team

Tool usage guide

Learn when to use this tool, what it supports, and how real users apply it.

Key facts

Category
Science & Education
Input types
number, select
Output type
text
Sample coverage
4
API ready
Yes

Overview

The Capacitor Energy Calculator computes the electrical potential energy stored in an electrostatic field using the formula U = ½·C·V² and evaluates the total stored charge via Q = C·V. With flexible unit pickers for both capacitance and voltage, it provides instant, auto-scaled outputs in joules and coulombs without manual unit conversions.

When to use

  • Sizing pulse-power storage capacitors or backup supercapacitor banks for electronic devices.
  • Analyzing safety discharge requirements and stored energy levels in high-voltage circuit designs.
  • Solving physics and electrical engineering problems involving capacitance, voltage, charge, and energy.

How it works

  1. 1Enter the capacitance value and choose its unit (F, mF, µF, nF, or pF).
  2. 2Enter the operating voltage across the capacitor and select the voltage unit (mV, V, or kV).
  3. 3The tool normalizes inputs to base SI units (farads and volts), evaluates stored energy U = ½·C·V² and charge Q = C·V, and presents the formatted results.

Use cases

  • Hardware engineers calculating energy storage in decoupling capacitors and backup power rails.
  • Power electronics designers sizing high-voltage pulse capacitors for discharge systems and defibrillator circuits.
  • STEM educators and students verifying electromagnetism homework calculations and laboratory measurements.

Examples

1. Supercapacitor Backup Energy Analysis

Embedded Systems Engineer

Background

Designing an IoT sensor node with a single-cell supercapacitor to keep the real-time clock alive during battery swaps.

Problem

Need to determine total energy and charge available in a 1 F supercapacitor charged to 2.7 V.

How to use

Input 1 into Capacitance with unit 'F', and 2.7 into Voltage with unit 'V'.

Capacitance: 1 F, Voltage: 2.7 V

Outcome

Calculates an energy output of U = 3.645 J and a stored charge of Q = 2.7 C.

2. High-Voltage Pulse Capacitor Sizing

Biomedical Equipment Designer

Background

Specifying high-energy discharge stages for medical defibrillator circuitry.

Problem

Calculate the exact energy delivered by a 200 µF capacitor charged to 2 kV.

How to use

Set Capacitance to 200 with unit 'uF' (µF) and Voltage to 2 with unit 'kV'.

FAQ

What is the formula used to calculate stored energy in a capacitor?

Stored energy is calculated as U = ½·C·V², where C is capacitance in farads, V is potential difference in volts, and U is energy in joules.

How is stored electrical charge calculated?

Stored charge is computed using the relationship Q = C·V, yielding the total charge Q in coulombs.

Why does doubling the voltage quadruple the stored energy?

Energy scales quadratically with voltage (V²), meaning any multiplier applied to voltage increases energy by that multiplier squared.

Which capacitance and voltage units are supported?

Capacitance supports F, mF, µF, nF, and pF. Voltage supports millivolts (mV), volts (V), and kilovolts (kV).

Can I use this calculator for supercapacitors?

Yes, enter the rated capacitance in farads (F) and the cell working voltage in volts (V) to determine the energy and charge capacity.

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