Parabola Magnetic Field
Electricity and Magnetism
Level
3
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?
by
Steven Chase