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5-8 Example of a voltage divider network.
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What is the current drawn by the resistances in the previous problem Simply use Ohm s Law to get I E/R 9.0/1000 9.0 mA.
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Suppose that it is permissible to draw up to 100 MA of current in the problem shown by Fig. 5-8. You, the engineer, want to design the circuit to draw this maximum current, because that will offer the best voltage regulation for the circuit to be operated from the network. What values of resistances R1 and R2 should you use Calculate the total resistance first, using Ohm s Law: R E/I 9.0/0.1 90 . The ratio desired is R1:R2 2.5/9. 0 0.28. Then you would use R1 0.28 X 90 25 . The value of R2 is the remainder: R2 90 25 65 .
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Refer to the text in this chapter if necessary. A good score is at least 18 correct answers. The answers are in the back of the book. 1. In a series-connected string of holiday ornament bulbs, if one bulb gets shorted out, which of these is most likely A. All the other bulbs will go out. B. The current in the string will go up. C. The current in the string will go down. D. The current in the string will stay the same. 2. Four resistors are connected in series across a 6.0-V battery. The values are R1 10 , R2 20 , R3 50 , and R4 100 as shown in Fig. 5-9. The voltage across R2 is: A. B. C. D. 0.18 V. 33 mV. 5.6 mV. 670 mV.
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5-9 Illustration for quiz questions 2, 3, 8, and 9.
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3. In question 2 (Fig. 5-9), the voltage across the combination of R3 and R4 is: A. 0.22 V. B. 0.22 mV. C. 5.0 V. D. 3.3 V. 4. Three resistors are connected in parallel across a battery that delivers 15 V. The values are R1 470 , R2 2.2 K , R3 3.3 K (Fig. 5-10). The voltage across R2 is: A. 4.4 V.
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96 Direct-current circuit analysis B 5.0 V. C. 15 V. D. Not determinable from the data given.
5-10 Illustration for quiz questions 4, 5, 6, 7, 10, and 11.
5. In the example of question 4 (Fig. 5-10), what is the current through R2 A. 6.8 mA. B. 43 mA. C. 150 mA. D. 6.8 A. 6. In the example of question 4 (Fig. 5-10), what is the total current drawn from the source A. 6.8 mA. B. 43 mA. C. 150 mA. D. 6.8 A. 7. In the example of question 4 (Fig. 5-10), suppose that resistor R2 opens up. The current through the other two resistors will: A. Increase. B. Decrease. C. Drop to zero. D. No change. 8. Four resistors are connected in series with a 6.0-V supply, with values shown in Fig. 5-9 (the same as question 2). What is the power dissipated by the whole combination A. 200 mW. B. 6.5 mW. C. 200 W. D. 6.5 W. 9. In Fig. 5-9, what is the power dissipated by R4
Quiz 97 A. 11 mW. B. 0.11 W. C. 0.2 W. D. 6.5 mW. 10. Three resistors are in parallel in the same configuration and with the same values as in problem 4 (Fig. 5-10). What is the power dissipated by the whole set A. 5.4 W. B. 5.4 uW. C. 650 W. D. 650 mW. 11. In Fig. 5-10, the power dissipated by R1 is: A. 32 mW. B. 480 mW. C. 2.1 W. D. 31 W. 12. Fill in the blank in the following sentence. In either series or a parallel circuit, s in each component is equal to the total provided by the the sum of the supply. A. Current. B. Voltage. C. Wattage. D. Resistance. 13. Refer to Fig. 5-5A. Suppose the resistors each have values of 33 . The battery provides 24 V. The current I1 is: A. 1.1 A. B. 730 mA. C. 360 mA. D. Not determinable from the information given. 14. Refer to Fig. 5-5B. Let each resistor have a value of 820 . Suppose the top three resistors all lead to light bulbs of the exact same wattage. If I1 50 mA and I2 70 mA, what is the power dissipated in the resistor carrying current I4 A. 33 W. B. 40 mW. C. 1.3 W. D. It can t be found using the information given. 15. Refer to Fig. 5-6. Suppose the resistances R1, R2, R3, and R4 are in the ratio 1:2:4:8 from left to right, and the battery supplies 30 V. Then the voltage E2 is:
98 Direct-current circuit analysis A. 4 V. B. 8 V. C. 16 V. D. Not determinable from the data given. 16. Refer to Fig. 5-6. Let the resistances each be 3.3 K and the battery 12 V. If the plus terminal of a dc voltmeter is placed between R1 and R2 (with voltages E1 and E2), and the minus terminal of the voltmeter is placed between R3 and R4 (with voltages E3 and E4), what will the meter register A. 0 V. B. 3 V. C. 6 V. D. 12 V. 17. In a voltage divider network, the total resistance: A. Should be large to minimize current drain. B. Should be as small as the power supply will allow. C. Is not important. D. Should be such that the current is kept to 100 mA. 18. The maximum voltage output from a voltage divider: A. Is a fraction of the power supply voltage. B. Depends on the total resistance. C. Is equal to the supply voltage. D. Depends on the ratio of resistances. 19. Refer to Fig. 5-7. The battery E is 18.0 V. Suppose there are four resistors in the network: R1 100 , R2 22.0 , R3 33.0 , R4 47.0 . The voltage E3 at P3 is: A. 4.19 V. B. 13.8 V. C. 1.61 V. D. 2.94 V. 20. Refer to Fig. 5-7. The battery is 12 V; you want intermediate voltages of 3.0,6.0 and 9.0 V. Suppose that a maximum of 200 mA is allowed through the network. What values should the resistors, R1, R2, R3, and R4 have, respectively A. 15 , 30 , 45 , 60 . B. 60 , 45 , 30 , 15 . C. 15 , 15 , 15 , 15 . D. There isn t enough information to design the circuit. A good score is at least 18 correct answers. The answers are in the back of the book.
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