User:Charles R Talley/Homework Assignments/hw0226

Physics Review

• Force between 2 charged particles
  • $F=\frac{k{q}_1{q}_2}{r^2}$
• Electric Field
  • $E=\frac{F}{q}$
• Electric Potential
  • $V_E=\underset{C}{\int }E\cdot \mathrm{d}l$
    • $C$ = path from $V$=0 to $r$
• Capacitor
  • assume x,y>>d
  • $C=\frac{Q}{V}$
    • $Q$ - magnitude of charge on one plate
    • $V$ - electric potential between two plates
  • model:
    • assume no net $Q$ (equal and opposite charge in opposing plates
    • near the center: $E=\frac{Q}{A{ϵ}_o}$
  • Failed to parse (syntax error): {\displaystyle V &=& \int_0^d \! {Q \over A \epsilon_o} \cdot \, {\rm d}l \\ &=& {Qd \over \epsilon A} }