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# Written12 - Homework 12 Due 7 1 Consider an insulating sphere of radius R uniform charge density >0 and center at the origin a Use Gauss's law to

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Homework 12 Due April 10 20067 1) Consider an insulating sphere of radius R , uniform charge density ρ>0 and center at the origin. a) Use Gauss’s law to obtain an expression for the electric field vector at points inside the sphere. Draw a diagram of the Gaussian surface that you use in the derivation. b) Suppose I drill a narrow hole (which does not change the electric field) through the diameter of the sphere. If I drop a particle with charge –Q and mass m into the hole, show that the motion of this particle will be simple harmonic motion. What is the period of this motion? 2) Two identical insulating spheres with total charge +Q uniformly distributed throughout the volume and radius R are touching. If we take the x-axis to be the line connecting the centers of the spheres as shown, What are the electric field vectors at each of the points A(R,0), B(0,R), C(R/2,0) and D(0,R/2)? B D x y C A R

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Homework 12 Due April 10 20067 Solutions 2)a)Because of the spherical symmetry, the electric field points outwards from the center.
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## This homework help was uploaded on 03/26/2008 for the course PHYS 221 taught by Professor Herrera-siklody during the Spring '08 term at Iowa State.

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Written12 - Homework 12 Due 7 1 Consider an insulating sphere of radius R uniform charge density >0 and center at the origin a Use Gauss's law to

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