# Circuits Practice Websheet 18.1

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1 Circuits Practice Websheet 18.1 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. How much power is being dissipated by one of the 10-Ω resistors? a. 24 W b. 9.6 W c. 16 W d. 6.4 W e. 8.2 W 2. If ε = 24 V, at what rate is thermal energy generated in the 20-Ω resistor? a. 13 W b. 3.2 W c. 23 W d. 39 W e W 3. 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 b. R 2 c. R 3 d. All have the same current. e. The answer depends on the internal resistance of the battery. 1

2 4. Resistors of values 8.0 Ω, 12.0 Ω, and 24.0 Ω are connected in parallel across a fresh battery. Which resistor dissipates the greatest power? a. the 8.0-Ω resistor b. the 12.0-Ω resistor c. the 24.0-Ω resistor d. All dissipate the same power when in series. e. The answer depends on the internal resistance of the battery. 5. What is the current through the 2-Ω resistor? a. 1.0 A b A c. 1.5 A d. 2.0 A e. 2.5 A 6. What is the current through the 8-Ω resistor? a. 1.0 A b A c. 1.5 A d. 2.0 A e. 2.5 A 2

3 7. What is the potential difference between points a and b? a. 6 V b. 8 V c. 12 V d. 24 V e. 27 V 8. What is the current flowing through the 2-Ω resistor? a. 2 A b. 3 A c. 4 A d. 6 A e. 7 A 3

4 9. What is the current flowing through the 4-Ω resistor? a. 1 A b. 2 A c. 3 A d. 6 A e. 9 A 10. In the circuit segment shown if I = 7 ma and Q = 50 µc, what is the potential difference, V A V B? a. 40 V b. +40 V c. +20 V d. 20 V e. 15 V 11. If I = 2.0 ma and the potential difference, VA - VB = +30 V in the circuit segment shown, determine the charge and polarity of the capacitor. a. 1.5 mc, left plate is positive b. 1.5 mc, right plate is positive c mc, left plate is positive d mc, right plate is positive e. 1.0 mc, left plate is positive 4

5 12. 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. At the instant the switch is closed, what are the current and capacitor voltage readings, respectively? a. zero A, 10 V b. zero A, zero V c. 5 A, zero V d. 5 A, 10 V e. 20 A, 10 V 13. A circuit contains a 6.0-V battery, a 4.0-Ω 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 b A c. 1.5 A d. 10 A e. 24 A 14. A circuit contains a 6.0-V battery, a 4.0-Ω 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 b µc c. 3.6 µc d. 2.4 µc e. 1.2 µc 5

6 15. A V battery, a Ω 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 b A c A d A e. 1.0 A 16. At what rate is thermal energy being generated in the 2R-resistor when ε = 12 V and R = 3.0 Ω? a. 12 W b. 24 W c. 6.0 W d. 3.0 W e. 1.5 W 17. What is the magnitude of the potential difference across the 20-Ω resistor? a. 3.2 V b. 7.8 V c. 11 V d. 5.0 V e. 8.6 V 6

7 18. Determine the current in the 10-V emf. a. 2.3 A b. 2.7 A c. 1.3 A d A e. 2.5 A 19. What is the magnitude of the current in the 20-Ω resistor? a A b A c A d A e A 7

8 20. What is the potential difference V b V a shown in the circuit below. a. 8.0 V b V c. 18 V d. +18 V e. 12 V 21. What is the potential difference V B V A when the I = 1.5 A in the circuit segment below? a. +22 V b. 22 V c. 38 V d. +38 V e V 22. What is the potential difference V B V A when I = 0.50 A in the circuit segment shown below? a. +28 V b V c. 28 V d. 2.0 V e. +18 V 8

9 23. If R = 2.0 kω, C = 4.0 mf, ε = 8.0 V, Q = 20 mc, and I = 3.0 ma, what is the potential difference V b V a? a V b. +19 V c V d. 3.0 V e. 14 V 24. If R = 3.0 kω, C = 5.0 mf, ε = 6.0 V, Q = 15 mc, and I = 4.0 ma, what is the potential difference V b V a? a. 3.0 V b V c. 15 V d. +21 V e. 6.0 V 25. If R = 4.0 kω, C = 3.0 mf, ε = 15 V, Q = 12 mc, and I = 2.0 ma, what is the potential difference V b V a? a V b. 19 V c. 3.0 V d. +27 V e. +21 V 9

