Capacitor Energy & Charge Calculator 

Capacitor Energy & Charge Calculator

Capacitor Energy & Charge Calculator

Calculate capacitor energy and charge with multiple unit options

Capacitor Energy & Charge: Energy Storage Guide

Calculate the energy stored in a capacitor and understand the principles of capacitive energy storage with practical examples.

What is a Capacitor?

A capacitor is an electronic component that stores electrical charge and energy in an electric field. It consists of two conducting plates separated by an insulating material (dielectric).

Energy Storage Formulas

Main Energy Formula

E = ½ × C × V²

Where:

  • E = Energy in Joules (J)
  • C = Capacitance in Farads (F)
  • V = Voltage in Volts (V)

Alternative Energy Formulas

E = ½ × Q² / C E = ½ × Q × V

Where:

  • Q = Charge in Coulombs (C)

Charge Formula

Q = C × V

Practical Example

Energy Calculation

Given:

  • Capacitance (C) = 300 μF = 3×10⁻⁴ F
  • Voltage (V) = 20 V

Energy Stored:

E = ½ × 3×10⁻⁴ F × (20 V)² = 60 mJ

Charge Stored:

Q = 3×10⁻⁴ F × 20 V = 6 mC

LC Circuits

Energy Transformations

In an LC circuit (inductor-capacitor circuit):

  • The capacitor’s potential energy continuously transforms into the inductor’s magnetic energy
  • This oscillation occurs at the circuit’s resonant frequency
  • Common applications include signal processing and radio communication

FAQs

How does a capacitor store energy?

A capacitor stores energy in the form of electrostatic potential energy between its plates. When charged, it maintains an electric potential difference due to the separation of positive and negative charges.

Why is the energy formula divided by two?

The factor of ½ appears because the charging process is not ideal. The voltage across the capacitor increases linearly from 0 to V as it charges, resulting in an average voltage of V/2 during the charging process.

What affects a capacitor’s energy storage capacity?

The energy storage capacity depends on:

  • Capacitance value (determined by plate area and separation)
  • Applied voltage (higher voltage means more energy)
  • Dielectric material properties

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