A toroid (ring shaped) magnetic core is wounded by a coil having 250 turns. The inner (ri) and outer radii (rd) are 20cm and 25cm, respectively. The toroidal core has a circular cross section (S). For a coil current of 2.54 A, calculate a. The magnetic flux density along the mean radius of the core (l). b. Flux in the core. c. Flux linkage of the coil. d. Reluctance of the toroid core. e. Magnetic permeability of the material. f. The inductance of the coil, under the assumption that the flux density within the core is uniform and same at every point of the core.

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter5: Transmission Lines: Steady-state Operation
Section: Chapter Questions
Problem 5.21P
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A toroid (ring shaped) magnetic core is wounded by a coil having 250 turns. The inner (ri) and outer radii (rd) are 20cm and 25cm, respectively. The toroidal core has a circular cross section (S). For a coil current of 2.54 A, calculate
a. The magnetic flux density along the mean radius of the core (l).
b. Flux in the core.
c. Flux linkage of the coil.
d. Reluctance of the toroid core.
e. Magnetic permeability of the material.
f. The inductance of the coil, under the assumption that the flux density within the core is uniform and same at every point of the core.

В (Тesla)
S
rd
1,25
rị
N
Н (At/m)
450
Transcribed Image Text:В (Тesla) S rd 1,25 rị N Н (At/m) 450
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