How to solve magnetic field using differential form?

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The discussion focuses on solving magnetic fields using the differential form of Maxwell's equations, contrasting it with the integral form. Participants express that the differential method often simplifies problem-solving compared to the integral approach. An example is requested to illustrate the application of the differential form in a practical scenario. The conversation highlights a common challenge in understanding the transition between these two forms of electromagnetic equations. Overall, the differential method is emphasized as a potentially more straightforward approach for solving magnetic field problems.
neildownonme
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is there any general way? i mean i know how to do it in integra form but the course I am taking right now requires me to do it in differential method
 
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Perhaps I don't understand the question right, but usually the solution of a problem is simpler using the differential form than the integral form of the Maxwell equation. Can you give an example?
 

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