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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 zaxis. b) Calculate the potential outside the shell, by integrating the electric field. Assume again that the potential is zero on the zaxis. c) Modify your answers to the above two parts to obtain the solutions if the potential on the zaxis 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 zaxis 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....
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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.
 Fall '08
 Staff
 Electromagnet

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