In the toroidal core-coil assembly of Figure 2, the coil has N= 250 turns, the relative permeability of the core is Hr = 2250, the inner and outer radii of the core are 20 cm and 25 cm, respectively, and the core has a circular cross section. (a) For a coil current of 2.5 A, find the magnetic flux density at the mean radius of the toroid. (b) Calculate the inductance of the coil, assuming that the flux density within the core is uniform and equal to that at the mean radius. P.S. The permeability of the free space is µo = 4 · n · 10-7 [H/m].

In the toroidal core-coil assembly of Figure 2, the coil has N= 250 turns, the relative permeability of the core is Hr = 2250, the inner and outer radii of the core are 20 cm and 25 cm, respectively, and the core has a circular cross section. (a) For a coil current of 2.5 A, find the magnetic flux density at the mean radius of the toroid. (b) Calculate the inductance of the coil, assuming that the flux density within the core is uniform and equal to that at the mean radius. P.S. The permeability of the free space is µo = 4 · n · 10-7 [H/m].

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter14: Inductance

Section: Chapter Questions

Problem 74AP: Two long, parallel wires cy equal currents in opposite directions. The radius of each wire is a, and...

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In the toroidal core-coil assembly of Figure 2, the coil has N= 250 turns, the relative permeability of the core is
H. = 2250, the inner and outer radii of the core are 20 cm and 25 cm, respectively, and the core has a circular cross
section. (a) For a coil current of 2.5 A, find the magnetic flux density at the mean radius of the toroid. (b) Calculate
the inductance of the coil, assuming that the flux density within the core is uniform and equal to that at the mean
radius. P.S. The permeability of the free space is µo = 4 · 1 · 10-7 [H/m].

A
Figure 2. Toroidal core-coil assembly.

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