The permanent magnet in Figure 1 is made of alnico 5, whose maximum energy product (-BmHm) is 40 kJ/m³. A flux density of Bg = 0.8 T is to be established in the air gap. The air gap has the dimensions A,= 2.5 cm² and l,= 0.4 cm. (a) Determine the minimum volume of the permanent magnet to produce the necessary air gap flux density. (b) Repeat part (a) if the permanent magnet is NdFeB (Neodymium-Iron-Boron), whose maximum energy product is 295 kJ/m³. (c) Calculate the reduction of the permanent magnet volume (the ratio of the NdFeB volume to the alnico 5 volume) required to produce the same flux density in the air gap by replacing alnico 5 with NdFeB. Assumption: The magnetic reluctance of soft iron is negligible, and the permeability of free space is µo = 4-7T-10-7 H/m.
The permanent magnet in Figure 1 is made of alnico 5, whose maximum energy product (-BmHm) is 40 kJ/m³. A flux density of Bg = 0.8 T is to be established in the air gap. The air gap has the dimensions A,= 2.5 cm² and l,= 0.4 cm. (a) Determine the minimum volume of the permanent magnet to produce the necessary air gap flux density. (b) Repeat part (a) if the permanent magnet is NdFeB (Neodymium-Iron-Boron), whose maximum energy product is 295 kJ/m³. (c) Calculate the reduction of the permanent magnet volume (the ratio of the NdFeB volume to the alnico 5 volume) required to produce the same flux density in the air gap by replacing alnico 5 with NdFeB. Assumption: The magnetic reluctance of soft iron is negligible, and the permeability of free space is µo = 4-7T-10-7 H/m.
Introductory Circuit Analysis (13th Edition)
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
Transcribed Image Text:The permanent magnet in Figure 1 is made of alnico 5, whose maximum energy product (-BmHm) is 40 kJ/m³. A flux
density of B, = 0.8 T is to be established in the air gap. The air gap has the dimensions A,= 2.5 cm² and l,= 0.4 cm.
(a) Determine the minimum volume of the permanent magnet to produce the necessary air gap flux density. (b) Repeat
part (a) if the permanent magnet is NdFeB (Neodymium-Iron-Boron), whose maximum energy product is 295 kJ/m³.
(c) Calculate the reduction of the permanent magnet volume (the ratio of the NdFeB volume to the alnico 5 volume)
required to produce the same flux density in the air gap by replacing alnico 5 with NdFeB. Assumption: The magnetic
reluctance of soft iron is negligible, and the permeability of free space is µo = 4-T-10-7 H/m.

Transcribed Image Text:Soft iron
Permanent
magnet
& (air gap)
Ag
Am
Figure 1. Permanent magnet system.
e
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