Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
The core of a transformer is built from silicon steel sheets mm thick. The resistivity of the steel is . The peak field in the core is T, at Hz, and the core has a volume of . Find the eddy-current loss in each cubic metre and in the whole core. Then find the loss in the whole core if the sheets were mm thick.
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, T, Hz, , .
Step 1. The loss in each cubic metre. .
Step 2. The whole core. .
Step 3. Thicker sheets. The loss goes as . Twice the thickness gives times the loss: .
Answer: , W and W.
Check. The loss in each cubic metre is a few kilowatts, the size that real cores show. The loss is small because the sheets are thin.
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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, .