written13 - Homework 13 Due 1 The equipotential surfaces in...

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Homework 13 Due April 17 2007 1) The equipotential surfaces in a region of space are concentric spheres with constant spacing for constant potential difference between two contiguous surfaces (see figure right). Let each of the equipotential surfaces differ in potential from the next surface by V and the separation between the surfaces be r . The potential increases in the outwards direction. a) What is the electric field vector as a function of position? b) How much total charge is found within a sphere of radius R centered about the origin? c) Write an expression for the charge density as a function of position. . 2) Suppose that two infinite cylindrical wires of radius R run parallel separated by a distance d>>R. One of the wires has charge per unit length while the other has charge per unit length −λ and since d>>R, it is reasonable to assume that the surface charge distribution of each of the wires is constant (i.e. not effected by the electric field of the other wire). What is the potential difference between the two wires?
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