Parabola Magnetic Field

A wire in the shape of the curve y=x2y = x^2 carries a current I.I. It also contains some horizontal, semi-infinite segments.

The magnitude of the magnetic flux density (B)(B) at the point (x,y)=(0,1)(x,y) = (0,1) is B=αμ0I4π.B = \alpha \, \frac{\mu_0 \, I}{4 \pi}. If α\alpha is a positive real number, what is its value?

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