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E-Fields and Coulomb’s Law 1. A source charge (3 C) is surrounded by an electric field. a. What force would an electron (-1.6x10-19 C) experience at a location with a 1.25x1018 N/C electric field? (Ans: 0.2N) b. Replace the electron with a proton. What force would the proton experience? c. How would the forces experienced by the electron and proton differ? 2. A negative source charge (Q) is shown in the diagram below which has created an electric field. Various locations within the field are labeled. Imagine a positive test charge is placed at each location. Draw a vector on each test charge showing the direction and magnitude of the force/E-field experienced by the each charge. 3. Two charged spheres with respective values of 4 C and 2.5 C exert a repulsive force of 0.06N on each other. How far apart are the spheres? (Ans: 1.22m) 4. The symbol r in Coulomb's law equation represents the distance from ___. a. A to B b. A to D c. B to C d. B to D e. C to D f. A to G g. B to F h. C to E 5. Two charged Styrofoam cups are separated a distance of 20 cm. One cup has a charge of 3x10-6 C. If the repulsive electrical force between the cups is 0.5 N, what is the charge of the second cup? (Ans: 7.4x10-7 C) 6. Suppose that two charges attract each other with an electrical force of 12 Newtons. If the distance between the two charges is doubled, the charge of Q is double, and the charge of q is tripled, then what is the new electrical force of attraction between the two charges? (Ans: 18N) 7. A source charge, -3.4 C, is located 0.8m east of a test charge. Determine the electric field strength and its direction as experienced by the test charge. (Ans: 4.78x104 N/C East) 8. A source charge, 2 C, is located 0.02m south of a test charge. Determine the electric field strength and its direction as experienced by the test charge. (Ans: 4.5x107 N/C North) Superposition of Charges 9. Three point charges are placed in a horizontal line. The first charge has a value of 6 μC. The second charge is placed 0.03 meters to the right of the first charge and has a charge of 1.5 μC. The third charge is placed 0.02 meters to the right of the second and has a value of –2 μC. Calculate the net electric force acting on EACH of the three charges due to the other two. (ANS: 46.75 N left, 157.5 N right, 110.7 N left) a. Charge #1 b. Charge #2 c. Charge #3 10. Source charge A (3 C) is located 0.6m west of Source charge B (-2.1C). A test charge is located directly in between the 2 source charges. Determine the net electric field strength at the location of the test charge. (Ans: 5.1x105 N/C East) 11. Charged spheres A and B are fixed in position with B being 0.2 meters to the right of A. Charge A is 4 μC and charge B is – 0.25 μC. What is the net electric force acting on a third charged sphere C if it is placed 0.1 meters to the right of charge B. The charge on sphere C is 6.4 μC. (ANS: 1.12 N right) 12. Source charge A (-2.6 C) is located 0.4m north of Source charge B (-5.1C). A test charge is located directly in between the 2 source charges. Determine the net electric field strength at the location of the test charge. (Ans: 5.63x105 N/C South) Mixed Problems: 13. An electric field of 2.0x104 N/C is directed along the positive x-axis. What is the electric force on an electron in this field? (Hint: qelectron = -1.6x10-19 C) (Ans: 3.2x10-15 N, negative x direction) 14. Suppose that two charges attract each other with an electrical force of 12 Newtons. If the distance between the two charges is tripled, the charge of Q1 is 1/2, and the charge of Q2 is doubled, then what is the new electrical force of attraction between the two charges? Ans: 1.33N 15. A balloon has been rubbed with wool to give it a charge of -1.0 x 10-6 C. A glass rod with a charge of +4.0 x 10-6 C localized at a given position is held a distance of 50.0 cm above the balloon. Determine the electrical force of attraction between the rod and the balloon. (Ans: 0.144N) 16. A source charge, -15 C, is located 0.06m south of a test charge. Determine the electric field strength and its direction as experienced by the test charge. (3.75x107 N/C South) 17. Three point charges are arranged on the x-axis. Charge #1 is located at the origin and has a value of -6.1 μC. A second charge is located at 0.1 meters and has a charge of 1.1 μC. Charge #3 is located at 0.4 meters and has a value of 1.9 μC. What is the net force acting on charge #3? (Ans: 0.44N left) 18. Source charge A (4.8 C) is located 0.09m west of Source charge B (6.1C). A test charge is located 0.02m west of charge A. Determine the net electric field strength at the location of the test charge. (Ans: 1.13x108 N/C West)