hw3 - ECE 329 Homework 3 Due 5PM 1 In free space find E if...

Info iconThis preview shows pages 1–2. 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: ECE 329 Homework 3 Due: Sept 14, 2010, 5PM 1. In free space, find E if the scalar potential is V ( x,y,z ) = xz 2 V. What is the static charge density ρ ( x,y,z ) ? 2. Given that E = x ˆ x + y ˆ y − 4 ˆ z V/m, determine the potential V ( x,y,z ) if V (0 , , 0) = 0 . 3. Coulomb’s field of a charge Q stationed at the origin of a right-handed Cartesian coordinate system can be expressed as E = Q 4 πϵ o r 2 ˆ r = Q 4 πϵ o r 2 ( x,y,z ) r , where r 2 ≡ x 2 + y 2 + z 2 and r ≥ . a) Verify that ∇ × E = 0 by showing that when ∇ × E is expanded as usual, all of its Cartesian components cancel out exactly. b) Assuming that the electrostatic potential V associated with E is zero at r = ∞ , show that V = Q 4 πϵ o r . Hint: In this spherically symmetric situation, E = −∇ V = − ∂V ∂r ˆ r . 4. Consider a static charge distribution consisting of two infinitesimally thin, parallel sheets of charge in the z = 0 and z = 2 planes. The bottom sheet (at z = 0 ) has an unknown surface charge density...
View Full Document

This note was uploaded on 11/06/2011 for the course ECE 329 taught by Professor Kim during the Spring '08 term at University of Illinois, Urbana Champaign.

Page1 / 2

hw3 - ECE 329 Homework 3 Due 5PM 1 In free space find E if...

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