Electrostatics Test Review Hons. All work must be shown,including givens, equations used, and units. Draw diagrams as appropriate.

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1 Electrostatics Test Review Hons. All work must be shown,including givens, equations used, and units. Draw diagrams as appropriate. 1. If a charged rod A attracts another rod B, you can conclude that a. Rod B is also charged with the opposite charge b. rod B is uncharged c. either of answers a or b may be correct; you cannot tell for sure.. If two charged balloons repel, a. Both balloons are charged, and have like charge b. Both balloons are charged, and have unlike charge c. One of the balloons could be uncharged. 3. If you charge a conductor by touching it with a charged object, what kind of charging process is this? Does the conductor develop the same sign of charge as the charging object or the opposite sign? 4. If you charge a conductor by bringing a charged object near it without touching it and then grounding it, what kind of charging process is this? 5. Where does the excess charge on a conductor reside? 6. If you charge a conductor by induction, by bringing a negatively charged rod close to it, followed by grounding, what is the sign of the charge induced on the conductor? 7. You want to place a negative charge on a conductor, by the process of induction. Draw the steps of the process.

2 8. What is an electric field line map? Draw the electric field line map of a positive charge, a negative charge, and a positive and negative charge pair, and a negative negative charge pair. 9. Mark True or False. a. Electric field lines start at negative charges and end at positive charges or at infinity. b. Electric field lines start at positive charges and end at negative charges or at infinity. c. Electric field lines can cross each other. d. Electric field lines show the direction in which a positive charge would move. e.the electric field vector at any point is tangential to the field line at that point. f. The electric field is strongest where the number of field lines are the least. g. Negative charges move in the same direction as positive charges move in an electric field. h. An electric field can exist inside a closed conductor. 10. For the field map in the figure below, draw the electric field vector at points A and B. Are the charges q 1 & q, negative or positive? Where is the electric field strongest? How do you know? A q 1 q B 11. The electrostatic force between two charges is 0N. If the distance between the two charges is increased so that they are one-fourth as far as they were before and one of the charges is halved, what is the new force?(160 N)

3 1. A small charged dust ball, with a charge of 7.5 μc, and mass 9.0X10-5 C is placed in a constant electric field. Starting from rest, the dust ball accelerates to a speed of.0x10 3 m/s, over a distance of 5.0m. Find the magnitude of the electric field. (4.8X10 6 N/C) 13. The masses of the earth and moon are 5.98X10 4 kg and 7.35X10 kg respectively. Identical charges are placed on each body so that the net force acting on each of them is zero. Draw the free body diagram for each. Calculate the magnitude of the charge. Are the charges like or unlike charges? (5.7X10 13 C) 14. Three charges q 1 = 4.0 μc, q = -4.0 μc and q 3 = 5.0μC are located on the y-axis, at distances of + 0m, - 0m, and 0m respectively, from the origin. Find the net electric field at a point 10m from the origin on the + x- axis. What force acts on an alpha particle placed at that point? An alpha particle is equivalent to a helium nucleus.( w/ negative y-axis, 1.5X10-16 N, same direction)

4 14. Two van de Graaff generators carrying charges of -.0 mc and -3.5mC are 0m apart in a Physics Lab. Find the location between the two where an electron would be in equilibrium.(8. m from the mc charge) 15. A small 5.0 mc charged ball of mass 1.5g is suspended on a light string. The mass hangs in equilibrium in a 30 N/C electrical field as shown in the figure below. Find the angle made by the string and the tension in the string. ( 84 0, 0.15 N) θ 30 N/C

5 16. Four charges q 1 = 5.0 mc, q = -5.0 mc, q 3 = 3.0 mc, and q 4 = -3.0 mc are located at the four corners of a 0m square. Find the electric field at the center of the square. ( N/C right ) q 1 q q 3 q Are you safe if you stay in your car during a lightning storm? Justify your answer.

6 18. A 0.5 kg charged ball orbits around a charged Van de Graaf generator with a velocity of.5x10 5 m/s in a horizontal orbit of radius 3.0m. The Van de Graaf generator has 1000 times the charge on the ball. Find the charge on the ball and the generator. What are the signs of the charges on the ball and generator? (0.1 C, 10 C) 19. An electron (mass 9.11X10-31 kg) is shot midway between the plates of the parallel plate capacitor, shown below, with a horizontal velocity V of.0x10 5 m/s. Indicate the signs of the charge on the two plates on the figure below. Sketch the path followed by the electron as it travels between the plates. How long does it take for the electron to strike one of the plates? How far does the electron travel horizontally before it hits the plate? The plate separation is cm, and the electric field between the plates is 5.0X10 5 N/C. What is the velocity of the electron as it strikes the plate? Is it important to consider gravitational forces acting on the electron? Justify your answer.( 4.8X10-10 s, 9.5X10-5 m, 4.X10 7 m/s) V

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