Better question would be:
How to make electric car work without batteries?
We already have that, it's called metro. It's big cars that run on tracks with electricity without batteries. The problem is that you can't go wherever you like, only to fixed stations. The metro is much more friendly for the environment than fuel based cars. Even some cities rely on busses with electricity. The problem here is that you need some power source above the bus or below it, like with trams. Having our own car without batteries seems impossible right now.