https://improbable.com/wp-content/uploads/2011/10/ThereAreNo...
Yes, they were identical.
My crib note that I took into the later final exam was simply a conversion between terms in the two departments. Nothing else; I'd already crammed and aced the first exam.
The physics version was much more mathematical, and did things like solving everything in spherical coordinates. It also kind of served as a preparation for solving corresponding problems in quantum mechanics.
The engineering version was more nuts-and-bolts, covering things like transformers, motors, and transmission lines. (Antennas were for a later course).
As a consequence, teaching the engineering course required me to quickly learn a whole bunch of stuff that we glossed over or ignored in the physics course. While also teaching it. Fortunately I was an experimental physicist and had also done some work in industry, so the topics weren't utterly unfamiliar.