10 - Electromagnetics Workshop – Week 10 Solutions Electrostatic Potential Dielectrics& Faraday’s Law Problem 1 An infinitely long

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: Electromagnetics Workshop – Week 10 Solutions Electrostatic Potential, Dielectrics, & Faraday’s Law Problem 1: An infinitely long cylindrical shell of uniform charge density s ρ [C/m 2 ] is shown below. a) Calculate the potential inside the shell, by integrating the electric field. Assume that the potential is zero on the z-axis. b) Calculate the potential outside the shell, by integrating the electric field. Assume again that the potential is zero on the z-axis. c) Modify your answers to the above two parts to obtain the solutions if the potential on the z-axis is 10 [V]. : a ρ < = E , no charge is enclosed [ ] : V/m s a a ρ ρ ε ρ = E : a ρ < Φ = , since the electric field is zero inside ( 29 [ ] : ln V s s a a a a a d ρ ρ ρ ρ ρ ρ ε ρ ε ρ Φ = - = ÷ ∫ If the potential on the z-axis is 10 [V]: : a ρ < = E , no charge is enclosed [ ] : V/m s a a ρ ρ ε ρ = E [ ] : 10 V a ρ < Φ = , since the electric field is zero inside ( 29 ( 29 ( 29 [ ] : ln 10 V s s a a a a a d ρ ρ ρ ρ ρ ρ ρ ε ρ ε ρ Φ- Φ = - ⇒ Φ = + ÷ ∫ 1 Electromagnetics Workshop – Week 10 Solutions Electrostatic Potential, Dielectrics, & Faraday’s Law Problem 2: Fused silica (SiO 2 ) has a relative permittivity of approximately 3.8. The density of fused silica is 2.2 [g/cm 3 ]. There are 21.44352×10There are 21....
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 / 4

10 - Electromagnetics Workshop – Week 10 Solutions Electrostatic Potential Dielectrics& Faraday’s Law Problem 1 An infinitely long

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