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PRACTICE / Magnetic materials

Read heating from a magnetic cycle

An idealized rectangular B–H hysteresis loop extends from H = −80 to +80 A/m and from B = −0.25 to +0.25 T. A uniform core volume of 25 cm³ executes this loop 60 times each second.

What average heating power is associated with the loop area alone?

Organize the givens & assumptions
  • Full horizontal span: −80 to +80 A/m
  • Full vertical span: −0.25 to +0.25 T
  • Core volume: 25 cm³
  • Cycle rate: 60 Hz

The loop is a constructed quasistatic material model, traversed in the dissipative direction. H denotes the internal material field. The loop is uniform throughout the core and unchanged with the stated cycle rate. Exclude additional dynamic eddy-current and winding losses.

  1. A0.030 W0.030\ \mathrm W
  2. B0.060 W0.060\ \mathrm W
  3. C0.120 W0.120\ \mathrm W
  4. D120 W120\ \mathrm W

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