Electrical Engineering: Principles & Applications (6th Edition)

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

Chapter 1 - 1.7 - Problems - Introduction to Circuits - Page 40: P1.62


a) Not self-contradictory b) Self-contradictory c) Not self-contradictory d) Self-contradictory e) Self-contradictory

Work Step by Step

a) We see in this circuit that all sources of current have a corresponding decline in voltage, making the circuit $\fbox{not self-contradictory.}$ b) This circuit is $\fbox{self-contradictory}$, for multiple current sources are in series with each other. c) Even though there is a short circuit, the current change across it is still 0. Thus, despite being a short circuit, it is $\fbox{not self-contradictory.}$ d) The current in series branches of a circuit must always be equal, but this is not the case with an open circuit. Thus, it is $\fbox{self-contradictory.}$ e) Unlike the last short circuit, there is a parallel branch in this short circuit. The voltage in a short circuit is 0 volts, but this is not possible for the other branch because it has a circuit element. However, we know that parallel branches are supposed to have equal currents. Thus, if follows that this circuit is $\fbox{self-contradictory.}$
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