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Electrical Potential (and Review of Electrostatics)

PLEASE SHOW ALL WORK WITH FORMULAS, SUBSTITUIONS, AND UNITS!!!!

1. If Rob recharges his dead 3.7 Volt battery by sending 12,500 C of charge through the terminals, calculate the amount of energy that Rob must store in the battery to make it fully charged?

2. Moving a point charge of 6.4 x 10-19 C between points X and Y in an electric field require 8.2 x 10-16 joules of energy. What is the potential difference between these points?

3. How much energy is needed to move one electron through a potential difference of 1.0 x 102 volts?

4. If 4 joules of work are required to move 2 coulombs of charge through a 6-ohm resistor, what is the potential difference across the resistor?

5. An electron is accelerated from rest through a potential difference of 200. volts. What is the work done on the electron?

6. If 2 x 10-11 joules of work are done to move 3 electrons from point A to point B, determine the potential difference between points A and B.

7. An electron placed between oppositely charged parallel plates A and B moves toward A, as represented in the diagram below. What is the direction of the electric field between the plates?

8. How much work does it take to move a positive charge of 5.0 x 10-5C from a point of lower potential to a point of higher potential when the voltage between the points is 65 volts?

9. It takes 8.0 x 10-3 J to move a charge of 4.0 x 10-6C from one point to another in an electric field. What is the difference in potential between the points?

10. If 120 J of work are performed to move one coulomb of charge from a positive plate to a negative plate, what potential difference exists between the plates?

11. If 120 joules of work are done to move 65 electrons from point A to point B, calculate the potential difference between points A and B.

12. Mr. Hafner is photocopying the Electric Field Lab for his physics classes. A particle of toner carrying a charge of 4.0 x 10-12 C in the copying machine experiences an electric field of 2.4 x 105 N/C as it is pulled toward the paper. What is the electric force acting on the toner particle?

13. How much force do 24 electrons feel in a field of 7 x 10-16 N/C?

14. How many excess electrons are on a ball with a charge of -8.8 x 10-18 C?

15. Two positively charged objects with 6.2 x 10-5 C are 25 cm apart. What force acts on each particle?

16. Two identical negative charges exert a repulsive force of 5.4 x 10-11 N when separated by a distance of 0.0045 mm. What is the charge on each?

17. Carefully sketch the electric field produced by a +4.0 mC charge that is within the electric field of a -8.0 mC charge?

18. If a neutral electroscope is charged by conduction with a negatively charged rod what is the final charge on the electroscope?

19. Sketch a neutral electroscope that is charged by induction using a positively charged rod? Which elementary particle is moving within the electroscope? Define polarization?

20. Which electric charge is possible:

a. 8.0 x 10-20 C b. 2.4 x 10-19 C c. 3.2 x 10-19 C d. 6.32 x 10-18 C

21. Two objects, A and B are rubbed together. If object A acquires an excess of 200 electrons object B must have done what?

22. Sphere A has a charge of 3 x 10-4C and sphere B has a charge of -5 x 10-4 C. If the two spheres were touched together and then separated, what would be the charge on sphere A?

23. Mike rubs two balloons against his hair, causing the balloons to become charged negatively with 4 x 10-8 C. He holds the balloons a distance of .5 m apart.

a. What is the electric force between the two balloons?

b. Is it one of attraction or repulsion?

c. Sketch the electric field between the two balloons.

24. Talia stands next to the Van de Graaf generator and gets a shock as she holds her knuckle .1 meters from the machine. In order for a spark to jump, the electric field must be 3 x 106 N/C. What force does an electron feel at the base of the Van de Graaf because of this field?

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