notes23 2317 - Prof. Filippo Capolino ECE Dept. Fall 2006...

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

View Full Document Right Arrow Icon

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

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Prof. Filippo Capolino ECE Dept. Fall 2006 Notes 23 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) Capacitance Capacitance capacitor [ ] F Q C V = [ ] [ ] ( ) 1 F 1 C/V = C [F] +Q -Q +- V r ε A B Note: the “A” conductor has the positive charge. Q = Q A V = V AB Capacitance Capacitance ( ) dQ i dt d Cv dt dv C dt = = = Note: Q is the charge that flows from left to right, into plate A +Q -Q + + + +---- i i +- v ( t ) A B Capacitance Capacitance So ( ) dv i t C dt = “passive sign convention” i i +- v ( t ) Example Example Method #1 (start with E ) “ideal parallel plate capacitor” A B x h [m] A [m 2 ] r ε Assume: ¡ x E x E = B h h AB x x A x V V E dr E dx E dx E h = = ⋅ = = = ∫ ∫ ∫ Find C E x Example (cont.) Example (cont.) Hence ¡ ¡ ¡ A A s A r r r x r x Q A A D n A n E A x E AE AE ρ ε ε ε ε ε ε ε ε = = ⋅ = ⋅ = ⋅ = = r x x AE Q C V E h ε ε = = h [m] A B x A [m 2 ] r ε + + + + + + + + + + + A s ρ [ ] r A C F h ε ε ⎛ ⎞ = ⎜ ⎟ ⎝ ⎠ Example (cont.) Example (cont.) Method #2 (start with...
View Full Document

This note was uploaded on 10/25/2011 for the course ECE 2317 taught by Professor Staff during the Fall '08 term at University of Houston.

Page1 / 6

notes23 2317 - Prof. Filippo Capolino ECE Dept. Fall 2006...

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