-5mA
5kΩ
0.5µF
1mA
2kΩ

vc(0-) = 25 V ; ic(0+) = 12.5 mA
vc(∞) = 2 V ; ic(∞) = 0 mA
τ = 1 ms

vc(t) = 2 + 23e-1000t [V] ; t ≥ 0
time for vc to reach 0V: never

ic(t) = 25 + 12.5e-1000t [V] ; t ≥ 0
time for ic to reach 0A: never, but 5ms is close