Parabola Magnetic Field

A wire in the shape of the curve \(y = x^2\) carries a current \(I.\) It also contains some horizontal, semi-infinite segments.

The magnitude of the magnetic flux density \((B)\) at the point \((x,y) = (0,1)\) is \[B = \alpha \, \frac{\mu_0 \, I}{4 \pi}.\] If \(\alpha\) is a positive real number, what is its value?

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