L d i d t + i R = 0 {\displaystyle L{\frac {di}{dt}}+iR=0} d i d t + i R L = 0 {\displaystyle {\frac {di}{dt}}+i{\frac {R}{L}}=0} d i d t = − 1 T i {\displaystyle {\frac {di}{dt}}=-{\frac {1}{T}}i} i = A e − t T {\displaystyle i=Ae^{-{\frac {t}{T}}}} T = L R {\displaystyle T={\frac {L}{R}}}
T = L R {\displaystyle T={\frac {L}{R}}} ω o = 1 T = R L = 2 π f {\displaystyle \omega _{o}={\frac {1}{T}}={\frac {R}{L}}=2\pi f} v o ( ω = 0 ) = 0 {\displaystyle v_{o}(\omega =0)=0} v o ( ω = ω o ) = v i 2 {\displaystyle v_{o}(\omega =\omega _{o})={\frac {v_{i}}{2}}} v o ( ω = 0 ) = v i {\displaystyle v_{o}(\omega =0)=v_{i}}
T = L R {\displaystyle T={\frac {L}{R}}} ω o = 1 T = R L = 2 π f {\displaystyle \omega _{o}={\frac {1}{T}}={\frac {R}{L}}=2\pi f} v o ( ω = 0 ) = v i {\displaystyle v_{o}(\omega =0)=v_{i}} v o ( ω = ω o ) = v i 2 {\displaystyle v_{o}(\omega =\omega _{o})={\frac {v_{i}}{2}}} v o ( ω = 0 ) = 0 {\displaystyle v_{o}(\omega =0)=0}