The E-Fan goes at 100Kts for 1 hour using 30KWH so 200KWH should last 6.7 hours at 100 kts or 3.3 hours at 140Kts. Only just enough for any serious use.
So if our new wonderplane has 200KWH batteries is will need to charge at 1.2MW to be full in 10 minutes from empty.
This charger will be a serious bit of kit probably requiring a big transformer connected to an 11KV line. But since similar devices will be required for charging cars at filling stations maybe they will be available for not too silly money.
I suspect we will have to accept minimum 1 hour charging times, even that will be non trivial to achieve with a 200KWH battery.
Assuming 100% efficiency and 200KWH:
A 13A plug will charge your plane in about 67 hours
A 70KW (100A 3ph) industrial grid connection will take 2.9 Hours
Note that a 70KW connection will charge 8 off 200KWH batteries a day. Not enough for many airfields.
Bottom line is that we will need some thick wires going to airfields and filling stations or a system of trucks taking batteries to/from a facility near a big grid connection.