Question

Significance of line integral in amoere circuital law

Answer 1

Hey mate!

I am here with your answer!

It basically helps us to calculate the work done along the chosen path. So, it's like you integrate a (force) field along a particular direction (or line) and multiply by that the small element and then sum over to get the work done.

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Answer 2

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The mathematical statement of the law is a relation between the total amount of magnetic field around some path (line integral) due to the current which passes through that enclosed path (surface integral). ... In terms of free current, the line integral of the magnetic H-field (in amperes per metre, A.

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