Currently I'm working on a RFID project where each tag is attached to an object. An object could be a person, a computer, a pencil, a box or whatever it comes to the mind of my boss. And of course each object have different attributes.
So I'm trying to have a table tags where I can keep a register of each tag in the system (registration of the tag). And another tables where I can relate a tag with and object and describe some other attributes, this is what a have done. (No real schema just a simplified version)

Suddenly, I realize that this schema could have the same tag in severals tables. For example, the tag 123 could be in C and B at the same time. Which is impossible because each tag just could be attached to just a single object.
To put it simple I want that each tag could not appear more than once in the database.
My current approach

What I really want

Update: Yeah, the TagID is chosen by the end user. Moreover the TagID is given by a Tag Reader and the TagID is a 128-bit number.
New Update: The objects until now are:
-- Medicament(TagID, comercial_name, generic_name, amount, ...)
-- Machine(TagID, name, description, model, manufacturer, ...)
-- Patient(TagID, firstName, lastName, birthday, ...)
All the attributes (columns or whatever you name it) are very different.
Update after update
I'm working on a system, with RFID tags for a hospital. Each RFID tag is attached to an object in order keep watch them and unfortunately each object have a lot of different attributes.
An object could be a person, a machine or a medicine, or maybe a new object with other