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4. (12+12 %) Show that heat is emitted in an isothermal increase in the magnetic induction B (a process known as isothermal magnetization it)

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4. (12+12 %) Show that heat is emitted in an isothermal increase in the magnetic induction B (a process known as isothermal magnetization it) but that temperature is reduced for an adiabatic reduction in B (a process known as adiabatic demagnetization ). [Hint: it HOM/B x thermodynamic identity dU = TdS-mdB, magnetic susceptibility x 1/T (Curie's law), magnetic moment Em = MV (magnetization 1 x volume)]

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