<< Question: If I connect my computer to the switch, then the switch to the wall, will the LAN see me any differently than before >>
In all likelyhood and for all practical purposes, there won't be any difference to the network if you do this.
If you want to be nit-picky: (sort-of in-depth networking details follow)
But, there is is possiblility that you could cause a short (~1 min)loss of connectivity in the switched segment of the network that you are connected to when you plug the switch in or take it out. A number of things would need to be true for this to happen, but it is possible. For this to be true:
- spanning tree must be enabled on your switch
- there must be some redundancy (ie. some sort of loops) in the switches that lead up to the router that serves your port
- the bridge priority of your switch is lower than the current root switch of the spanning tree OR all the bridge priorities are the same and your switch's mac address is the lowest of all the switches
What happens in that case is that spanning tree (the layer 2 protocol that prevents loops among a group of switches) will detect that your switch should be the "head" of the spanning tree. It then causes every other switch to block all their ports while they recalculate the new topology of the network. This may take up to a minute or so, depending on what options are configured on the switches.
So, the moral of the story is that if everyone else on your floor/building starts complaining of losing their network connection whenever you add/remove your switch, then you need to set the bridge priority of your switch to greater than 32768.
But I would be seriously shocked if this actually happened.