📚 Theory

Capacitance relates the magnitude of the charge stored on each plate to the electric potential difference created by the separation of those charges.

Capacitance Formula:

$$C = \frac{Q}{\Delta V}$$

Where:

  • $C$ = Capacitance (Farads, F)
  • $Q$ = Charge stored on one plate (Coulombs, C)
  • $\Delta V$ = Potential difference (Volts, V)

This relationship shows that:

  • For a given capacitance, more charge means higher voltage
  • For a given voltage, higher capacitance means more charge can be stored
  • The capacitance is a property of the capacitor's geometry and materials

🎛️ Capacitor-Battery Simulator

6.0 V
2.0 μF
Charge on Plates: 12.0 μC

📝 Exercises

Find Capacitance

A capacitor stores a charge of $0$ $\mu\mathrm{C}$ when connected to a voltage of $0$ V. What is the capacitance?

$\mu\mathrm{F}$