HW2 - ECE 134 Introductory Field Theory Fall 2010 Reading...

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ECE 134 Introductory Field Theory Fall 2010 1 Reading Assignment: Cheng: Sections 3.7–3.11, 4.4 Schey: review material as needed Cartoon Guide: Chapters 14-15 Homework #2 Due: Monday 11 October 2010 1) A ring of charge density [C/m] is located in the z =0 plane and coaxial with the z -axis as shown at right. The ring has a radius a . Find the potential and electrical field along the z- axis . Exploit symmetry if you can to help simplify the problem. 2) Suppose a hollow conducting tube of radius a contains a uniform charge density in the region . The tube is grounded such that Volts. Find the field and potential inside by a direct integration of Poisson’s equation (see inside of back cover of Cheng for in cylindrical coordinates). This problem could also be solved using Gauss’ law, but I want you to use Poisson’s equation instead. 3) A vacuum-tube diode is shown at right. The cathode is hot and emits electrons into the region between two parallel plates, where they travel towards the anode. In operation at
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