Why is the circulation of B (magnetic field) on the path unequal to u times i ?
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Here is a question I encountered sometime ago.

For a current carrying wire of finite length the value of B is less than that of an infinitely long wire (u can look up online for formulae or their derivation) at a same distance from the wire. So consequently the circulation of B on the path shown falls short of the value u times i. The biot savart law suggests the equation written above. The puzzle is to find the mistake.