V L + V C + V R = 0 {\displaystyle V_{L}+V_{C}+V_{R}=0} d 2 i d t 2 + R L d i d t + 1 T i = 0 {\displaystyle {\frac {d^{2}i}{dt^{2}}}+{\frac {R}{L}}{\frac {di}{dt}}+{\frac {1}{T}}i=0} d 2 d t 2 i = − 2 α d i d t − β i {\displaystyle {\frac {d^{2}}{dt^{2}}}i=-2\alpha {\frac {di}{dt}}-\beta i} i = A ( α ) S i n ω t {\displaystyle i=A(\alpha )Sin\omega t} A ( α ) = A e − α t {\displaystyle A(\alpha )=Ae^{-\alpha t}} ω = β − α {\displaystyle \omega ={\sqrt {\beta -\alpha }}} β = 1 T = 1 L C {\displaystyle \beta ={\frac {1}{T}}={\frac {1}{LC}}} γ = β γ = R 2 L {\displaystyle \gamma =\beta \gamma ={\frac {R}{2L}}} T = L C {\displaystyle T=LC} γ = R C {\displaystyle \gamma =RC}
