DC Circuits. 3. Three 8.0- resistors are connected in series. What is their equivalent resistance? a c b. 8.0 d. 0.13

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1 DC Circuits 1. The two ends of a 3.0- resistor are connected to a 9.0-V battery. What is the current through the resistor? a. 27 A c. 3.0 A b. 6.3 A d A 2. The two ends of a 3.0- resistor are connected to a 9.0-V battery. What is the total power delivered by the battery to the circuit? a. 3.0 W c W b. 27 W d W 3. Three 8.0- resistors are connected in series. What is their equivalent resistance? a c b. 8.0 d Three resistors connected in series each carry currents labeled I 1, I 2 and I 3. Which of the following expresses the value of the total current I T in the system made up of the three resistors in series? a. I T = I 1 + I 2 + I 3 c. I T = I 1 = I 2 = I 3 b. I T = (1/I 1 + 1/I 2 + 1/I 3 ) d. I T = (1/I 1 + 1/I 2 + 1/I 3 ) 1 5. Three resistors connected in series have individual voltages labeled V 1, V 2 and V 3, respectively. Which of the following expresses the value of the total voltage V T taken over the three resistors together? a. V T = V 1 + V 2 + V 3 c. V T = V 1 = V 2 = V 3 b. V T = (1/ V 1 + 1/ V 2 + 1/ V 3 ) d. V T = (1/ V 1 + 1/ V 2 + 1/ V 3 ) 1 6. Three resistors with values of R 1, R 2 and R 3, respectively, are connected in series. Which of the following expresses the total resistance, R T, of the three resistors? a. R T = R 1 + R 2 + R 3 c. R T = R 1 = R 2 = R 3 b. R T = (1/R 1 + 1/R 2 + 1/R 3 ) d. R T = (1/R 1 + 1/R 2 + 1/R 3 ) 1 7. Three resistors, with values of 2.0, 4.0 and 8.0, respectively, are connected in series. What is the overall resistance of this combination? a c. 7.0 b. 1.1 d Three resistors, each with resistance R 1, are in series in a circuit. They are replaced by one equivalent resistor, R. Comparing this resistor to the first resistor of the initial circuit, which of the following is true? a. The current through R equals the current through R 1. c. The power given off by R equals the power given off by R 1. b. The voltage across R equals the voltage across R 1. d. R is less than R Three resistors connected in parallel each carry currents labeled I 1, I 2 and I 3. Which of the following expresses the value of the total current I T in the combined system? a. I T = I 1 + I 2 + I 3 c. I T = I 1 = I 2 = I 3 b. I T = (1/I 1 + 1/I 2 + 1/I 3 ) d. I T = (1/I 1 + 1/I 2 + 1/I 3 ) 1 1

2 10. Three resistors connected in parallel have the individual voltages labeled V 1, V 2 and V 3, respectively. Which of the following expresses the total voltage V T across the three resistors when connected in this manner? a. V T = V 1 + V 2 + V 3 c. V T = V 1 = V 2 = V 3 b. V T = (1/ V 1 + 1/ V 2 + 1/ V 3 ) d. V T = (1/ V 1 + 1/ V 2 + 1/ V 3 ) Three resistors with values R 1, R 2 and R 3, respectively, are connected in parallel. Which of the following expresses the total resistance, R T, of the three resistors when connected in parallel? a. R T = R 1 + R 2 + R 3 c. R T = R 1 = R 2 = R 3 b. R T = (1/R 1 + 1/R 2 + 1/R 3 ) d. R T = (1/R 1 + 1/R 2 + 1/R 3 ) Three resistors, each with resistance R 1, are in parallel in a circuit. They are replaced by one equivalent resistor, R. Compare this resistor to the first resistor of the initial circuit. Which of the following statements is true? a. The current through R equals the current c. The power given off by R equals the through R 1. b. The voltage across R equals the voltage across R 1. power given off by R 1. d. R is greater than R If R 1 < R 2 < R 3, and if these resistors are connected in parallel in a circuit, which one has the highest current? a. R 1 c. R 3 b. R 2 d. All have the same current. 14. What is Kirchhoff s 1st equation for this junction? a. I 1 = I 2 + I 3 c. I 3 = I 1 + I 2 b. I 2 = I 1 + I 2 d. I 1 + I 2 + I 3 = If I 1 goes to the right through R 1, I 2 goes to the right through R 2, and I 3 goes to the right through R 3, what is the resulting equation resulting from applying Kirchhoff s junction rule at point b? a. I 1 + I 2 + I 3 = 0 c. I 1 I 2 + I 3 = 0 b. I 1 + I 2 I 3 = 0 d. I 1 I 2 I 3 = 0 2

3 16. The internal resistances of an ideal voltmeter and an ideal ammeter are respectively (ideal meaning the behavior of the system is not changed when using the meter): a. zero and zero. c. zero and infinite. b. infinite and infinite. d. infinite and zero. 17. When a resistor is connected across a 12.0-V battery, a current of 482 ma flows. What is the internal resistance of the battery? a c b. 0.9 d When a resistor is connected across a 12.0-V battery, a current of 482 ma flows. What is the power output delivered by the emf of the battery? a W c W b W d W 19. Which resistor is in series with resistor R? a. R 1 c. R 3 b. R 2 d. R If R 1 < R 2 < R 3, and if these resistors are connected in series in a circuit, which one dissipates the greatest power? a. R 1 c. R 3 b. R 2 d. All are equal in power dissipation. 21. Resistors of values 8.0, 12.0, and 24.0 are connected in series across a battery with a small internal resistance. Which resistor dissipates the greatest power? a. the 8.0- resistor c. the resistor b. the resistor d. The answer depends on the internal resistance of the battery. 22. Three 8.0- resistors are connected in parallel. What is their equivalent resistance? a c b d Three 4.0- resistors are connected in parallel to a 12.0-V battery. What is the current in any one of the resistors? a. 16 A c. 3.0 A b. 9.0 A d. 48 A 24. Three resistors, with values of 2.0, 4.0 and 8.0, respectively, are connected in parallel. What is the overall resistance of this combination? a c. 7.0 b. 1.1 d

