Capacitance Charge & Energy Calculator

The Formulas

The formulas for calculating capacitor charge and energy are:

\[Charge (Q) = Capacitance (C) \times Voltage (V)\] \[Energy (E) = \frac{1}{2} \times Capacitance (C) \times Voltage^2 (V^2)\]

Where:

• Charge (Q): The amount of electrical charge stored in the capacitor (in Coulombs, C)
• Energy (E): The energy stored in the capacitor (in Joules, J)
• Capacitance (C): The capacitance of the capacitor (in Farads, F)
• Voltage (V): The voltage across the capacitor (in Volts, V)

Calculation Steps

1. Identify the capacitance (F) and voltage (V)
2. Calculate the charge using Q = C × V
3. Calculate the energy using E = 0.5 × C × V²

Example Calculation

Let's calculate the charge and energy for a 47 µF capacitor charged to 12 V:

\[Charge = 47 \times 10^{-6} F \times 12 V = 5.64 \times 10^{-4} C\] \[Energy = 0.5 \times 47 \times 10^{-6} F \times (12 V)^2 = 3.384 \times 10^{-3} J\]

Visual Representation

This visual shows a fully charged capacitor with its calculated charge and stored energy based on our example calculation.