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It is not only 3 phase motor, but every electrical device heats up. The reason is the current flowing through the windings causes the I^2*R heat loss. Apart from that, in case of an induction motor, the alternate cycle of magnetization and demagnetization of core material causes the hysterisis loss and eddy current loss. Last but not the least, there are friction and windage losses for a rotating electrical machine. All of these losses are dissipated as heat energy and hence the machine heats up.

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Q: What causes 3-phase motors to heat up?
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