Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A flat copper disc has a radius of cm and a thickness of mm. It lies at right angles to a field that changes at T/s. The resistivity of copper is . Find the emf round the rim of the disc, and the heat made each second by the eddy currents. Then find the heat each second in a disc of twice the radius and the same thickness.
A changing flux drives eddy currents in a solid conductor. They oppose the change (Lenz's law), so a moving conductor is braked, and the work done becomes heat. At a steady speed, the drag equals the weight in a fall, , and the heat each second is . A disc of radius and thickness in a field changing at loses . In a thin sheet, .
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Given. m, m, T/s, .
Step 1. The emf at the rim. . That is mV.
Step 2. The heat. . That is W.
Step 3. The larger disc. The heat goes as . So .
Answer: mV, W and W.
Check. The units of the formula give . It fits.
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