@shunsy
I think the OP meant *really* faint, like a POE circuit trying to power up it's main coil. It's either power isn't getting there, or there is nothing to get to.
1. power up the unit with a different known good cable and the passive POE block that came with it (if you aren't already using it)
2. if you are already using the provided passive POE block, then use a different cable between the POE adapter and the AP
3. if that still doesn't work, it's either the AP or the POE block that is not working. You can replace the POE block with another, or a standard POE or POE+ device.
4. if you still cannot get the AP to come back to live with a different cable and a different good POE injector, then it would tend to point to a failed AP.
If you have used cables fabricated on site, I'd say you might have a cable fault...try a cable tester if you have one. Though, it could even be marginal/intermittent failure, where it works enough to light up the tester LED, but as soon as your start to draw real power for the AP, the connection breaks.