final review

# final review - Electromagnetics Workshop – Final Review...

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

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Electromagnetics Workshop – Final Review Final Review Problems & Solutions Problem 1: A cylindrical capacitor with inner radius a and outer radius b is filled with an inhomogeneous dielectric having k ε ε ρ = , where k is a constant. Calculate the capacitance per unit length of the capacitor. Problem 1 Solution: ˆ C dS d ρ × = ∫ ∫ D n l l Ñ [ ] 2 0 0 ˆ ˆ V/m 2 k E d dz E k π ρ ρ ε ρ ρ φ ρ ρ π ε × = ⇒ = ∫ ∫ ρ ρ l l l l ( 29 [ ] V 2 2 a b b a d k k ρ ρ ρ π ε π ε- Φ = - = ∫ l l ( 29 [ ] 2 F/m k Q C b a π ε = = Φ- l l 1 Electromagnetics Workshop – Final Review Final Review Problems & Solutions Problem 2: The cross-sectional view of an air-filled coaxial capacitor with spacers made out of material with permittivity ε is shown in the figure below. (a) Find the capacitance per unit length of this coaxial line in terms of ε , a , b , and φ . (b) If the spacers are to be made out of mica ( 29 6 ε ε = , determine the angle φ such that only 10% of the total energy stored by the capacitor is stored in the spacers. (c) Consider the capacitor without the spacers (i.e....
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

final review - Electromagnetics Workshop – Final Review...

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

View Full Document
Ask a homework question - tutors are online