# Section 20.7 Parallel Wiring

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1 Here are a series of questions taken from the Cutnell & Johnson test bank. These are offered for practice purposes only. I will not grade your results and I do not want you to spend too much time on these. You should be able to do all of them, but some are quite difficult. I will be happy to discuss any difficulties you have with these problems, however. --J.G V battery is connected to two resistors connected in series as shown in the drawing. Determine the total power dissipated in the resistors. (a) W (d) 0.60 W (b) W (e) 4.7 W (c) 0.15 W 4.5 V 68 Ω 68 Ω 38. Two 15-Ω and three 25-Ω light bulbs and a 24 V battery are connected in a series circuit. What is the current that passes through each bulb? (a) 0.23 (b) 0.51 (c) 0.96 (d) 1.6 (e) The current will be 1.6 in the 15-Ω bulbs and 0.96 in the 25-Ω bulbs. Section 20.7 Parallel Wiring 39. Complete the following statement: simple series circuit contains a resistance R and an ideal battery. If a second resistor is connected in parallel with R, (a) the voltage across R will decrease. (b) the current through R will decrease. (c) the total current through the battery will increase. (d) the rate of energy dissipation in R will increase. (e) the equivalent resistance of the circuit will increase. 40. Some light bulbs are connected in parallel to a 120 V source as shown in the figure. Each bulb dissipates an average power of 60 W. The circuit has a fuse F that burns out when the current in the circuit exceeds 9. Determine the largest number of bulbs, which can be used in this circuit without burning out the fuse. (a) 9 (c) 25 (e) 36 (b) 17 (d) 34 2 Ω F 120 V 41. Two resistors are arranged in a circuit that carries a total current of 15 as shown in the figure. Which one of the entries in the following table is correct? 15 4 Ω Current through 2-Ω resistor Voltage across 4-Ω resistor (a) 5 10 V (b) 5 20 V (c) V (d) V (e) V

2 42. What is the total power dissipated in the two resistors in the circuit shown? (a) 10 W (d) 67 W (b) 15 W (e) 670 W (c) 33 W 10 V 10 Ω 20 Ω 43. Three resistors, 6.0-Ω, 9.0-Ω, 15-Ω, are connected in parallel in a circuit. What is the equivalent resistance of this combination of resistors? (a) 30 Ω (c) 3.8 Ω (e) 0.34 Ω (b) 10 Ω (d) 2.9 Ω Section 20.8 Circuits Wired Partially in Series and Partially in Parallel 44. Five resistors are connected as shown. What is the equivalent resistance between points and? (a) 6.8 Ω (d) 2.1 Ω (b) 9.2 Ω (e) 16 Ω (c) 3.4 Ω I 4.0 Ω 4.0 Ω 3.0 Ω 2.0 Ω 3.0 Ω 45. Jason s circuit has a 24-Ω resistor that is connected in series to two 12-Ω resistors that are connected in parallel. Jonna s circuit has three identical resistors wired in parallel. If the equivalent resistance of Jason s circuit is the same as that of Jonna s circuit, determine the value of Jonna s resistors. (a) 90 Ω (c) 30 Ω (e) 12 Ω (b) 48 Ω (d) 24 Ω Questions 46 through 48 pertain to the statement and diagram below: Three resistors are connected as shown in the figure. The potential difference between points and is 26 V. I 3.0 Ω 2.0 Ω 4.0 Ω 46. What is the equivalent resistance between the points and? (a) 3.8 Ω (c) 5.1 Ω (e) 9.0 Ω (b) 4.3 Ω (d) 6.8 Ω 47. How much current flows through the 3-Ω resistor? (a) 2.0 (c) 6.0 (e) 10.0 (b) 4.0 (d) How much current flows through the 2-Ω resistor? (a) 2.0 (c) 6.0 (e) 10.0 (b) 4.0 (d) 8.7

3 Questions 49 through 51 pertain to the statement and diagram below: Four resistors and a 6-V battery are arranged as shown in the circuit diagram. 6 V 20 Ω 30 Ω 10 Ω 60 Ω 49. Determine the equivalent resistance for this circuit. (a) 50 Ω (c) 29 Ω (e) 12 Ω (b) 120 Ω (d) 5 Ω 50. The smallest current passes through which resistor(s)? (a) the 10-Ω resistor (d) the 60-Ω resistor (b) the 20-Ω resistor (e) It is the same and the smallest in (c) the 30-Ω resistor the 30-Ω and 60-Ω resistors. 51. The largest potential difference is across which resistor(s)? (a) the 10-Ω resistor (d) the 60-Ω resistor (b) the 20-Ω resistor (e) It is the same and the largest for (c) the 30-Ω resistor the 30-Ω and 60-Ω resistors. Questions 52 through 55 pertain to the statement and diagram below: 60 Ω Three resistors are placed in a circuit 10 Ω as shown. The potential difference between points and is 30 V. 30 Ω 52. What is the equivalent resistance between the points and? (a) 10 Ω (c) 30 Ω (e) 100 Ω (b) 20 Ω (d) 50 Ω 53. What is the potential drop across the 10-Ω resistor? (a) 10 V (c) 30 V (e) 100 V (b) 20 V (d) 60 V 54. What is the potential drop across the 30-Ω resistor? (a) 10 V (c) 30 V (e) 100 V (b) 20 V (d) 60 V 55. What is the current through the 30-Ω resistor? (a) 0.3 (c) 0.7 (e) 2 (b) 0.5 (d) 1

4 Questions 63 through 67 pertain to the statement and diagram below: Five resistors are connected as shown in the diagram. The potential difference between points and is 25 V. 3.6 Ω 3.5 Ω 1.8 Ω 2.4 Ω 5.1 Ω 63. What is the equivalent resistance between the points and? (a) 1.5 Ω (c) 7.5 Ω (e) 11 Ω (b) 4.8 Ω (d) 9.4 Ω 64. What is the current through the 3.6-Ω resistor? (a) 1.3 (c) 6.9 (e) 25 (b) 3.3 (d) What is the current through the 1.8-Ω resistor? (a) 2.8 (c) 5.6 (e) 14 (b) 3.3 (d) How much energy is dissipated in the 1.8-Ω resistor in 4.0 seconds? (a) 18 J (c) 55 J (e) 93 J (b) 28 J (d) 64 J 67. What is the potential drop across the 3.5-Ω resistor? (a) 2.0 V (c) 8.0 V (e) 25 V (b) 5.0 V (d) 17 V Questions 68 through 71 pertain to the statement and diagram below: 3.2 Ω 4.1 Ω Five resistors are connected as shown in the diagram. The potential difference between points and is 15 V. 2.7 Ω 2.4 Ω 3.6 Ω 68. What is the equivalent resistance between the points and? (a) 1.5 Ω (c) 8.7 Ω (e) 11.1 Ω (b) 4.8 Ω (d) 10.4 Ω 69. What is the current in the 3.6-Ω resistor? (a) 1.3 (c) 2.9 (e) 15 (b) 1.7 (d) What is the current in the 2.7-Ω resistor? (a) 12 (c) 2.2 (e) 1.2 (b) 0.8 (d) 0.4

5 71. What amount of energy is dissipated in the 2.7-Ω resistor in 9.0 seconds? (a) 15 J (c) 29 J (e) 52 J (b) 24 J (d) 36 J

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