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Engineering Electromagnetics 1 0909.301.01 Fall 2004

Engineering Electromagnetics 1 0909.301.01 Fall 2004. Lecture 7a October 19, 2004. Shreekanth Mandayam ECE Department Rowan University http://engineering.rowan.edu/~shreek/fall04/eemag1/. Plan. Magnetostatics Direct Currents A “Leaky” Capacitor

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Engineering Electromagnetics 1 0909.301.01 Fall 2004

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  1. Engineering Electromagnetics 10909.301.01Fall 2004 Lecture 7aOctober 19, 2004 Shreekanth Mandayam ECE Department Rowan University http://engineering.rowan.edu/~shreek/fall04/eemag1/

  2. Plan • 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

  3. EEMAG-1: Topics Today

  4. Direct (Steady) Currents

  5. Governing Equations Direct current problems and E-static problems are analogous!

  6. I Vs C G A “Leaky” Capacitor x - - - - - - - - - - - - - - - - - - - - - Permitivity, e Conductivity, s d I + + + + + + + + + + + + + + + + z I Vs

  7. Analogy

  8. Matlab PDE Toolbox Conductive Media DC Mode

  9. Governing Equations Recall: Field due to a line current dl Is f ds

  10. y r a x b c z Coaxial Cable Iz Iz

  11. Solenoid y n turns x a c z

  12. Poisson’s Equation Vector Poisson’s Equation Scalar Laplacian

  13. Analogy

  14. Lorentz Force Law Force [N] Magnetic Flux Density [T] Velocity [m s-1] Electric Field [V m-1] Charge [C]

  15. y x At time t R At time zero Motion of a Charge in a Uniform Magnetostatic Field Let DEMO:motionbstat

  16. Matlab PDE Toolbox Magnetostatics Mode

  17. Summary

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