An isotropic conductor is in the presence of a magnetic induction field B. The electric resistivity rank-2 tensor is a function of the magnetic induction field B and Ohm’s law is written as,The reversibility of the dynamics at the microscopic scale implies that the transpose of the electric resistivity tensor is obtained by reversing the orientation of the magnetic induction field B [190]. Thus,This result cannot be established in a thermodynamic framework but requires the use of a statistical physics. In a linear electromagnetic framework, when the magnetic induction field B is applied orthogonally to the conductive electric current density j_q, show that Ohm’s law can be written as,where the first term is Ohm’s law (11.74) in the absence of a magnetic induction field B and the second term is the Hall effect (11.75) in a direction that is orthogonal to the magnetic induction field B and to the conductive electric current density. Use the result established in § 11.10.

Transcribed Image Text:

- p (B).jq