# HW1 - ECE 134 Introductory Field Theory Fall 2010 Reading...

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ECE 134 Introductory Field Theory Fall 2010 1 Reading Assignment: Cheng: Review Chapters 1-2, study sections 3.1–3.6 Schey: review material as needed Cartoon Guide: Chapters 12-13 Homework #1 Due: Monday 4 October 2010 1) We have already seen in our limited study that the equations of electromagnetics often involve a vector that describes the separation between the source location and the observation point at which we want to determine the fields. If we describe the observation point by the position vector and the source point by , then . In rectangular coordinates it is easy to see that (1.1) Find when the source and observation points are described in a) cylindrical coordinates, or b) spherical coordinates 2) We will use the following identity in the derivation of the electrostatic potential (1.2) where is given by (1.1), and is the unit vector in the direction of . Prove the result (1.2) by carrying out the gradient operation on . Note that (1.2) is nothing more than the vector equivalent of the more familiar expression

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## This note was uploaded on 12/04/2010 for the course ECE 134 taught by Professor York during the Fall '08 term at UCSB.

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HW1 - ECE 134 Introductory Field Theory Fall 2010 Reading...

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