Consider two N-turn circular coils of radius R, each perpendicular to the axis of symmetry, with their centers located at z=±l/2 . There is a steady current I flowing in the same direction around each coil
Assuming the N=100, I=2 Amperes, R=10 cm, l=2 cm calculate the magnitude of the magnetic fied (in Tesla) at a distance z=0.5 cm from the midpoint between the centers of the two coil.
Calculate the second derivative with respect to z of the magnetic field calculated in part (b) using the same values for the parameters. Express your answer in Tesla per meter^2.