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PROBLEM #1: ELECTRIC FIELD VECTORS As part of your internship with a local power company, you have been assigned to a team reviewing published research about the effects of electric fields on human health. To evaluate the merits of apparently conflicting research, you need a computer program to simulate the electric field due to complicated charge configurations. Your team leader has assigned you the task of evaluating such a program. To test the program, you will compare its predictions to your own understanding of the electric field created by a fevw simple charge configurations. You start with the very simple configuration of a single positive charge. You then try a single negative charge. Finally, you consider a positive charge near a negative charge of equal magnitude (a dipole configuration) Qualitatively, determine the electric field distributions of a single positive charge, a single negative charge and a dipole Read Sternheim &Kane sections 16.1-5 EQUIPMENT You will use the computer application Electrostatics 3D This program will allow you to evaluate the electric field vector at any point near any given charge distribution. You will also have a ruler and protractor If you need assistance, send an email to labhelp@physics.umn.edu. Include the room number and brief description of the problem. WARM UP To solve this problem it is useful to have an organized problem-solving procedure such as the one outlined in the following questions 1. Draw a positively charged point object. What does the electric field look like surrounding a positive charge? How is this different from the field surrounding a negative charge? 2. At a point in space some distance from the positively charged point object, imagine you have another positively charged point object. The force on such a test charge (1 Coulomb) is the electric field at that point due to the charge configuration. Draw a vector representing the magnitude and direction of the force on the test charge due to the other charge 3. Now move your test charge to another point and draw the vector representing the force on it. (How does the magnitude of the force on the test charge depend on its distance from the positively charged point object? Make sure the length of your vector represents this dependence.) Continue this process until you have a satisfactory map of the electric field in the space surrounding the positively charged point object

4. Repeat the above steps for a negatively charged point object and for a dipole Should your test charge have a positive or negative charge in these cases?) For the dipole, remember that if two objects exert a force on a third object, the force on that third object is the vector sum of the forces exerted by each of the other objects PREDICTION Using your knowledge of the forces exerted by charged objects, draw vectors representing the electric field around the following charge distributions: (i) A positively charged point object; (ii) A negatively charged point object; (ii) A dipole (two equal but oppositely charged point objects separated by a small distance). As usual, the length of the vector should represent the magnitude of the field. In each case, draw enough vectors to give a qualitative idea of the behavior of the field. Where do you think the electric field will be the strongest? The weakest?

Please answer WARM-UP and PREDICTION.

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Here are the electric field diagrams. Please note that prediction diagrams will be same as warm up.

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