Magnetostatic Fields

  • Nathan Ida
  • João P. A. Bastos


We have shown in Chapter 2 that Maxwell’s equations can be divided into two groups based on the separation of electric and magnetic properties. A special subset of Maxwell’s equations consists of the equations \(\nabla \times H = J\)\(\nabla \cdot B = 0\)\(\nabla \times E = - \frac{{\partial B}}{{\partial t}}\)

If the equations are independent of time, we have
$$\nabla \times H = J$$
$$\nabla \cdot B = 0$$
$$\nabla \times E = 0$$
These equations are accompanied by the constitutive relations
$$B = \mu H$$
$$J = \sigma E$$
This subset of equations describes the phenomena associated with magnetostatics.


Permanent Magnet Field Intensity Relative Permeability Magnetic Circuit Ferromagnetic Material 
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Copyright information

© Springer-Verlag New York, Inc. 1997

Authors and Affiliations

  • Nathan Ida
    • 1
  • João P. A. Bastos
    • 2
  1. 1.Department of Electrical EngineeringThe University of AkronAkronUSA
  2. 2.Department of Electrical EngineeringFederal University of Santa CatarinaFlorianopolisBrazil

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