I find electrical engineering to be interesting and presents a many opportunities for creative design and problem solving. Contrary to perception, very little math is involved once you're out of university.
most of the INTJ's I know are some kind of engineers
That would be me also but mainly in title. Of course that is only part of my job in reality. I mainly do large scale problem solving, rapid solution development, analytical work, and S&T advising/consulting. I am looking to do corporate strategy as a later stage in my career.
In summary: my INTJ hunger is very satisfied by my job and company.