Continuity of Magnetic Scalar Potential

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SUMMARY

The discussion centers on the continuity of the magnetic scalar potential across boundaries, as stated in various textbooks. It is established that this continuity can be explained using the boundary conditions derived from Maxwell's equations, specifically the continuity of normal flux density (Bn) and tangential magnetic field (Ht). The equation Bag H = -grad phi indicates that if the magnetic scalar potential (phi) were not continuous, it would lead to infinite values, reinforcing the necessity of continuity in this context.

PREREQUISITES
  • Understanding of Maxwell's equations
  • Familiarity with magnetic scalar potential concepts
  • Knowledge of boundary conditions in electromagnetic theory
  • Basic calculus, particularly gradient operations
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Physicists, electrical engineers, and students studying electromagnetism who seek to deepen their understanding of magnetic scalar potential and its implications in boundary conditions.

baggiano
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Hello

I have found in some textbooks that the magnetic scalar potential is continuous across a boundary. Now, how can this be explained starting from the two boundary conditions of Maxwell's equations (continuity of normal flux density Bn and tangential field Ht)?

Thanks in advance for your hints.

Bag
 
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H=-grad phi would be infinite if phi were not continuous.
 
Thanks a lot Clem.
 

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