A toroidal solonoid with N windings and current I has its central axis oriented along the z-axis. The cross section of the toroid surface upon which the windings are wound is rectangular with height h along the z-axis from z= -h/2 to z= +h/2. The inner and outer radii of the toroid are R1 and R2, respectively.
Find the magnetic field within the z=0 plane as a function of the radial distance s from the central axis.
Find the magnetic vector potential within the z=0 plane as a function of the radial dstance s fom the central axis.
Sketch what the vector potential looks like in this plane.
Describe how the toroidal solonoid or toroidal magnetic field can be used to observe the Aharonov-Bohm effect.