Q:

Objects made up of electrons? 

Say you have a neutral rod, and you bring a positively charged rod beside it (call the side the charged rod is brought near side A and the other side side B).  The electrons from the side B will start moving towards side A and the positively charged nuclei in side A will start moving to side B. 
After a large part of side A consists of only of electrons, the electrons would start repelling each other and the movement of charges will stop.  But at this point a very large portion of side A consists of electrons and a large part of side B consists only of positively charged nuclei.  The system is at equilibrium. 
But the rod has now been mostly split into a electron side and a positively charged nuclei side, however it doesn't look different at all?  Why?  Shouldn't a rod made of atoms look and be completely different than a rod that is mostly made up of electrons on one side and nuclei on the other? 
I know that electrons are very small, and since side A mostly consists of electrons, shouldn't it be almost invisible?  

A:

A solid material is not made of electrons separated from the nuclei.  The nuclei and electrons live together in a structure that can be ordered (like crystals) or not (like glass).  In all cases, the electron arrangement around the nuclei is very important as it allows for bonding between these atoms.  In that process, some electrons are stuck close to the nuclei, they are called 'bound' electrons.  Others are not totally stuck and can somewhat move from atom to atom, they are called 'free' electrons.  But the atoms are always stuck in a given position.  That's why the rod stays as a rod and does not evaporate as a gas. 
Imagine that the fixed atoms form a given stable structure.  The free electrons can move inside this structure.  These are the ones that are attracted to one side or the other.  The nuclei do not move.  That's why the rod just looks the same all the time: only a tiny number of electrons actually travel along.