[ E = V_R(t) + V_C(t) = R i(t) + V_C(t) ]
Initial condition ( V_C(0) = 0 ): [ 0 = E + A \quad \Rightarrow \quad A = -E ] exercice corrige electrocinetique
[ V_C(t) = E + A e^-t/RC ]
Solution:
[ \boxedV_C(t) = E \left(1 - e^-t/\tau\right) \quad \textfor \quad 0 \leq t \leq t_1 ] where ( \tau = RC ). 2.2 Calcul de la constante de temps (Time constant) [ \tau = R \cdot C = (1 \times 10^3) \cdot (100 \times 10^-6) = 10^3 \cdot 10^-4 = 0.1 \ \texts ] [ E = V_R(t) + V_C(t) = R