Electrostatic Potential and Capacitance — Formula Sheet

V = \frac{W}{q_0}

V = \frac{1}{4\pi\varepsilon_0} \frac{q}{r}

V = \frac{p \cos\theta}{4\pi\varepsilon_0 r^2}

E = -\frac{\Delta V}{\Delta r}

E = \frac{V}{d}

C = \frac{Q}{V}

C_0 = \frac{\varepsilon_0 A}{d}

C = K C_0

C_p = C_1 + C_2 + \cdots

\frac{1}{C_s} = \frac{1}{C_1} + \frac{1}{C_2} + \cdots

For a capacitor, $ C = Q/V $, where Q is charge on one plate and V is potential difference.

Capacitance (C) is the ability of a system to store charge per unit potential difference, defined as C = Q/V.

The energy is given by U = ½CV² = ½QV = Q²/(2C).