Show Energy Dissipated in Hysteresis Loop: Kavita's Question

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The area of the B-H curve, or hysteresis loop, represents the energy dissipated per unit volume during a magnetizing cycle. To demonstrate this, one can express the energy density as approximately |B|² and relate B to the magnetic field vector H and the magnetization vector M using the equation B = μ₀(H + M). By deriving M as a function of H, it is possible to perform a piece-wise integration over the hysteresis loop. This integration yields the energy density associated with the magnetic cycle. Understanding these relationships is crucial for illustrating energy dissipation in magnetic materials.
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I would like to know how can one show that the area of a B-H curve, ie hysteresis loop, denotes the energy dissipated per unit volume during magnetising cycle.
I can't find this anywhere and need it urgently.
Thanks for any help.

Kavita
 
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Consider strictly magnetic energy. You can give the energy density as ~|B|2. Then, you can relate B = μ0 ( H + M ), where H is the magnetic field vector (abscissa) and M is the magnetization vector (ordinate). Finally, you can use this to get M = f(H) and piece-wise integrate over the loop to get the energy density.
 
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