The first of the commuter lines in Adelaide (South Australia) to get electrified recently began service with the first five EMUs now running. The electrical system chosen was 25kV AC overhead lines - and this is a significant choice to be noted for three reasons:
1. It's a brand new system with no connections to any other electrified lines to influence the decision - the nearest other electrified lines are separated by 800 kilometres, two breaks of track gauge and an incompatible loading gauge.
2. The electrical system was chosen before the rolling stock manufacturer - and even if the resulting manufacturer* was chosen first, they work with all the different systems anyway.
3. 25kV AC was chosen despite there being no electric freight, speeds no higher than 130km/h and the longest passenger trains being a double unit at six cars long - all of which would have put it within the performance envelope of 1.5kV DC or 3kV DC but would not have had the advantage of less infrastructure being set up.
* unfortunately it's Bombardier, assembled in Australia with the high value components brought from Europe and India. In eight months they've only been able to deliver six units, and one of those is restricted to driver training duties only until a major defect (the floor is flexible) is fixed.
Aren't trams 750DC overhead?
How does that compare with 3rd rail from the physics point of view?
Trams can be anything from 400V up to 1500V DC, some tram systems go even lower than that but they are anomalous. 600V DC is just as common for tram systems as 750V, most notably the largest tram system in the world (Melbourne) runs on 600V.
The physics is pretty similar to a conductor rail, but with issues of insulation being mercifully simpler and less chance of a pantograph welding itself on than with a conductor shoe. Wiring for DC electrification (whether for trams, light rail or heavy rail) needs to be thicker than for AC, because DC is carried in the core of the conductor while AC is carried on the skin.
3kV DC overhead is the national standard for rail electrification in numerous countries, including Belgium which necessitates London-Brussels trains carrying the kit for 3kV DC.