You are a member of a team designing an electrostatic air cleaner for people suffering from allergies. The air passage through the device will contain many complicated charged electrodes that ionize and filter plant spores that cause allergic reactions. Because the electrode configuration is complicated, your team has decided to use a computer simulation to model the resulting electric field. Your task is to determine if the simulation results agree with physics for non-point-like charged objects. You decide to use the case of a uniformly charged rod, since this situation is simple enough for you to calculate and complicated enough to test thesimulation. , field at points outside the rod along the axis through the rod and also at points along an axis perpendicular to the rod that is through the middle of the rod. Because you construct the simulation, you know the uniformly distributed charge of the rod and the rod’s length. 1. Make a picture of six equally charged small objects arranged in a straight line. The charged objects are the same distance from each other. Select a point outside those charged objects and along the axis through them. Label all the quantities necessary to calculate the electric field at the point you selected. Decide on an appropriate coordinate system
2. Draw the electric field vector caused by one of the small objects at the point you selected Write an expression for its magnitude and directiorn
3. Write an expression for the electric field at your point in space caused by adding up the electric field caused by all of the charged objects 4. Write down the expression for the charge density of the entire line of charged objects in terms of quantities you know. Write down the expression for the charge density for two neighboring the charged objects. How does the charge density of the entire line of charged objects compare to the charge density of a small part of that line?
5. Describe how you could use the ideas in the previous steps to determine the electric field from a uniformly charged rod outside the rod and along the axis through the rod. Explain how the process of integral calculus allows you to add the electric fields from the very large number of charged objects making up that rod.