In Example 29-8. we found the magnetic field due to a circular wire of radius R, carrying a current I, at a point a distance x away from the center of the ring but along the axis to be
![1272_Figure2.jpg](https://secure.tutorsglobe.com/CMSImages/1272_Figure2.jpg)
B = μ0I/2. R2/(R2 + x2)3/2
A pair of such coils placed coaxially a distance R apart makes up a Helmholtz roil, for which the magnetic field everywhere inside is fairly constant (Fig. 30-4).
(a) Determine the magnetic field on the axis as a function of x, with x = 0 marking the location of the left-hand coil. Evaluate the field at x = 0, x = R 4, and x = R/2.
(b) Show that dBx/dx = 0 d2Bx/dx2 = 0 at x = R/2.