The first one seems right to me, but I'm not sure because you cant remove the part in commas and have it still be correct. Thanks for your help.

A flow of electrons is what we define as electricity, or more specifically, electric current.

or

A flow of electrons is what we define as electricity, or more specifically electric current.

I would use a semi-colon before the coordinating conjunction:

A flow of electrons is what we define as electricity; or, more specifically, electric current.

good job ronny boy. i think what you said hit the nail on the head. you are a smart boy and you should be poud. its just a shame about your face tho