Consider a system with magnetic dipole moment u in a static magnetic field B. This system is in thermal equilibrium at absolute temperature T. Consider that the magnetic field applied to the system changes by a dB in an infinitesimal semi-stationary process. In this case, remember that the mechanical work done is as much as - udB. The following definitions for this system use. (E = internal energy, S = entropy): Enthalpy: H = E-µB. Helmholtz free energy: F = E - TS. A) In this system, write dE in differential form, assuming entropy S and magnetic field B as independent parameters and combining the first and second law of thermodynamics. B) Using the results of (a) and the differential forms, express the temperature T and the magnetic dipole moment u in terms of the partial derivatives of E. C) Using the properties of partial derivatives and the results of (b), express the Maxwell connections for this system by taking the appropriate partial derivatives of T and u.
Consider a system with magnetic dipole moment u in a static magnetic field B. This system is in thermal equilibrium at absolute temperature T. Consider that the magnetic field applied to the system changes by a dB in an infinitesimal semi-stationary process. In this case, remember that the mechanical work done is as much as - udB. The following definitions for this system use. (E = internal energy, S = entropy): Enthalpy: H = E-µB. Helmholtz free energy: F = E - TS. A) In this system, write dE in differential form, assuming entropy S and magnetic field B as independent parameters and combining the first and second law of thermodynamics. B) Using the results of (a) and the differential forms, express the temperature T and the magnetic dipole moment u in terms of the partial derivatives of E. C) Using the properties of partial derivatives and the results of (b), express the Maxwell connections for this system by taking the appropriate partial derivatives of T and u.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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