notes9 2317

notes9 2317 - Flux Density ECE 2317 Applied Electricity and...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
Prof. Filippo Capolino ECE Dept. Fall 2006 Notes 9 ECE 2317 ECE 2317 Applied Electricity and Magnetism Applied Electricity and Magnetism Notes prepared by the EM group, University of Houston . (used by Dr. Jackson, spring 2006) Flux Density Flux Density q E 2 0 0 2 2 4 [C/m ] 4 q Er r DE q Dr r πε ε π = = ± ± Define: “flux density vector” Flux Through Surface Flux Through Surface q D ± n S ± [] S D ndS C ψ ≡⋅ Example Example ± 2 2 4 4 S S S S Dnd S Drd S q rr d S r q dS r =⋅ ⎛⎞ ⎜⎟ ⎝⎠ = ± ±± v v v v (We want the flux going out) ± nr = ± x y z q D S Find the flux from a point charge going out through a spherical surface.
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Spherical Surface (cont.) Spherical Surface (cont.) () ( ) 2 2 2 00 2 0 sin 4 sin 4 2s i n 4 22 4 q rd d r q dd q d q ππ π ψ θθφ πθ θ ⎛⎞ = ⎜⎟ ⎝⎠ = = = ∫∫ [C] q = Flux Plot (3D) Flux Plot (3D) Rules: 1) Flux lines are in direction of D 2) #fluxlines area D S N D S Δ N S = # flux lines through Δ S S D S = small area perpendicular to the flux vector Flux Plot (2D)
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 6

notes9 2317 - Flux Density ECE 2317 Applied Electricity and...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online