AP Physics 2 Review Sheet

Unit 2: Electric

F = k \frac{| q_{1} q_{2} |}{r^{2}}

k = \frac{1}{4 π ϵ_{0}}

E = \frac{F}{q} = \frac{k q}{r^{2}}

\vec{E} = \frac{\sum F}{q} = \sum_{i} \vec{E_{i}}

W_{a b} = F d = q E d

U = k \frac{q_{1} q_{2}}{r} = k \frac{q Q}{r}

U = \frac{q_{0}}{4 π ϵ_{0}} \sum_{i} \frac{q_{i}}{r_{i}} = k q_{0} \sum_{i} \frac{q_{i}}{r_{i}}

U = q V

V = \frac{U}{q} = k \frac{q}{r}

V = \frac{1}{4 π ϵ_{0}} \sum_{i} \frac{q_{i}}{r_{i}} = k \sum_{i} \frac{q_{i}}{r_{i}}

E = \frac{V}{d}

C = \frac{Q}{V_{a b}} = ϵ_{0} \frac{A}{d}

E = \frac{σ}{ϵ_{0}} = \frac{Q}{ϵ_{0} A}

V_{a b} = E d

U = \frac{1}{2} C V^{2} = \frac{1}{2} Q V = \frac{Q^{2}}{2 C}

u = \frac{1}{2} ϵ_{0} E^{2} = \frac{\frac{1}{2} C V^{2}}{A d}

\frac{1}{C_{e q}} = \sum_{i} \frac{1}{C_{i}}

Q = Q_{i}

V = \sum_{i} V_{i}

C_{e q} = \sum_{i} C_{i}

Q = \sum_{i} Q_{i}

V = V_{i}

κ = \frac{C}{C_{0}}

ϵ = κ ϵ_{0}

C = κ C_{0} = \frac{ϵ A}{d}