Continuity of Magnetic Scalar Potential

Thread starter baggiano
Start date Oct 2, 2011
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Continuity Magnetic Potential Scalar

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The continuity of magnetic scalar potential across a boundary is explained through Maxwell's equations, specifically the continuity of normal magnetic flux density (Bn) and tangential magnetic field (Ht). If the magnetic scalar potential (phi) were not continuous, the magnetic field (H) derived from it would become infinite, which is not physically feasible. This implies that for the magnetic scalar potential to remain finite and well-defined, it must be continuous across boundaries. Understanding these conditions is crucial for applying Maxwell's equations effectively in electromagnetic theory. The discussion highlights the importance of continuity in ensuring realistic physical models.

Oct 2, 2011

baggiano

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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Oct 2, 2011

Meir Achuz

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H=-grad phi would be infinite if phi were not continuous.

Oct 17, 2011

baggiano

Thanks a lot Clem.

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