u(t)=L 例1:已知i(1)=2eA,L=0.5H,求u(t) (t) 解 +u(t) ()=L() 0.5×2×(-10)e 10t 1 0e 10t
例1:已知 t i t e 10 ( ) 2 − = A,L=0.5H, 求 u(t) L + u(t) _ i(t) 解: e (V ) e dt di t u t L t t 1 0 1 0 10 0.5 2 ( 10) ( ) ( ) − − = − = − = t i u t L d d ( ) =
()=L 例2:已知),L=1H,求u(t) I(A) 解 t+1 0~2 23 (t) t(s) t+3 u(v) IV -1~0 u(0,dN0={0 0~2 s
t(s) u(V) 1 -1 0 1 2 3 例2:已知 i(t), L=1H,求 u(t) i(A) t(s) 1 -1 0 1 2 3 解: i(t) = t+1 1 -t+3 -1~0 0~2 2~3 dt di t u t L ( ) ( ) = 1V 0 -1V -1~0 0~2 2~3 = t i u t L d d ( ) =