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Hi, my name is Chris!
If you have already tried another power cord then you can be certain that it's a hardware issue with the iPad. Unfortunately, with that being the case, there's not really going to be much that you can do yourself. It's simply a bad physical component within the iPad.
Considering that, you really only have a couple of options: Fix it or replace it. If you wanted to actually have the unit fixed, then you would need to take it to a local repair shop that provides services for Apple products. Considering the age of the IPad II though, having originally been released in 2011, I only think a repair would be cost effective if you have files on the device that you just can't afford to lose. If that's not the case, I think replacing it would be the best path.
I understand that this is very frustrating! I had an iPad die on me just a few months ago. If you have any other questions on this, just let me know and I'll be happy to answer them for you.
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