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Physics 40S Problems – Potential Difference 1. If 4.00 x 1010 electrons travel from the negative to the positive terminal of a 6 volt battery: a) How many coulombs of charge flow? b) How much energy could be supplied? 2. If 6.00 x 1014 electrons travel from the negative to the positive terminal of a 12.0 volt battery: a) How many coulombs of electric charge flow? b) How much work could be done by this much electric charge? 3. If 3.15 Joules of work are done in moving 0.35 C of charge between the plates, what is the potential difference across the plates? (i.e. what is the voltage of the battery the plates are connected to?) - + + + + 4. If a battery does 1.80 x 10-5 Joules of work in moving a charge of 1.50 x 10-6 C between the plates, what is the voltage of the battery? - + + + + 5. How much work is done in moving 1.2 x 10-2 C of charge between two plates whose Potential difference is 6.00 volts? 6. How much work is done in transporting 0.40 C of charge between two plates, which are connected, to a 5000 volt source? 7. 6 Volts - + + + + 0.2 m Two plates have a potential difference of 6.00 volts and are 20 cm (.20 m) apart. If .15 C of electric charge is moved between the plates, find: a) amount of work done in moving the charge b) force exerted on the charge c) electric field strength (2 ways) Physics 40S 8. 200 Volts - + + + + Potential difference between the plates is 200 volts, and they are 8.00 mm apart. If 2 x 10-6 C of electric charge is moved between the plates, find: a) amount of work done in moving the charge b)force exerted on the charge c) electric field strength (2ways) 8 mm 9. The two horizontal parallel plates of a vacuum tube are 2.00 cm apart and connected across 120 volts. Find: a) the electric field strength, E, in the space between the plates. b) the electrical force, F, acting on an electron (q = 1.60 x 10-19 C) in the space between the plates. c) The energy, W, gained by an electron in travelling 2.00 cm from cathode to anode. 10. - + + + + An object of charge 1.6 x 10-6 C has a force of 4.00 x 10-2 N exerted on it when located between two charged plates as shown. Find: a) work done on the charge when it moves from the positive to the negative plate b) electric field strength c) voltage applied to the plates (2 ways) 20 cm 11. - + + + + 20 cm An object of charge 4.50 x 10-6 C has a force of 9.00 x 10-3 N exerted upon it when located between two charged plates as shown. Find: a) work done on the charge as it moves from the positive to the negative plate b) electric field strength c) voltage applied to the plates (2 ways) Physics 40S - 12. Fg + + + + Fe An alpha particle of mass 6.68 x 10-27 kg and charge 6.40 x 10-19 C is suspended between 2 plates separated by a distance of 2.00 cm. Find: a) Fe exerted on the charged particle b) electric field strength c) voltage applied to the plates - 13. Fg + + + + Fe A hydrogen (H+) of mass 1.67 x 10-27 kg and charge of 1.60 x 10-19 C is suspended between 2 plates which are separated by a distance of 1.50 cm. Find: a) Fe exerted on the ion b) electric field strength c) voltage applied to the plates 14. A charged particle of mass 4.00 x 10-14 kg is suspended between 2 charged plates separated by a distance of 2.50 cm, and with a potential difference of 500 V. Find: a) electric field strength b) Fe exerted on the particle c) Charge on the particle 15. A charged particle of mass 6.00 x 10-13 kg is suspended between 2 charged plates separated by a distance of 2.00 cm, and with a potential difference of 250 volts. Find: a) electric field strength b) Fe exerted on the particle c) Charge on the particle Physics 40S ANSWERS PROBLEMS – POTENTIAL DIFFERENCE 1. a) 6.40 x 10-9 C c) 3.84 x 10-8 J 2. a) 9.60 x 10-5 C c) 1.15 x 10-3 J 3. 9.00 V 4. 12 V 5. 7.20 x 10-2 J 6. 2000 J 7. a) 0.90 J b) 4.5 N c) 30.0 N/C 8. a) 4.00 x 10-4 J b) 0.05 N c) 25 000 N/C 9. a) 6000 N/C b) 9.60 x 10-16 N c) 1.92 x 10-17 J 10. a) 8.00 x 10-3 J b) 25 000 N/C c) 5 000 V 11. a) 1.80 x 10-3 J b) 2 000 N/C c) 400 V 12. a) 6.55 x 10-26 N b) 1.02 x 10-7 N/C c) V = 2.05 x 10-9 V 13. a) 1.64 x 10-26 N b) 1.02 x 10-7 N/C c) 1.53 x 10-9 V 14. a) 20 000 N/C b) 3.92 x 10-13 N c) 1.96 x 10-17 C 15. a) 12 500 N/C b) 5.88 x 10-12 N c) 4.7 x 10-16 C