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 0 C S dI d = = ∫∫ Hl Bs v w μ = BH
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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4 Magnetic force (2) Magnetic force on a current Consider a wire of area and (vector) differential length with electron charge density Differential charge Differential force
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## This note was uploaded on 06/30/2010 for the course ECE ECE 107 taught by Professor Ericfullerton during the Spring '07 term at UCSD.

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

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