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.
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Transcribed Image Text: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 < Tin, Tin < r < rout, and
r> rout. 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.
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