ele401week4

ele401week4 - o < < a ) and carries a...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
ELE401 - Field Theory: Tutorial Problems Week 4 1. A short line of line-charge density ρ L exist on the z-axis between z = b and z = a , ( b > a > 0). (a) Solve for V ( ~ r ) at a general point P ( ρ,φ,z ) using: V ( ~ r ) = Z L 0 ρ L dl 0 4 πε o | ~ r - ~ r 0 | (1) (b) Use ~ E = - ~ V to solve for the ~ E field at a general point P ( ρ,φ,z ). (N.B.: This approach is easier than using Coulomb’s law directly.) Figure 1: Two concentric cylinders 1
Background image of page 1

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

View Full DocumentRight Arrow Icon
2. Two concentric cylinders are centred on the z-axis is shown in Figure 1. The cylinders are infinitely long, but the problem will focus on an “ l ” [ m ] length of cylinder only. The inner cylinder is solid (
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: o < < a ) and carries a volume charge density v where v is : v = a 2 [ C/m 3 ] (2) The outer cylinder at = b is a thin shell which carries a surface charge density S such that: S =- 2 b [ C/m 2 ] (3) (a) Solve for ~ E every where. (b) Solve for V ( ~ r ) every where, if V ( b ) = 0. (c) Solve for energy in the l [ m ] length using: i. 1 2 R v v V dv + 1 2 R S S V dS ii. 1 2 R v ~ D ~ Edv 2...
View Full Document

Page1 / 2

ele401week4 - o < < a ) and carries a...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online