EE 1; Homework 4: DUE MAY 12THMonday 5 PM (THERE WILL BE A COLLECTION BOX IN FRONT OF MY OFFICE ENGR. IV RM# 66-127D) 1)An electron beam shaped like a circular cylinder of radius r0carries a charge density given by 021vrρρ⎛⎞−⎟⎜=⎟⎜⎟⎜⎝⎠+(C/m3) where ρ0is a positive constant and the beam’s axis is coincident with the z-axis. (a)Determine the total charge contained in length Lof the beam. (b)If the electrons are moving in the +z direction with uniform speed u, determine the magnitude and direction of the current crossing the z-plane. 2) A coaxial conductor has radii a = 0.8 mm and b = 3 mm and a polystyrene dielectric for which εr= 2.56. If 2ˆPrr=nC/m2in the dielectric, find: (a)D and E as functions of r. (b)Find Vab and χe. 3)Dielectric breakdown occurs in a material whenever the magnitude of the field E exceeds the dielectric strength anywhere in that material. In the coaxial capacitor of inner and outer radius of aand bin centimeter, (a)At what value of r is |E| maximum? (b)What is the breakdown voltage if a =
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This note was uploaded on 06/18/2008 for the course EE 1 taught by Professor Joshi during the Spring '08 term at UCLA.