EDIT Found a link: https://thebolditalic.com/hacked-prius-running-on-muni-power...
EDIT I've found confirmation that the article is an April Fool's joke. I still, however, have seen a car doing this (or at least attempting to do this) on the streets of San Francisco.
Personally i more imagine something like this video, except instead of physically towing a car to run it's generator, the "tow" vehicle is merely a truck with a lot of batteries, battery-powered charger (easy), and charge plug at the end of a boom arm. Folks can summon a on-the-go charger & it follows them around for ~30 minutes & charges them.
I like the big-dream nature of your ask, how it seeks to adapt the infrastructure of the road to the new power modality. It seems dauntingly expensive, but it's certainly going to be more power-effective & material-effective than battery-charger-trucks are.
i appreciate your attempts to check me & my fantasies but wow I really think you are way way way off here, orders of magntiude off target on the emerging economics.
As for your 30 minute charge, at 200kW (a very attainable rate today already) a 30 minute charge is 80kWh, a full charge for most cars. Why do you need a full charge? in my head I see this more as a system of 10 minute charges, that turn back after a certain distance to maimtaon proximity to home. just get more charge from the next township's local charge fleet.
I think people would like very much never having to charge their cars as long as they remain in the city.
Also, how would lane changing work? Do they have to decouple from one set of power lines and connect to another?
Speaking of Southern California, Interstate 57 had some work done around 2000, they were installing some sort of lane sensor substrate into the right two lanes of the freeway. there were some people claiming they wanted to do power delivery or collection too - like solar roadways.
https://www.volvogroup.com/en/news-and-media/news/2018/sep/v...
Air wires will probably be the way to go, but those will unfortunately be to high for cars.