10 26. If R = 3.0 kω, C = 6.0 nf, ε 1 = 10.0 V, Q = 18 nc, ε 2 = 6.0 V, and I = 5.0 ma, what is the potential difference V b V a? a. 13 V b. +28 V c. +13 V d. 28 V e V 27. If the current in the 4.0-Ω resistor is 1.4 A, what is the magnitude of the potential difference, V A V B? a. 69 V b. 55 V c. 62 V d. 48 V e. 31 V 28. If I = 0.40 A in the circuit segment shown below, what is the potential difference V a V b? a. 31 V b. 28 V c. 25 V d. 34 V e. 10 V 10

11 29. At t = 0 the switch S is closed with the capacitor uncharged. If C = 30 µf, ε = 50 V, and R = 10 kω, what is the potential difference across the capacitor when I = 2.0 ma? a. 20 V b. 15 V c. 25 V d. 30 V e. 45 V 30. What is the equivalent resistance between points a and b when R = 13 Ω? a. 29 Ω b. 23 Ω c. 26 Ω d. 20 Ω e. 4.6 Ω 11

12 31. What is the equivalent resistance between points a and b when R = 30 Ω? a. 27 Ω b. 21 Ω c. 24 Ω d. 18 Ω e. 7.5 Ω 32. What is the equivalent resistance between points a and b when R = 12 Ω? a. 20 Ω b. 16 Ω c. 24 Ω d. 28 Ω e. 6.0 Ω 12

13 Circuits Practice Websheet 18.1 Answer Section MULTIPLE CHOICE 1. ANS: D PTS: 1 DIF: 2 TOP: 18.1 Sources of emf 18.2 Resistors in Series 18.3 Resistors in Parallel 2. ANS: A PTS: 1 DIF: 3 TOP: 18.1 Sources of emf 18.2 Resistors in Series 18.3 Resistors in Parallel 3. ANS: A PTS: 1 DIF: 1 TOP: 18.1 Sources of emf 18.2 Resistors in Series 18.3 Resistors in Parallel 4. ANS: A PTS: 1 DIF: 2 TOP: 18.1 Sources of emf 18.2 Resistors in Series 18.3 Resistors in Parallel 5. ANS: A PTS: 1 DIF: 3 TOP: 18.4 Kirchhoff's Rules and Complex DC Circuits 6. ANS: C PTS: 1 DIF: 3 TOP: 18.4 Kirchhoff's Rules and Complex DC Circuits 7. ANS: C PTS: 1 DIF: 3 TOP: 18.4 Kirchhoff's Rules and Complex DC Circuits 8. ANS: C PTS: 1 DIF: 2 TOP: 18.4 Kirchhoff's Rules and Complex DC Circuits 9. ANS: A PTS: 1 DIF: 2 TOP: 18.4 Kirchhoff's Rules and Complex DC Circuits 10. ANS: D PTS: 1 DIF: 3 TOP: 18.4 Kirchhoff's Rules and Complex DC Circuits 11. ANS: A PTS: 1 DIF: 3 TOP: 18.4 Kirchhoff's Rules and Complex DC Circuits 12. ANS: C PTS: 1 DIF: 2 TOP: 18.5 RC Circuits 13. ANS: C PTS: 1 DIF: 2 TOP: 18.5 RC Circuits 14. ANS: C PTS: 1 DIF: 2 TOP: 18.5 RC Circuits 15. ANS: B PTS: 1 DIF: 2 TOP: 18.5 RC Circuits 16. ANS: C PTS: 2 DIF: Average 17. ANS: B PTS: 2 DIF: Average 18. ANS: A PTS: 3 DIF: Challenging 19. ANS: D PTS: 3 DIF: Challenging 20. ANS: A PTS: 3 DIF: Challenging 21. ANS: B PTS: 2 DIF: Average 22. ANS: A PTS: 2 DIF: Average 23. ANS: C PTS: 2 DIF: Average 24. ANS: A PTS: 2 DIF: Average 25. ANS: C PTS: 2 DIF: Average 26. ANS: D PTS: 2 DIF: Average 27. ANS: D PTS: 3 DIF: Challenging 28. ANS: C PTS: 2 DIF: Average 29. ANS: D PTS: 2 DIF: Average 30. ANS: D PTS: 2 DIF: Average 1

14 31. ANS: D PTS: 2 DIF: Average 32. ANS: B PTS: 2 DIF: Average 2

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