Is it compatible with PT-D210?

I have the PT-D200 and it works fine. I'm not sure how different the D200 is from the D210 FYI: I ordered this item, and what I received was labeled: brother Model AD_24ES-US.

Is this a Brother Power Adapter? There are plenty of cheaper alternatives but I want the power adapter with the Brother label on it.

I purchased Newegg's AD24 Power Adapter. The item I received was labeled: brother Model AD_24ES-US switching adapter plus a lot of other specifications.