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 densityJ = Joey.(a) Using symmetry principles, show that the form of the magneticfield due to this current is B = B₂(z)ex.(b) Determine expressions for the magnetic field B outside the slaband inside the slab.(c) Determine expressions for the magnetic energy per unit volume, uoutside and inside the slab, assuming the slab consists of an LIHmaterial with permeability µ = 1.Another slab of the same material and thickness, but with a uniformcurrent density J = −Joey is placed above the first, so that it occupiesthe region d≤ z ≤ 2d.(d) Determine the field B in the gap between the slabs and in theoriginal slab.

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