ANSWERS: 1
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Yes. This is basically exactly what is happening in a generator. A generator is, in simple terms, an electric motor that is being turned by an outside force and producing electricity. any time you move a magnet in relation to a wire, you will induce a current. The current generated is proportional to the power of the magnet being moved and the number of turns of wire that the magnet is moving in relation to. As an example, think about a hydroelectric generator. The flowing water, ( the external mechanical force) causes a shaft to spin inside a magnetic field, which produces electricity. An electric motor does the same thing. The only real difference is that in an electric motor, the magnets are typically stationary, whereas in a generator, the coil is typically stationary.
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