Consider the following cases of positive point charges placed near each other, but fixed in spaced. Case A +q Case B Case C +q Case D +q S O -30 S S O +0 +30 +0 +0 +0 +30 Assume that |Q| > lal. Rank the four cases according to the magnitude of the net electric force felt by the +q charge. Justify your prediction by providing a force diagram for the +q charge that shows each individual force acting on the charge and also shows the resultant force. An explanation of your work should be included for full credit. Please either take a picture of your predictions and upload it to Canvas or use a drawing program (e.g. Windows "Paint" or Mac "Paintbrush") to reproduce the figure and upload it to Canvas. Make sure you embed the image in your discussion post to earn full credit, do not simply attach the file to your post.Consider the following two cases. In case A below, a point charge +q is a distance s from the center of a small ball with charge +Q. In case B the +q charge is a distance s from the center of an acrylic rod with a total charge +Q. Case A +q Case B +q Uniformly charged rod with total charge +Q Two students have a dialogue about these two cases: Student 1 : "The charged rod and the charged ball have the same charge, +Q, and are the same distance from the point charge, +q. So the force on +q will be the same in both cases." Student 2 : "No, in case B there are charges spread all over the rod. The charge directly below the point charge will exert the same force on +q as the ball in case A. The rest of the charge on the rod will make the force in case B bigger." Neither student is correct. Write a correct description of how the forces compare. Explain your conclusions and include a force diagram for each case.Four positive point charges are arranged as diagrammed below. Assume that |Q| > |q|, and that all the +Q Charges are held at a xed distance .51 away from the +1; charge. O+q \"I __ _.I +9 " -- ...- '+Q +Q Consider the following student dialogue concerning the net force on the +q charge: Student 1 : "The net electric force on the +q charge is now three times as large as before. since there are now three positive charges exerting forces on it." Student 2: "I don't think so. The force from the +6? charge on the left will cancel the force from the +Q charge on the right. The net electric force will be the same as if only the middle +Q charge were present, as illustrated below." .O-l-q -' 0 +9 A. Do you agree with either student? Explain your reasoning. B. Make a force diagram for the +9 charge as it interacts with the three +Q charges. What is the net force vector on the +q charge? Show and explain your work. C. How does the net force on the charge compare to the system student 2 has mentioned? Is it greater than, less than or equal to it? If you feel it is impossible to tell, briey explain what additional information you would need to arrive at a conclusion. A. We begin by considering the behavior of a pith ball placed near a charged rod. Pith balls are small conducting spheres used in the lab setting to model point-like charges, they are usually hung from strings to that the amount of the balls swing from equilibrium can be used as a qualitative measure of the strength of the force. A plastic rod is rubbed with a piece of wool or silk to give it a net charge and then an uncharged pith ball is allowed to touch the rod. This contact will charge the pith ball with the same sign charge as the rod, and thus the pitch ball will immediately recoil from the rod after they make brief contact. If the ball is placed near the rod at the points shown in the diagram below a rough estimate of the force felt by the pith ball can be recorded by measuring how much it swings away from equilibrium. Top view The green arrows illustrate the force felt by the pith ball at each of those points. Keep in mind that these vectors carry two distinct pieces of information, magnitude and direction. 1. Based on these observations, is it appropriate to consider the charged rod as a point charge? Explain why or why not. B. Imagine that two charged rods are held together as shown below and a charged pith ball (with the same charge as the rod) is placed at point P. P Top view Predict whether the rod farther from point P would exert an electric force on the pith ball. Explain your prediction. C. A rod like the one in part A is broken into five short segments (labeled 1-5). The segments are charged by rubbing them with wool or silk (assume they all end up with the exact same charge). They are then arranged as shown below and a pith ball with the same sign charge is placed, in turn, at points A and B. 2 3 Top view 1. Indicate the approximate direction of the force on the pith ball at points A and B due to segment 5 alone. 2. What is the direction of the net electric force on the pith ball at points A and B? Explain how you determined your answer. 3. Does segment 2 exert a force on the pith ball when the pith ball is placed at point B? Explain