The value of the loop integration in Ampère's law does NOT depend on the shape of the loop, but only on the amount of current it encloses.

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Ampère's law states that the magnetic field in space around an electric current is proportional to the electric current which serves as its source, regardless of the shape of the loop. The integral form of Ampère's law involves the line integral of the magnetic field around some loop, which only depends on the amount of current enclosed by that loop, not the specific shape of the loop itself.

The Value of the Loop Integration in Ampère's Law Does