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February 21, 2017 1. A potential difference of 10 V exists between two points, A and B, within an electric field. What is the magnitude of charge that requires 2.0 x 10-2 J of work to move it from A to B? 2. How much electrical energy is required to move a 4.0 C charge through a potential difference of 36.0 V? 3. If 1.0 J of work is required to move 1.0 C of charge between two points in an electric field, what is the potential difference between the two points? 4. Five coulombs of charge are moved between two points in an electric field where the potential difference between the points is 12 V. How much work is required? February 21, 2017 5. In an electric field, 0.90 J of work is required to bring 0.45 C of charge from point A to point B. What is the electric potential difference between points A and B? 6. A proton is moved through a potential difference of 10 V in an electric field. How much work, in electron-volts, was required to move this charge? 7. A plot of electric potential difference vs position along a line is shown below. Use the plot to answer the following questions. a. Where is the magnitude of the electric field strength the greatest? b. What is the magnitude of the electric field strength at point A? c. What is the speed of a 10 g particle released from rest on the 30-V equipotential when it reaches the 10 V equipotential if its charge is 1.0 mC? February 21, 2017 8. A plot of electric potential vs. x-position is shown in the diagram below. Use the diagram to answer the following questions. a. At which point(s) is the electric field zero? b. Where is the magnitude of the electric field strength at a maximum? c. What is the electric field strength at Point A? 9. Based on the plot of equipotentials below, which is drawn to scale, answer the following questions. a. Rank the magnitude of the electric field strength at Points A, B and C from greatest to least. b. Determine the magnitude of the electric field strength at Point C. c. Draw the direction of the of the electric fields at Points A, B and C. February 21, 2017 10. The diagram below shows four point charges of magnitude Q fixed in space, along with four specific points in space, labeled A through D. a. At which of the four points A through D, if any, is the electric field strength zero? b. At which of the four points A through D, if any, is the electric potential zero? 11. The diagram below shows two point charges of charge +Q fixed in space, along with five specific points in space, labeled A through E. a. Rank the magnitude of the electric field strength at points A through E from greatest to least. b. Rank the magnitude of the electric potential at points A through E from greatest to least. February 21, 2017 12.Find the electric potential at the origin due to the following charges: 2 C at (3,0); -5 C at (0,5); and 1 C at (4,4). 13. Two point charges (5 C and 2 C) are placed 0.5 m apart. a. How much work was required to establish the charge system? b. What is the electric potential halfway between the two charges? 12. Two charges are placed along a line as shown in the diagram below. a. Rank the electric field strength from highest to lowest at points A, B and C. b. Rank the electric potential from highest to lowest at points A, B and C. February 21, 2017 14. The magnitude of the electric field strength between two oppositely charged parallel metal plates is 2.0 x 103 N/C. Point P is located midway between the plates. a. Sketch at least five electric field lines to represent the field between the two oppositely charged plates. b. An electron is located at point P between the plates. Calculate the magnitude of the force exerted on the electron by the electric field. 15. A moving electron is deflected by two oppositely charged parallel plates, as shown in the diagram below. The electric field between the plates is directed from A to B B. B to A C. C to D D. D to C February 21, 2017 16. An electron placed between oppositely charged parallel plates moves toward plate A, as represented in the diagram below. What is the direction of the electric field between the plates? a. Toward plate A b. Toward plate B c. Into the page d. Out of the page 17. The diagram below represents two electrons, e1 and e2, located between two oppositely charged parallel plates. Compare the magnitude of the force exerted by the electric field on e1 to the magnitude of the force exerted by the electric field on e2. 18. A capacitor stores 3 C of charge with a potential difference of 1.5 V across the plates. What is the capacitance? 19. How much charge sits on the top plate of a 200 nF capacitor when charged to a potential difference of 6 V? February 21, 2017 20. Rank the magnitude of the electric field strength between the plates of the following parallel-plate capacitors from greatest to least. 21. An air-gap parallel-plate capacitor is connected to a source of constant potential difference as shown in the diagram below. Rank the magnitude of the electric field strength from greatest to least at points A, B, C, D and E.