HW3 - ECE 134 Introductory Field Theory Fall 2010 Reading...

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ECE 134 Introductory Field Theory Fall 2010 1 Reading Assignment: Cheng: Sections 4.1-4.5 Homework #3 Due: Monday 18 October 2010 1) Do problem P.3-41 in Cheng. 2) The nucleus of can be modeled as a sphere of radius cm and total charge . Nuclear fission of is initiated by the absorption of a free neutron, causing the nucleus to become unstable and decompose into two fission products. In the process a few extra neutrons are released, which in the right circumstances can generate a chain reaction. To keep things simple let’s assume the fission products are identical of nuclear radius cm, with half the charge of the original nucleus: a. First find the electrostatic energy of the nucleus prior to fission. Treat the nucleus as a sphere of uniform charge density, and use the result in Example 3-22 of your book (also covered in lecture or discussion). For such large atoms there is little error in taking in the energy expression, but it is more technically correct to use to exclude the proton self-energy terms.
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