Magnetic Field Equations in Magnetized Regions Carrying Steady Current

  • Harry F. Tiersten
Part of the Springer Tracts in Natural Philosophy book series (STPHI, volume 36)


We proceed in essentially the same way as in the electric case and first formally define a single magnetic dipole moment analytically from our present magnetic apparatus. To this end we consider a closed current loop in which a steady electric current I flows as shown in Figure 25. In all of our closed loop expressions for B and A, the loop integral
$$ \oint_{c} {f({r_{1}})} Ids = I\oint_{c} {f({r_{1}})} ds, $$
exists. The application of a well-known integral theorem18 yields
$$ I\oint_{c} f ds = I\oint_{s} {nx} \nabla fdS. $$


Magnetic Dipole Moment Field Point Magnetize Region Electric Case Magnetic Vector Potential 
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Copyright information

© Springer-Verlag New York Inc. 1990

Authors and Affiliations

  • Harry F. Tiersten
    • 1
  1. 1.Department of Mechanical Engineering, Aeronautical Engineering & MechanicsRensselaer Polytechnic InstituteTroyUSA

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