# Fundamental Physics/Electricity/RL series

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## RL series

 Electric current decay circuit Configuration Formula RL series ${\displaystyle V_{L}+V_{R}=0}$ ${\displaystyle L{\frac {di}{dt}}+iR=0}$ ${\displaystyle {\frac {di}{dt}}=-{\frac {1}{T}}i}$ ${\displaystyle T={\frac {L}{R}}}$ ${\displaystyle \int {\frac {di}{i}}=-{\frac {1}{T}}\int dt}$ ${\displaystyle Lni=-{\frac {1}{T}}+c}$ ${\displaystyle i=e^{-{\frac {1}{T}}t+c}=Ae^{-{\frac {1}{T}}t}}$ ${\displaystyle A=e^{c}}$