I discovered the other day that the battery charger supplied with my Canon EOS 5D Mark II has stopped working, seemingly.

When I plug it in and seat the battery, the LED does not illuminate.

I've tried different power points, and jiggled the cable.

Is there a problem with it?

Is there anything I can do?

Is there any other way to charge the battery? It's at 92% capacity now, but once it runs out, I'm stuck.