Several forms of the driven potential φ
0(t) on ionospheric polar boundary were used to calculate the time evolution of the region 2 field-aligned current J
∥2 and the ionospheric electric field E (t).Calculation indicates that when φ
0 increases first,and decreases then,similar tendency is shown in variation of ](2) and E in high-latitudinal ionosphere,though reach their maximum a bit later;so when the driven potential begins reducing,the J
∥2 and E,however,continue their enhancing.The time delay of J
∥2 and that of E are both related to the relaxation time of the variation of J
∥2 when φ
0(t) is a step function,but the delay of ?is a bit shorter.They also depend on the form of the φ
0(t).The retardation time can be longer than 1 hour when φ
0(t) decreases slowly after a sudden increasing.This result is coordinated by the data observed during strong magnetic storms.The response of E-field in the middle latitude ionosphere is somehow different.It increases when φ
0(t) increases,and decreases asφ
0(t) decreases.The evolution of the J
∥2 and E is also controlled by the ionospheric conductivity.