4 25. Two resistors of values 6.0 and 12.0 are connected in parallel. This combination in turn is hooked in series with a 4.0- resistor. What is the overall resistance of this combination? a c. 8.0 b. 2.0 d Two resistors of values 6.0 and 12.0 are connected in parallel. This combination in turn is hooked in series with a 2.0- resistor and a 24-V battery. What is the current in the 2- resistor? a. 2.0 A c. 6.0 A b. 4.0 A d. 12 A 27. Two resistors of values 6.0 and 12.0 are connected in parallel. This combination in turn is hooked in series with a 4.0- resistor and a 24-V battery. What is the current in the 6- resistor? a. 2.0 A c. 6.0 A b. 3.0 A d. 12 A 28. Which two resistors are in parallel with each other? a. R and R 4 c. R 2 and R 4 b. R 2 and R 3 d. R and R Resistors of values 6.0, 4.0, 10.0 and 7.0 are combined as shown. What is the equivalent resistance for this combination? a. 2.3 c b. 3.0 d What is the equivalent resistance for these resistors? a c b d

5 31. How much current is flowing in one of the 10- resistors? a. 0.8 A c. 1.6 A b. 2.0 A d. 2.4 A 32. How much power is being dissipated by one of the 10- resistors? a. 24 W c. 16 W b. 9.6 W d. 6.4 W 33. If = 9.0 V, what is the current in the 15- resistor? a A c A b A d A 34. Consider the circuit shown in the figure. What power is dissipated by the entire circuit? a. 14 W c. 52 W b. 28 W d. 112 W 5

6 35. If I 1 goes to the right through R 1, I 2 goes to the right through R 2, and I 3 goes to the right through R 3, what is the resulting equation resulting from applying Kirchhoff s loop rule for a clockwise loop around the perimeter of the circuit? a. 8.0 V + I 1 R 1 + I 3 R 3 = 0 c. 8.0 V I 1 R 1 + I 3 R 3 = 0 b. 8.0 V + I 1 R 1 I 3 R 3 = 0 d. 8.0 V + I 1 R 1 + I 3 R 3 = What is the current flowing through the 2- resistor? a. 2 A c. 4 A b. 3 A d. 6 A 37. What is the current flowing through the 4- resistor? a. 1 A c. 3 A b. 2 A d. 6 A 38. Four 1.5-volt AA batteries in series power a transistor radio. If the batteries hold a total charge of 240 C, how long will they last if the radio has a resistance of 200? a. 1.1 h c. 4.1 h b. 2.2 h d. 13 h 6

7 39. In a circuit, a current of 2.0 A is drawn from a battery. The current then divides and passes through two resistors in parallel. One of the resistors has a value of 64 and the current through it is 0.40 A. What is the value of the other resistor? a. 8.0 c. 24 b. 16 d A 10-V-emf battery is connected in series with the following: a 2-µF capacitor, a 2- resistor, an ammeter, and a switch, initially open; a voltmeter is connected in parallel across the capacitor. At the instant the switch is closed, what are the current and capacitor voltage readings, respectively? a. zero A, 10 V c. 5 A, zero V b. zero A, zero V d. 5 A, 10 V 41. A 10-V-emf battery is connected in series with the following: a 2- F capacitor, a 2- 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. zero A, 10 V c. 5 A, zero V b. zero A, zero V d. 5 A, 10 V 42. A circuit contains a 6.0-V battery, a 4.0- resistor, a 0.60-µF capacitor, an ammeter, and a switch all in series. What will be the current reading immediately after the switch is closed? a. zero c. 1.5 A b A d. 10 A 7

8 43. A circuit contains a 6.0-V battery, a 4.0- resistor, a 0.60-µF capacitor, an ammeter, and a switch in series. What will be the charge on the capacitor 10 min after the switch is closed? a. zero c. 3.6 C b C d. 2.4 C 44. A V battery, a resistor, and a 0.50-µF capacitor are connected in series with a switch. The capacitor is initially uncharged. What is the value of the current the moment after the switch is closed? a A c A b A d A 45. A V battery, a 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,, 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 for this circuit? a s c s b s d s 46. The following three appliances are connected to a 120-V house circuit: i) toaster, 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 c. 10 A b. 5.0 A d. 23 A 47. 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 c. 59 b. 35 d A hair dryer draws W, a curling iron draws 800 W, and an electric light fixture draws 500 W. If all three of these appliances are operating in parallel on a 120-V circuit, what is the total current drawn? a A c A b A d A 8

9 ID: A DC Circuits Answer Section MULTIPLE CHOICE 1. C 2. B 3. A 4. C 5. A 6. A 7. D 8. A 9. A 10. C 11. D 12. B 13. A 14. D 15. A 16. D 17. B 18. C 19. D 20. C 21. C 22. D 23. C 24. B 25. C 26. B 27. A 28. B 29. C 30. B 31. A 32. D 33. A 34. C 35. C 36. C 37. A 38. B 39. B 40. C 1

10 ID: A 41. A 42. C 43. C 44. B 45. D 46. D 47. C 48. B 2

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