Formula Sheet

Official-style AP reference. Hover a formula to copy its LaTeX.

Electrostatics

\vec{F} = \frac{1}{4\pi\epsilon_0}\frac{q_1 q_2}{r^2}\hat{r}

Coulomb's law

\vec{E} = \frac{\vec{F}}{q}

Electric field from force

\oint \vec{E}\cdot d\vec{A} = \frac{Q_{enc}}{\epsilon_0}

Gauss's law

V = \frac{1}{4\pi\epsilon_0}\frac{q}{r}

Potential of a point charge

C = \frac{Q}{V}

Capacitance

U_C = \tfrac{1}{2}CV^2

Energy stored in a capacitor

V = IR

Ohm's law

\tau = RC

RC time constant

\vec{F} = q\vec{v}\times\vec{B}

Magnetic force on a moving charge

\oint \vec{B}\cdot d\vec{l} = \mu_0 I_{enc}

Ampère's law

\varepsilon = -\frac{d\Phi_B}{dt}

Faraday's law of induction