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Please refer to the problem towards the end of page in the following link. It's related to discontinuity in normal derivative of magnetic vector potential across a current carrying surface. Prob 5.32 in Griffths.

http://physicspages.com/2013/04/08/magnetostatic-boundary-conditions/

The solution says "Since

I couldn't understand the above argument which says the derivatives along x and y are same across the boundary. What is the calculus I'm missing. Could you explain in detail, or suggest some reading for that math part I'm missing.

I found this thread, with same concern. It's still not clear why though.

https://www.physicsforums.com/showthread.php?t=498682

Thanks

http://physicspages.com/2013/04/08/magnetostatic-boundary-conditions/

The solution says "Since

**A**is continuous across the surface, the derivatives in directions perpendicular to the surface (that is, {x} and {y}) will be the same on both sides."I couldn't understand the above argument which says the derivatives along x and y are same across the boundary. What is the calculus I'm missing. Could you explain in detail, or suggest some reading for that math part I'm missing.

I found this thread, with same concern. It's still not clear why though.

https://www.physicsforums.com/showthread.php?t=498682

Thanks

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