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An infinite slab of material is in free space and occupies the region −d/2 ≤ z ≤ d/2. A current flows inside the slab with current density J = Joey. (a) Using symmetry principles, show that the form of the magnetic field due to this current is B = Bx(z)ex. (b) (c) Determine expressions for the magnetic energy per unit volume, u outside and inside the slab, assuming the slab consists of an LIH material with permeability µ = 1. Determine expressions for the magnetic field B outside the slab and inside the slab. Another slab of the same material and thickness, but with a uniform current density J - Joey is placed above the first, so that it occupies = the region d ≤ z ≤ 2d. (d) Determine the field B in the gap between the slabs and in the original slab.

An infinite slab of material is in free space and occupies the region −d/2 ≤ z ≤ d/2. A current flows inside the slab with current density J = Joey. (a) Using symmetry principles, show that the form of the magnetic field due to this current is B = Bx(z)ex. (b) (c) Determine expressions for the magnetic energy per unit volume, u outside and inside the slab, assuming the slab consists of an LIH material with permeability µ = 1. Determine expressions for the magnetic field B outside the slab and inside the slab. Another slab of the same material and thickness, but with a uniform current density J - Joey is placed above the first, so that it occupies = the region d ≤ z ≤ 2d. (d) Determine the field B in the gap between the slabs and in the original slab.

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An infinite slab of material is in free space and occupies the region −d/2 ≤ z ≤ d/2. A current flows inside the slab with current density J = Joey. (a) Using symmetry principles, show that the form of the magnetic field due to this current is B = B₂(z)ex. (b) Determine expressions for the magnetic field B outside the slab and inside the slab. (c) Determine expressions for the magnetic energy per unit volume, u outside and inside the slab, assuming the slab consists of an LIH material with permeability µ = 1. Another slab of the same material and thickness, but with a uniform current density J = −Joey is placed above the first, so that it occupies the region d≤ z ≤ 2d. (d) Determine the field B in the gap between the slabs and in the original slab.
Transcribed Image Text:An infinite slab of material is in free space and occupies the region −d/2 ≤ z ≤ d/2. A current flows inside the slab with current density J = Joey. (a) Using symmetry principles, show that the form of the magnetic field due to this current is B = B₂(z)ex. (b) Determine expressions for the magnetic field B outside the slab and inside the slab. (c) Determine expressions for the magnetic energy per unit volume, u outside and inside the slab, assuming the slab consists of an LIH material with permeability µ = 1. Another slab of the same material and thickness, but with a uniform current density J = −Joey is placed above the first, so that it occupies the region d≤ z ≤ 2d. (d) Determine the field B in the gap between the slabs and in the original slab.
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