Tesla Model 3 charges through a proprietary Tesla plug that is electrically (but not physically) compatible with the North American J1772 charging standard. Tesla cars come with a small J1772 adapter to allow charging from any J1772 public or home EVSE.
All Model 3 cars come standard with the ability to charge from Tesla Supercharger high speed D.C. charging stations. Tesla will charge Model 3 owners a usage fee to use Superchargers. Model 3 can charge from any Tesla Supercharger at power levels up to 120 kW (typically 200-300 miles of range per hour). D.C. charging speeds are variable due to a number of factors including: how hot the charger/cable is, how hot/cold the car battery is, whether the charger current is paired with another stall, and how full the battery is.
As of early 2018, the Model 3 is not compatible with CHAdeMO fast D.C. charge stations as the Tesla CHAdeMO adapter is not "yet" compatible with the Model 3. Tesla has not officially stated if/when the Model 3 will work with CHAdeMO.
Model 3 cars come with a built in charger capable of A.C. charging at 32A (SR version) or 48A (LR version), or about 30 or 44 miles of range added per hour. This charge level will allow a Model 3 to charge full overnight.
In the past, Tesla recommended that new owners install a NEMA 14-50 receptacle and use their included Mobile Connector to charge their car. While that is still an option, I personally recommend that new owners instead purchase a Tesla Wall Connector and leave their Mobile Connector in their frunk or trunk. The Wall Connector is more robust, allows for circuit sharing should you get a second EV, and makes sure you'll never forget your Mobile Connector when going on a trip.
Note that the Model 3 comes with a second generation Mobile Connector that has adapters that are not compatible with the current first generation Model S/X Mobile Connector.
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