User:Foxjwill/Physics From Wikipedia, the free encyclopedia Circuits RC Q ( t ) = C E ( 1 − e − t R C ) = Q f ( 1 − e − t R C ) {\displaystyle Q(t)=C{\mathcal {E}}\left(1-e^{{}^{-}{\frac {t}{RC}}}\right)=Q_{f}\left(1-e^{{}^{-}{\frac {t}{RC}}}\right)} I ( t ) = E R e − t R C = I 0 e − t R C {\displaystyle I(t)={\frac {\mathcal {E}}{R}}e^{{}^{-}{\frac {t}{RC}}}=I_{0}e^{{}^{-}{\frac {t}{RC}}}} RL I ( t ) = E R ( 1 − e − L R t ) = I f ( 1 − e − L R t ) {\displaystyle I(t)={\frac {\mathcal {E}}{R}}\left(1-e^{{}^{-}{\frac {L}{R}}t}\right)=I_{f}\left(1-e^{{}^{-}{\frac {L}{R}}t}\right)} LC Q ( t ) = I 0 L C sin t L C + C E = I 0 L C sin t L C + Q 0 {\displaystyle Q(t)=I_{0}{\sqrt {LC}}\sin {\frac {t}{\sqrt {LC}}}+C{\mathcal {E}}=I_{0}{\sqrt {LC}}\sin {\frac {t}{\sqrt {LC}}}+Q_{0}} I ( t ) = I 0 cos t L C {\displaystyle I(t)=I_{0}\cos {\frac {t}{\sqrt {LC}}}} Related Articles