S. Mandayam/ EEMAG-1/ECE Dept./Rowan University Engineering Electromagnetics Fall 2004 Shreekanth Mandayam ECE Department Rowan University Lecture 7a October 19, 2004
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
S. Mandayam/ EEMAG-1/ECE Dept./Rowan University EEMAG-1: Topics Today
S. Mandayam/ EEMAG-1/ECE Dept./Rowan University Direct (Steady) Currents
S. Mandayam/ EEMAG-1/ECE Dept./Rowan University Governing Equations Direct current problems and E-static problems are analogous!
S. Mandayam/ EEMAG-1/ECE Dept./Rowan University A “Leaky” Capacitor d VsVs z x I Permitivity, Conductivity, I I VsVs C G
S. Mandayam/ EEMAG-1/ECE Dept./Rowan UniversityAnalogy
Matlab PDE Toolbox Conductive Media DC Mode
S. Mandayam/ EEMAG-1/ECE Dept./Rowan University Governing Equations dl IsIs ds Recall: Field due to a line current
S. Mandayam/ EEMAG-1/ECE Dept./Rowan University Coaxial Cable z x y a b c IzIz IzIz
S. Mandayam/ EEMAG-1/ECE Dept./Rowan UniversitySolenoid z x y c a n turns
S. Mandayam/ EEMAG-1/ECE Dept./Rowan University Poisson’s Equation Vector Poisson’s Equation Scalar Laplacian
S. Mandayam/ EEMAG-1/ECE Dept./Rowan UniversityAnalogy
Lorentz Force Law Force [N] Charge [C] Electric Field [V m -1 ] Velocity [m s -1 ] Magnetic Flux Density [T]
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
S. Mandayam/ EEMAG-1/ECE Dept./Rowan University Matlab PDE Toolbox Magnetostatics Mode
S. Mandayam/ EEMAG-1/ECE Dept./Rowan UniversitySummary