Why can a capacitor be charged by a battery (DC)?

[Yoyo G]

Hello there,
I'm perplexed as to why the capacitor is DC-blocking, but the battery (DC) may charge the capacitor.
I'd never considered it until I recently read it in a book. I honestly have no idea what's going on.
If anyone has any idea why this happens, please let me know.
I've read some articles like the guide to capacitors, but I still don't know how it works.
Thanks!

 

[anuttarasammyak]

In charging process of condenser
Plus charges are gathering to one plate. Minus chargers are gathering to another or in other words plus charges are leaving from another plate, so we see as if plus current go through beyond the plates. DC-blocking you say comes after a full charge.

Ref. https://www.feynmanlectures.caltech.edu/II_18.html Fig.18-2

 

[Rive]

I'm perplexed as to why the capacitor is DC-blocking, but the battery (DC) may charge the capacitor.

A bucket can also block the flow of water, but you can still fill (and empty) it.