Can a generator produce electricity if it is driven by electric motor?
Electric motors convert electrical energy into mechanical energy which can be used to drive a generator. However, none of the units create energy but only convert it. Connecting a generator to a motor to drive the generator supplies no energy that can be converted. An external source of energy from a battery or power plant must supply the energy to be converted. What you propose is a class of perpetual motion machine (and the US Patent Office will refuse to accept requests for patents for such machines because there is no science to back them up).
