Intermittent charge on Macbook Pro

Question

I have a 2010 Macbook Pro with a MagSafe T Power adapter.

The power adapter makes a buzzing/hissing/fuzzy noise when it is plugged into the wall.

When it is plugged into my mac, my light turns green for about a second, then orange for 5-10 seconds, and then no charge.

I am not sure if the problem is my Macbook Pro battery, or my adapter?

How can I diagnose/troubleshoot, and what are the best recommendations?