Physics P Worksheet 22-1 Worksheet 22-1 Current, Voltage, Resistance, and Power Current, Voltage, Resistance, and Power 1. At some point in a wire, you observe 4 × 1018 electrons pass by in 0.5 s. What is the current flowing? 2. A hair dryer uses 10 A of current when plugged into a 120-V outlet. What is the resistance of the hair dryer? 3. A light bulb with a resistance of 160 Ω runs off 120 V. What is the current through the bulb? 4. Find the current flowing through a wire if its resistance is 20 Ω and the voltage is 12 V. 5. A radio operates with a potential difference of 9 volts. The radio uses 0.9 watt of power. How much current does the radio draw? 6. Many houses have fuses or circuit breakers which blow at 10 A of current. Can you run a 1500 W blow dryer in that house? Explain. 7. A resistor of 20 Ω is connected to a 60 V power source. Find the current flowing through the resistor. 8. A light bulb with a resistance of 240 Ω is connected to a household voltage of 120 V. How much current flows through the bulb? 9. What is the resistance of a hair dryer if 15 A of current flow through it when plugged into a 120-V outlet? 10. A smoke detector is powered by a 9-V battery. If it draws 300 µA of current, what is its resistance? 11. If a current of 0.083 A of current is measured to flow through a 20-W resistor, what must be the potential difference across the resistor? 12. A hair dryer draws 15 A of current. How much power does it use? (Hint: use the standard household voltage.) 13. How much current flows through a 60-W light bulb if it is designed to be used in a 120-V system? 14. How much current flows through a 60-W light bulb if it is instead designed to be used in a 12-V system? 15. What is the resistance of the filament of a standard 120-W light bulb? 16. What is the resistance of the filament of a standard 60-W light bulb? 17. In terms of meters, kilograms, seconds and coulombs, what is a joule? 18. In terms of meters, kilograms, seconds and coulombs, what is a watt? 19. In terms of meters, kilograms, seconds and coulombs, what is a volt? 20. In terms of meters, kilograms, seconds and coulombs, what is a ampere? 21. In terms of meters, kilograms, seconds and coulombs, what is a ohm? 22. Show that a N/C is the same thing as a V/m. 23. What is a simplified way of expressing a Ws (a watt times a second)? 24. What is a simplified way of expressing a As? 25. What is a kWh (kilowatt-hour)? Physics P 1. Worksheet 22-1 Current, Voltage, Resistance, and Power q = ne ( )( q = 4 ×10 electrons 1.6 ×10 18 -19 C/electron ) 6. q = 0.64 C q t 0.64 C I= 0.5 s I = 1.3 A Since the conventional current is the flow of positive charge we will ignore the fact that electrons are negative and give the current as a positive value. I= 2. 3. 4. 5. V R V R= I 120 V R= 10 A R = 12 Ω I= V I= R 120 V I= 160 Ω I = 0.75 A V R 12 V I= 20 Ω I = 0.6 A I= P = VI P I= V 0.9 W I= 9V I = 0.1 A 7. 8. P = VI P I= V 1500 W I= 120 V I = 12.5 A Since the maximum current is 10 A, the 12.5 A will blow the circuit. V R 60 V I= 20 Ω I =3A I= V R 120 V I= 240 Ω I = 0.5 A I= 9. V R V R= I 120 V R= 15 A R=8Ω 10. V R V R= I I= I= 9V 0.000 3 A R = 30 000 Ω = 30 kΩ R= 11. P = VI P V= I 20 W V= 0.083 A V = 240 V Physics P 12. Worksheet 22-1 Current, Voltage, Resistance, and Power P = VI ( )( P = 120 V 15 A 18. ) P = 1800 W 13. P = VI P I= V 60 W I= 120 V I = 0.5 A 14. P = VI P I= V 60 W I= 12 V I =5A 15. 16. 17. 19. P = VI P I= V 120 W I= 120 V I =1 A V R V R= I 120 V R= 1A R = 120 Ω P = VI P I= V 60 W I= 120 V I = 0.5 A V R V R= I 120 V R= 0.5 A R = 240 Ω I= 20. 21. J s N⋅m = s kg ⋅ m ⋅m 2 = s s kg ⋅ m 2 = s3 W= J C kg ⋅ m 2 s2 = C kg ⋅ m 2 = C ⋅s 2 V= A= Ω= = I= = = = J = N⋅m kg ⋅ m ⋅m s2 kg ⋅ m 2 = s2 = = 22. C s V A J C C s J ⋅s C2 N ⋅ m ⋅s C2 kg ⋅ m ⋅ m ⋅s s2 C2 kg ⋅ m 2 C2 ⋅s V J = m C⋅m N⋅m = C⋅m N = C Physics P 23. 24. Worksheet 22-1 Current, Voltage, Resistance, and Power J ⋅s s =J W ⋅s = C ⋅s s =C A ⋅s = 25. kW ⋅ h = 1000 W ⋅ 3600 s = 3 600 000 W ⋅s = 3 600 000 J