To prove that Faraday's law of electromagnetic induction is consistent with the principle of conservation of energy, one must demonstrate how induced electromotive force (EMF) arises from changing magnetic fields. The key is to show that the work done to move a conductor through a magnetic field or to change the magnetic field around a conductor results in energy being converted into electrical energy. This aligns with the conservation of energy, as the energy input equals the energy output in the form of induced current. Additionally, the relationship between the induced EMF and the rate of change of magnetic flux is crucial in this proof. Understanding these principles solidifies the connection between Faraday's law and energy conservation.
