Pre-lab exercises: Answer and complete the following questions and activities before coming to lab. Also before the lab, make certain you have uploaded the completed exercises onto Blackboard in the appropriate grading column. All uploads must be PDFs. Leave yourself time to check that your upload was performed successfully and that the upload is easily readable (not too small, pages have the same orientation, etc.). If your TA can't read what you've submitted, due to size issues or whatever, you will not receive credit or consideration for your submission. It is your responsibility to make sure that your submission is completed and easily readable by your TA. 1 . Suppose a system contains many charges. In order to define the electric field at a position with coordinated (x, y, z), do you need to know the locations of all charges in your system, yes or no? Explain your answer. 2. Define the electric field at a position with coordinates (x, y, z). This involves a small test particle with positive charge q. Why do you think the test charge must be small in size?3. If a small particle with electric charge q = -3.5 X 10-4 C is placed at the point with coordinates (- 4.0 m, 2.1 m, 2.2 m), where the x, y, and z components of the electric field are Ex = -10.5 N/C Ey = +10.5 N/C Ez = -8.0 N/C what is the force acting on the particle? Show your work, don't just write down an answer. 4. How is the electric potential energy of a charged particle with charge q at a given point related to the electric potential, or the voltage, at that point? Make sure to give a formula as well as a word answer. 5. Equipotential surfaces are imaginary surfaces over which the electric potential is a constant. Electric field lines are directed curves such that at each point in the space the curve is directed along the electric field. Explain how (geometrically) the electric field lines are related to the equipotential surfaces. 6. The figure at the right shows a cross-sectional view of a conducting metal fin at 10,000 V above a flat, metal, ground plane at 0 V. Sketch in your best estimate how the field lines and the equipotentials would look. Represent field lines as lines with arrow heads on them to indicate direction and the equipotentials as dashed curves. Draw at least five field lines and three equipotentials