Capacitance to Charge Calculator

Calculate Electric Charge from Capacitance and Voltage

How to Calculate Electric Charge from Capacitance and Voltage

Calculating the electric charge stored in a capacitor is a fundamental task in electrical engineering and physics. This process involves understanding the relationship between capacitance, voltage, and charge. Our calculator simplifies this calculation, but it's important to understand the underlying principles.

Calculation Formula

The formula to calculate electric charge from capacitance and voltage is:

\[Q = C \times V\]

Where:

  • Q is the electric charge in Coulombs (C)
  • C is the capacitance in Farads (F)
  • V is the voltage in Volts (V)

Calculation Steps

  1. Identify the capacitance of the capacitor in Farads (F)
  2. Determine the voltage across the capacitor in Volts (V)
  3. Multiply the capacitance by the voltage to get the charge in Coulombs (C)
  4. Round the result to an appropriate number of significant figures

Example Calculation

Let's calculate the charge for a 470 µF capacitor charged to 12 V:

  1. Capacitance: 470 µF = 470 × 10^-6 F = 0.00047 F
  2. Voltage: 12 V
  3. Calculate charge: \[Q = C \times V = 0.00047 \text{ F} \times 12 \text{ V} = 0.00564 \text{ C}\]
  4. Rounding to 3 significant figures: 5.64 mC

Therefore, the charge stored in the 470 µF capacitor at 12 V is 5.64 mC (milliCoulombs).

Calculation Visualization

Capacitance Voltage Charge 470 µF 12 V 5.64 mC Capacitance, Voltage, and Charge Comparison

This bar chart visually compares the capacitance (470 µF), voltage (12 V), and resulting charge (5.64 mC) from our example calculation. The height of each bar is proportional to its value, illustrating the relationship between these three quantities in a capacitor.