PHYS 206.002: Electricity and Magnetism Assignment: Week 3 1. (25 points) (Problems 29 in textbook / Chapter 23) In the below figure, determine the point (other than infinity) at which the electric field is zero. p718 2. (25 point) (Problems 32 in textbook / Chapter 23) Two charged particles are located on the x axis. The first is a charge +Q at x = −a. The second is an unknown charge located at x = +3a. The net electric field these charges produce at the origin has a magnitude of 2ke Q/a2 . Explain how many values are possible for the unknown charge and find the possible values. 1 3. (50 point) A thin rod of length l and uniform charger per unit length λ lies along the x axis as shown below. (a) Show that the electric field at P , a distance d from the rod along its perpendicular bisector, has no x component and is given by E = 2ke λ sin θ/d. (b) What if ? Using your result to part (a), show that the field of a rod of infinite length is E = 2ke λ/d. ! ! ! ! ! ! 17. ! a. up b. down c. to the right d. to the left A charged Styrofoam sphere of mass 0.04 g is suspended in air by an electric field E = 4 X 10^5 N/C j. What is the approximate charge on the sphere? a. 10^13 C b. 10^11 C c. 10^9 C d. 10^7 C ! 18. ! In the figure, which position has the lowest magnitude electric field? ! 2
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