Capacitor - Important Formulas

• Current-Voltage Relationship
  • $i_C(t)=C\frac{d{v}_C(t)}{dt}$
  • $v_C(t)=\frac{1}{C}\int i_C(t)dt$
• Energy Stored in a Capacitor
  • $W_C=\frac{1}{2}C{v}_C^2$
• Capacitors in Parallel
  • $C_{eq,parallel}=C_1+C_2+\dots$
• Capacitor in Series
  • $\frac{1}{C_{eq,series}}=\frac{1}{C_1}+\frac{1}{C_2}+\dots$