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Name: ______________________ Homework 9 DUE ON MON 12/1 Multiple Choice Identify the choice that best completes the statement or answers the question. ____ ____ ____ 1. The two ends of a 3.0-Ω resistor are connected to a 9.0-V battery. What is the current through the resistor? a. 27 A b. 6.3 A c. 3.0 A d. 0.33 A 2. (1 point) When a 24.0-Ω resistor is connected across a 12.0-V battery, a current of 482 mA flows. What is the internal resistance of the battery? a. 0.02 Ω b. 0.9 Ω c. 25.0 Ω d. 49.8 Ω 3. (1 point) Resistors of values 6.0Ω, 4.0Ω, 10.0Ω and 7.0Ω are combined as shown. What is the equivalent resistance for this combination? (1 point) a. b. c. d. ____ 2.3 Ω 3.0 Ω 10.7 Ω 27 Ω 4. (1 point) How much current is flowing in one of the 10-Ω resistors? a. b. c. d. 0.8 A 2.0 A 1.6 A 2.4 A 1 ____ 5. (2 points) Consider the circuit shown in the figure. What power is dissipated by the entire circuit? a. b. c. d. ____ 14 W 28 W 52 W 112 W 6. (2 points) What is the current through the 2-Ω resistor? a. b. c. d. ____ 1.0 A 0.50 A 1.5 A 2.0 A 7. (2 points) What is the potential difference between points a and b? a. b. c. d. 6V 8V 12 V 24 V 2 ____ 8. (1 point) What is the current flowing through the 4-Ω resistor? a. b. c. d. ____ 1A 2A 3A 6A 9. (1 point) A 10-V-emf battery is connected in series with the following: a 2-µF capacitor, a 2-Ω resistor, an ammeter, and a switch, initially open; a voltmeter is connected in parallel across the capacitor. After the switch has been closed for a relatively long period (several seconds, say), what are the current and capacitor voltage readings, respectively? a. b. c. d. zero A, 10 V zero A, zero V 5 A, zero V 5 A, 10 V 3 ____ 10. A 1 000-V battery, a 3 000-Ω resistor and a 0.50-µF capacitor are connected in series with a switch. The time constant for such a circuit, designated by the Greek letter, τ, is defined as the time required to charge the capacitor to 63% of its capacity after the switch is closed. What is the value of τ for this circuit? (1 point) a. b. c. d. ____ 6.0 × 109 s 1.7 × 10−10 s 1.7 × 10−7 s 1.5 × 10−3 s 11. (2 points) A 1 000-V battery, a 3 000-Ω resistor and a 0.50-µF capacitor are connected in series with a switch. The time constant for such a circuit, designated by the Greek letter, τ, is defined as the time that the capacitor takes to charge to 63% of its capacity after the switch is closed. What is the current in the circuit at a time interval of τ seconds after the switch has been closed? a. b. c. d. ____ ____ 0.14 A 0.21 A 0.12 A 0.32 A 12. (2 points) A voltage source of 10 V is connected to a series RC circuit where R = 2.0 × 106 Ω, and C = 3.0 µF. Find the amount of time required for the current in the circuit to decay to 5% of its original value. Hint: This is the same amount of time for the capacitor to reach 95% of its maximum charge. a. 3.0 s b. 6.0 s c. 9.0 s d. 18 s 13. (2 points) A series RC circuit, which is made from a battery, a switch, a resistor, and a 3.0-µF capacitor, has a time constant of 9.0 ms. If an additional 6.0-µF is added in series to the 3.0-µF capacitor, what is the resulting time constant? a. 4.0 ms b. 6.0 ms c. 10 ms d. This cannot be found without the value of the resistance being given. 4 ____ ____ 14. The following three appliances are connected to a 120-V house circuit: i) toaster, 1 200 W, ii) coffee pot, 750 W, and iii) microwave, 800 W. If all were operated at the same time, what total current would they draw? a. 3.0 A b. 5.0 A c. 10 A d. 23 A 15. (1 point) Of the following choices, what is the maximum number of 60-W light bulbs you can connect in parallel in a 120-V home circuit without tripping the 30-A circuit breaker? a. 11 b. 35 c. 59 d. 3 600 (1 point) 5