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Name:______________________________Class:__________________ Date:__________________ Assessment Circuits and Circuit Elements Teacher Notes and Answers 18 Circuits and Circuit Elements COMPLEX RESISTOR COMBINATIONS 1. 2. 3. 4. 5. 6. 7. 8. 9. b c c b c b a d Student answers may vary. However, all answers should include reducing the circuit to smaller groups of series or parallel combinations, calculating the equivalent resistance of the groups, and finally the resistance of the entire circuit. There is no rule as to where to start or the order of the steps to take. 10. 4.5 V Given Ra = 5.6 Rb = 8.2 Rc = 3.3 Rd = 7.5 Re = 4.7 Ic = 0.44 A Solution Find the equivalent resistance of Ra and Rb. 1 1 1 0.18 0.12 = + = + = Rx 5.6 8.2 1 1 1 0.30 ; Rx = = 3.3 0.30 Find the equivalent resistance of Rc and Rd. 1 1 0.30 1 = + = + 3.3 7.5 1 Ry 1 0.13 0.43 = ; Ry = = 2.3 1 0.43 1 Find the equivalent resistance of the circuit. Req = Rx +Ry + Re = 3.3 + 2.3 + 4.7 = 10.3 Use Ohm’s law to find the battery voltage. V = Ic Req = 0.44 A 10.3 = 4.5 V Original content Copyright © by Holt, Rinehart and Winston. Additions and changes to the original content are the responsibility of the instructor. Holt Physics 1 Section Quizzes Name:______________________________Class:__________________ Date:__________________ Assessment Circuits and Circuit Elements Section Quiz: Complex Resistor Combinations Write the letter of the correct answer in the space provided. _____ 1. You want to determine the current in a complex circuit. Which piece of information will be least helpful in making your determination? a. the equivalent resistance of the circuit b. the number of devices in the circuit c. the current in each element in the circuit d. the voltage across each element in the circuit _____ 2. You have three 100 resistors available. How would you connect these three resistors to produce a 150 equivalent resistance? You must use all of the resistors. a. Connect all three resistors in parallel. b. Connect all three resistors in series. c. Connect one resistor in series with two resistors in parallel. d. Connect two resistors in series with the third resistor in parallel to the first two. _____ 3. A circuit is constructed as follows: four resistors in parallel connected in series with three resistors in parallel connected in series with two resistors in parallel. All of the resistors have the same value. How does the equivalent resistance of this circuit compare to the resistance of a single resistor? a. The equivalent resistance is less than a single resistor. b. The equivalent resistance is the same as a single resistor. c. The equivalent resistance is greater than a single resistor. d. The equivalent resistance cannot be determined without the resistance value of a single resistor. _____ 4. Because household devices are connected in parallel in a circuit, ___________ as new devices are connected. a. the current does not increase b. the potential difference remains the same c. the resistance of the circuit increases d. the power dissipated in the circuit decreases Original content Copyright © by Holt, Rinehart and Winston. Additions and changes to the original content are the responsibility of the instructor. Holt Physics 2 Section Quizzes Name:______________________________Class:__________________ Date:__________________ Circuits and Circuit Elements continued _____ 5. In any complex resistance circuit, the current through any resistor in the circuit is always a. less than the total current through the circuit. b. equal to the total circuit current. c. less than or equal to the total circuit current. d. less than or greater than the total circuit current. _____ 6. In the circuit shown above, which resistors, if any, have equal voltages across them? c. Ra, Rb, and Rc a. Re and Rf b. Ra and Rd d. Rb, Re, and Rf _____ 7. A circuit breaker is designed to limit the amount of __________ in a circuit. a. current c. resistance b. voltage d. potential difference _____ 8. Which of the following devices is always connected in series with a household circuit? a. air conditioner c. lamp b. electric range d. fuse 9. Briefly describe how to find the equivalent resistance of a complex circuit. _________________________________________________________________ _________________________________________________________________ _________________________________________________________________ 10. Five resistors are wired as shown in the figure above. If the current in the 4.7 resistor is 0.44 A, what is the terminal voltage of the battery? Original content Copyright © by Holt, Rinehart and Winston. Additions and changes to the original content are the responsibility of the instructor. Holt Physics 3 Section Quizzes