Think of a toroidal solenoid as a cylindrical solenoid wrapped back on itself. A toroid is basically a donut. If you cut it at one point and straightened it out, it would be a regular old solenoid of length l=2πr, the inductance would be L=µN^2A/l, and the energy U=(1/2)LI^2.
The figure they provide is terrible ... look at this one.
The figure they provide is terrible ... look at this one.
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