1. Force on magnetic dipole moment: (a) Consider the magnetic dipole made of an infinitesimal square...

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1. Force on magnetic dipole moment: (a) Consider the magnetic dipole made of an infinitesimal square of side d. Assume that the loca- tions of four corners of the square are (x, y, z) current I flows in the direction of (0,0, 0) → (0, 8, 0) → (0, 8, 8) → (0,0, 8) → (0,0,0). This magnetic dipole is in a non-uniform magnetic field B. Computing the force F = I S(dl x B) along each of the four sides, show that the force on the magnetic dipole in the limit & → 0 (pure dipole limit) is given by F = V(m · B). (0,0,0), (0, 8, 0), (0, 6, 8), (0, 0, 8). A uniform (b) Consider a slab with two plane-boundaries (running along the yz plane) at x = +a and = -a. Jo 2 inside the slab. A magnetic dipole m = mo ŷ is Consider a uniform current density J located at the origin. Find the force on the magnetic dipole. 1. Force on magnetic dipole moment: (a) Consider the magnetic dipole made of an infinitesimal square of side d. Assume that the loca- tions of four corners of the square are (x, y, z) current I flows in the direction of (0,0, 0) → (0, 8, 0) → (0, 8, 8) → (0,0, 8) → (0,0,0). This magnetic dipole is in a non-uniform magnetic field B. Computing the force F = I S(dl x B) along each of the four sides, show that the force on the magnetic dipole in the limit & → 0 (pure dipole limit) is given by F = V(m · B). (0,0,0), (0, 8, 0), (0, 6, 8), (0, 0, 8). A uniform (b) Consider a slab with two plane-boundaries (running along the yz plane) at x = +a and = -a. Jo 2 inside the slab. A magnetic dipole m = mo ŷ is Consider a uniform current density J located at the origin. Find the force on the magnetic dipole.