Electrical Engineering: Principles & Applications (6th Edition)

Published by Prentice Hall
ISBN 10: 0133116646
ISBN 13: 978-0-13311-664-9

Chapter 1 - 1.5 - Problems - Kirchhoff's Voltage Laws - Page 39: P1.44

Answer

a) Elements A and C are connected in parallel. b) $V_a = -V_c$ c) $-8V$ d) $V_F -4V$

Work Step by Step

a) Recall, when elements are connected in parallel, electrons will never go through both but rather have the option of which element they go through. Using this, we find that elements $\fbox {A and C}$ are in parallel. b) We use Kirchhoff's Voltage Law: $V_a + V_c = 0 \\ V_a = -V_c$ c) Using the result from part b, we find: $V_c = -V_a = -8V$ Thus, it follows: $V_b = \fbox{-8V}$ d) We use Kirchhoff's Voltage Law and the result from above: $8-4 + V_F = 0 \\ V_F = \fbox{-4V}$
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