|MadSci Network: Engineering|
Unfortunately, the answer is no. Your question is a variant of the perpetual motion machine. This type of perpetual motion machine is called a perpetual motion machine of the first kind -- a device which produces more energy than it consumes. This is a violation of the first law of thermodynamics. Therefore, you cannot take the output from any machine that generates energy, and passively feed the output back into the machine without having a loss of energy (somewhere in the process). For example, if the electric generator requires 1 Amp and 10 Volts to operate; the power needed to operate the generator is 10 Watts (power = current x voltage; so 10 W = 1 A x 10 V). As you may already know, when transformers are operating, they generate heat. This heat is a power loss; therefore, the maximum power that can be fed back to the generator is 10 W - (the power that is lost as heat). So, without having a 100% efficient transformer, there will not be enough power from the transformer to operate the generator.
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