Steadman1 - OMG thank you! This answers my question! What I have is the entire thing - in your drawing, the choice on the bottom, but I had no idea how it pulled apart, so it seemed permanently stuck that way and I didn't want to force it. Now I can see it disengages by pulling it upward! This laptop was purchased new and came with the plug, but an IT person put it together (apparently) and provided it to the owner who left it in the US as she is in Europe 90% of the time using an iPad. We use this laptop for various things and it has been hogging space and clumsy to move around because of the way the cord is, forcing us to keep it all on a desk to avoid the weight of the adapter yanking it out of the magnetic charge portion of the laptop.
Now I can see that I can remove this and put a regular plug (if I can't find it, I can buy one!) and keep the heavy adapter on the ground level where the electric wall sockets are -
Thank you!!!!