Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 21 - Electric Current and Direct-Current Circuits - Problems and Conceptual Exercises - Page 757: 60

Answer

a) less than zero b) greater than zero c) $V_D=1.6V$

Work Step by Step

(a) We know that the current is driven in the clockwise direction in the circuit and there is a potential drop from point A to point B. Thus, if point A is grounded then the potential at point B is less than zero. (b) We know that there is a potential drop from point C to point A. Thus, if point A is grounded then the potential at point C is greater than zero. (c) We know that $I=\frac{V_1-V_2}{R_{8.50}+R_{6.22}+R_{15.1}}$ $I=\frac{15.0V-11.5V}{8.50\Omega+6.22\Omega+15.1\Omega}=0.1174A$ Now the potential at point D is given as $V_{D}=V_A+V_{15.0}-IR_{15.1}$ We plug in the known values to obtain: $V_{D}=0+15.0V-(0.1174A)(15.1\Omega)$ $V_{D}=1.6V$
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