ece107_set6_nbg

ece107_set6_nbg - ECE 107: Electromagnetism Set 6:...

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1 ECE 107: Electromagnetism Set 6: Magnetostatics Instructor: Prof. Vitaliy Lomakin Department of Electrical and Computer Engineering University of California, San Diego, CA 92093
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2 Equations of magnetostatics Magnetostatics two uncoupled sets of (static) equations are obtained for and Equations of magnetostatics Boundary conditions Constitutive relation 0 ∇× = ∇⋅ = HJ B 0 t ω ∂∂ = = & ED & HB 12 2 1 12 2 1 ˆ () ˆ 0 s ×− = ⋅− = nH H J nB B or H d l C = I B d s S ∫∫ = 0 μ = BH
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3 Magnetic force (1) Magnetic force on a charge due to a flux density Lorentz force Properties of Lorentz force is in the direction of whereas is perpendicular to acts on ANY charges whereas acts ONLY on moving charges does work when moving charges whereas does no work when moving charges e F E m F B e F m F e F m F
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Earth s atmosphere
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Mass spectrometer + e - E field + + Heavier mass are deflected less Position determines mass F = quB = ma u E field B B field q u B =qE selects one velocity
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The effect of a magnetic field on a current loop - diamagnetism Lorentz force results in change in angular momentum in direction opposite to magnetic field – diamagnetism
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ece107_set6_nbg - ECE 107: Electromagnetism Set 6:...

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