notes14 2317

# notes14 2317 - Potential Calculation ECE 2317 Applied...

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

Prof. Filippo Capolino ECE Dept. Fall 2006 Notes 14 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) Hence: Potential Calculation Potential Calculation () B AB A VE d r A B =⋅ −Φ r R Rr E d r Φ− Φ=⋅ r R rR E d r Φ= Φ −⋅ C r = B R = A Example Example Given: R = , Φ ( R ) = 0 2 0 4 q Er r πε ⎛⎞ = ⎜⎟ ⎝⎠ ± Choose a radial path for convenience Find the potential function y z q r R C r R E d r Φ 0 r R E dr Φ= − Example (cont.) Example (cont.) ± ± 2 0 0 sin 4 4 r r R r r R r r rE rdr rd r d Ed r q dr r q r ±± θ θφ Φ=− + + =− = [] 0 V 4 q r r

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

View Full Document
Example Example Given: R is at ρ = b, Φ ( R ) = 0 l 0 0 2 E περ ⎛⎞ = ⎜⎟ ⎝⎠ A Find the potential function Choose a radial path x y z l 0 [C/m] r R ( =b ) C () l l ± 0 r R r R b Ed r E dz d z d ρρ φρφ Φ= =− + + ± Example (cont.) Example (cont.) 0 0 0 0 0 0 2 ln 2 ln 2 b b d b A A A πε ρ πε
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 4

notes14 2317 - Potential Calculation ECE 2317 Applied...

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

View Full Document
Ask a homework question - tutors are online