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It is possible, but in general it would be fairly pointless unless you want a very specific type of application

The simplest way to do what you're proposing would be to have a motor spin an axle, and connect that axle to the generator's input.

But because of the fact no system is loss-less you would be losing energy to friction and hysteresis and resistance you would be losing energy if you have a motor power its own generator.

On the other hand this device could then be connected to a battery bank (through proper voltage regulators and a rectifier) and it would be possible to either charge the cells (by connecting the generator and spinning the axle) or run the motor (by discharging the cells through the motor). This is a little like the principle behind regenerative breaking in an electric car.

Also, every generator is ALSO a motor, in a way, it simply depends how it's hooked up. Any AC electric motor could theoretically be turned into a generator.

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Q: Is it possible to combine both motor and generator into single device?
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