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 9.0V 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 9.0V 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 12.0V 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 12.0V 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 12.0V 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 24V 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 24V 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 1.5volt 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 10Vemf battery is connected in series with the following: a 2µF 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 10Vemf 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 6.0V battery, a 4.0 resistor, a 0.60µF 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 6.0V battery, a 4.0 resistor, a 0.60µF 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 0.50µF 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 0.50µF 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 120V 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 60W light bulbs you can connect in parallel in a 120V home circuit without tripping the 30A 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 120V 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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