5V
10kΩ
0.1µF
0.1µF
20V
5kΩ

vc(0-) = -5 V ; ic(0+) = -1 mA
vc(∞) = -20 V ; ic(∞) = 0 mA
τ = 1 ms

vc(t) = -20 + 15e-1000t [V] ; t ≥ 0
time for vc to reach 0V: never

ic(t) = -5 - 1e-1000t [V] ; t ≥ 0
time for ic to reach 0A: never, but 5ms is close