how can an electric bike recharge it's battery like a car?

If you are talking about the batteries being charged as you ride similar to a car's engine recharging the battery while running -- you can't.

The alternator on an engine takes 15hp from the engine to keep the battery charged. If you hooked up a generator/alternator large enough to recharge the bike's battery while riding you would have to be pedaling mighty hard to keep up.

It is a mater of mechanical efficiency. There is no free power.
 
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