If you have what I think you do, which is a standard eGo tank, the problem is likely one of wick adjustment. If the wick is too high it will not wick the liquid down to the coil and give dry/burnt hits. This shouldn't be a problem with a brand new atty, but it's not at all impossible. I've seen a couple that way.
Do a youtube search for eGo-T wick adjust. Cignot has a good video on it. I'd hate to give advice not knowing for sure that you have what I think you have... With that said, you might want to pull the cartridge off, and use a bent paperclip to push the wick down JUST A LITTLE. you should see it inside the spike with the tank removed. Remember, it's much easier to push down than pull up.
I love the eGo-T
tanks/attys, but they definitely take a little extra care. I adjust the wick in the one I'm using about once a week, and find they last about a month. Even with the extra attention involved, I find it's the best way to vape short of dripping, which usually isn't an option for me... Though, just like everything else in this realm, many will disagree! It takes a while to find that sweet spot that works for you...