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The N turn toroid with a rectangular cross section has a height h and inner and

ID: 2218180 • Letter: T

Question

The N turn toroid with a rectangular cross section has a height h and inner and outer radii a ind b. It carries current I. Use Ampere's Law to find the magnetic field >oth inside and outside the windings a distance r rom the central axis. Evaluate A (B n)dA to find the flux through i single turn. Compute the self inductance of the toroid. At the instant shown, a rod of length (b-a) is sliding along the rails shown at a speed of dy/dt. The rectangle this produces is in the same plane as a long current carrying wire. Assume the rails

Explanation / Answer

NIh/2 (ln b/a)