Imagine a glider with a wire hoop (circuit) on it, and it slides into a constant B-field. As long as the loop is entering the B-field, and the flux is changing (increasing), an emf and current are induced. This is a case where emf = induced voltage = B dA/dt.
This example walks us through step by step, but then has a focus on how the glider slows down in time, and how much heat energy is burned off due to current flowing through a resistance.
Check it out. See if it makes sense. If the glider could have the braking force acting until the glider stops, the energy burned off should be equivalent to the initial KE. Let's see what Faraday's law and others say about this thought!
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