Consider a toroidal coil formed by a metallic wire with N loops, as shown in Fig. 1. The core of the coil is filled with air and its inner and outer radii are rin and rout, respectively. Its height in the vertical direction h for simplicity consider being infinitely large. The steady current floating through the wire is homogeneous and equal to I. (a) Find the magnetic flux density in the three regions: r < T'in, Tin < r < Tout, and r > Tout Express it as a vector function in the cylindrical coordinate system. Assuming negligible thickness of the wires in the coil, plot Bo as a function of r.

Consider a toroidal coil formed by a metallic wire with N loops, as shown in Fig. 1. The core of the coil is filled with air and its inner and outer radii are rin and rout, respectively. Its height in the vertical direction h for simplicity consider being infinitely large. The steady current floating through the wire is homogeneous and equal to I. (a) Find the magnetic flux density in the three regions: r < T'in, Tin < r < Tout, and r > Tout Express it as a vector function in the cylindrical coordinate system. Assuming negligible thickness of the wires in the coil, plot Bo as a function of r.