F07_hw02

# F07_hw02 - Physics 505 Fall 2007 Homework Assignment#2 Due...

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Physics 505 Fall 2007 Homework Assignment #2 — Due Thursday, September 20 Textbook problems: Ch. 1: 2.2, 2.8, 2.10, 2.11 2.2 Using the method of images, discuss the problem of a point charge q inside a hollow, grounded, conducting sphere of inner radius a . Find a ) the potential inside the sphere; b ) the induced surface-charge density; c ) the magnitude and direction of the force acting on q . d ) Is there any change in the solution if the sphere is kept at a fixed potential V ? If the sphere has a total charge Q on its inner and outer surfaces? 2.8 A two-dimensional potential problem is defined by two straight parallel line charges separated by a distance R with equal and opposite linear charge densities λ and - λ . a ) Show by direct construction that the surface of constant potential V is a circular cylinder (circle in the transverse dimensions) and find the coordinates of the axis of the cylinder and its radius in terms of R , λ , and V .

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