Pearson Education Limited Edinburgh Gate Harlow Essex CM20 2JE England and Associated Companies throughout the world

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2 Pearson Education Limited Edinburgh Gate Harlow Essex M20 2JE England and ssociated ompanies throughout the world Visit us on the World Wide Web at: Pearson Education Limited 2014 ll rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, without either the prior written permission of the publisher or a licence permitting restricted copying in the United Kingdom issued by the opyright Licensing gency Ltd, Saffron House, 6 10 Kirby Street, London E1N 8TS. ll trademarks used herein are the property of their respective owners. The use of any trademark in this text does not vest in the author or publisher any trademark ownership rights in such trademarks, nor does the use of such trademarks imply any affiliation with or endorsement of this book by such owners. ISN 10: ISN 13: ritish Library ataloguing-in-publication ata catalogue record for this book is available from the ritish Library Printed in the United States of merica

3 (b) in parallel with the series combination of and (c) in parallel with a branch containing in series with a parallel combination of four other resistors 2. Visualize and draw the following series-parallel circuits: (a) parallel combination of three branches, each containing two series resistors (b) series combination of three parallel circuits, each containing two resistors 3. In each circuit of Figure 61, identify the series and parallel relationships of the resistors viewed from the source. 6.2 k V 3 V V k (a) (b) FIGURE 61 (c) 4. For each circuit in Figure 62, identify the series and parallel relationships of the resistors viewed from the source. 1 V 2.2 k 1.0 M 3.3 M 2 V 5 V 6.2 M R k R M 4.7 k (a) (b) (c) FIGURE k 6.8 k 289

4 5. raw the schematic of the P board layout in Figure 63 showing resistor values and identify the series-parallel relationships. FIGURE R 7 R 8 R 9 *6. evelop a schematic for the double-sided P board in Figure 64 and label the resistor values. *7. Lay out a P board for the circuit in Figure 62(c). The battery is to be connected external to the board. 3 R 7 R 8 R Side 1 Side 2 FIGURE 64 SETION 2 nalysis of Series-Parallel Resistive ircuits 8. certain circuit is composed of two parallel resistors. The total resistance is 667 Æ. One of the resistors is 1.0 kæ. What is the other resistor? 9. For each circuit in Figure 61, determine the total resistance presented to the source. 10. Repeat Problem 9 for each circuit in Figure etermine the current through each resistor in each circuit in Figure 61; then calculate each voltage drop. 12. etermine the current through each resistor in each circuit in Figure 62; then calculate each voltage drop. 13. Find R T for all combinations of the switches in Figure

5 FIGURE 65 SW1 (NP) k SW2 (NOP) 14. etermine the resistance between and in Figure 66 with the source removed. 15. etermine the voltage at each node with respect to ground in Figure 66. FIGURE k 5.6 k 100 V 1.8 k 16. etermine the voltage at each node with respect to ground in Figure In Figure 67, how would you determine the voltage across by measuring without connecting a meter directly across the resistor? 18. etermine the resistance of the circuit in Figure 66 as seen from the voltage source. 19. etermine the resistance of the circuit in Figure 67 as seen from the voltage source. FIGURE M 560 k 100 k 1.0 M 56 k 50 V 100 k 20. etermine the voltage, V, in Figure 68. FIGURE 68 V S 100 V R 8 R k

6 *21. (a) Find the value of in Figure 69. (b) etermine the power in. FIGURE k V S 220 V 1 m 33 k *22. Find the resistance between node and each of the other nodes (R, R, R, R E, R F, and R G ) in Figure k 2.2 k E R 8 R k 4.7 k G F FIGURE 70 *23. Find the resistance between each of the following sets of nodes in Figure 71:,, and. FIGURE 71 = = *24. etermine the value of each resistor in Figure

7 FIGURE 72 P = 20 W P = 2 W V 20 V 5 V 1 V 1 R 7 R 8 SETION 3 Voltage ividers with Resistive Loads 25. voltage divider consists of two 56 kæ resistors and a 15 V source. alculate the unloaded output voltage. What will the output voltage be if a load resistor of 1.0 MÆ is connected to the output? V battery output is divided down to obtain two output voltages. Three 3.3 kæ resistors are used to provide the two taps. etermine the output voltages. If a 10 kæ load is connected to the higher of the two outputs, what will its loaded value be? 27. Which will cause a smaller decrease in output voltage for a given voltage divider, a 10 kæ load or a 47 kæ load? 28. In Figure 73, determine the output voltage with no load across the output terminals. With a 100 kæ load connected from to, what is the output voltage? 29. In Figure 73, determine the output voltage with a 33 kæ load connected between and. 30. In Figure 73, determine the continuous current drawn from the source with no load across the output terminals. With a 33 kæ load, what is the current drain? FIGURE V 5.6 k V OUT 2.7 k *31. etermine the resistance values for a voltage divider that must meet the following specifications: The current drawn from the source under unloaded condition is not to exceed 5 m. The source voltage is to be 10 V, and the required outputs are to be 5 V and 2.5 V. Sketch the circuit. etermine the effect on the output voltages if a 1.0 kæ load is connected to each tap one at a time. 32. The voltage divider in Figure 74 has a switched load. etermine the voltage at each tap (V 1, V 2, and V 3 ) for each position of the switch. FIGURE V V2 V 1 V 3 R L 68 k 293