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S. Mandayam/ EEMAG-1/ECE Dept./Rowan University Engineering Electromagnetics 1 0909.301.01 Fall 2004 Shreekanth Mandayam ECE Department Rowan University http://engineering.rowan.edu/~shreek/fall04/eemag1/ Lecture 7a October 19, 2004
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S. Mandayam/ EEMAG-1/ECE Dept./Rowan UniversityPlan Magnetostatics Direct Currents A “Leaky” Capacitor Analogy b/w direct currents and electrostatic field Matlab PDE Toolbox Conductive Media DC mode Fields for symmetric current distributions Line current Coax cable Solenoid Magnetic Force
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S. Mandayam/ EEMAG-1/ECE Dept./Rowan University EEMAG-1: Topics Today
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S. Mandayam/ EEMAG-1/ECE Dept./Rowan University Direct (Steady) Currents
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S. Mandayam/ EEMAG-1/ECE Dept./Rowan University Governing Equations Direct current problems and E-static problems are analogous!
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S. Mandayam/ EEMAG-1/ECE Dept./Rowan University A “Leaky” Capacitor d VsVs z x + + + + + + + + - - - - - - - - - - - - - - - - - - - - - I Permitivity, Conductivity, I I VsVs C G
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S. Mandayam/ EEMAG-1/ECE Dept./Rowan UniversityAnalogy
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Matlab PDE Toolbox Conductive Media DC Mode
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S. Mandayam/ EEMAG-1/ECE Dept./Rowan University Governing Equations dl IsIs ds Recall: Field due to a line current
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S. Mandayam/ EEMAG-1/ECE Dept./Rowan University Coaxial Cable z x y a b c IzIz IzIz
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S. Mandayam/ EEMAG-1/ECE Dept./Rowan UniversitySolenoid z x y c a n turns
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S. Mandayam/ EEMAG-1/ECE Dept./Rowan University Poisson’s Equation Vector Poisson’s Equation Scalar Laplacian
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S. Mandayam/ EEMAG-1/ECE Dept./Rowan UniversityAnalogy
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Lorentz Force Law Force [N] Charge [C] Electric Field [V m -1 ] Velocity [m s -1 ] Magnetic Flux Density [T]
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S. Mandayam/ EEMAG-1/ECE Dept./Rowan University Motion of a Charge in a Uniform Magnetostatic Field Let DEMO: motionbstat x y At time zero At time t R
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S. Mandayam/ EEMAG-1/ECE Dept./Rowan University Matlab PDE Toolbox Magnetostatics Mode
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S. Mandayam/ EEMAG-1/ECE Dept./Rowan UniversitySummary
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