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 759: 88

Answer

(a) decrease (b) I

Work Step by Step

(a) We know that the resistivity of the tungsten filament increases with increasing temperature and as a result its resistance is also increased while the voltage remains constant. Since $P=\frac{V^2}{R}$, this shows that power consumed and resistance are inversely proportional. Hence, at constant voltage the power consumed is decreased because the resistance increases. (b) The best explanation is (I) -- that is, the voltage is unchanged, and therefore an increase in resistance implies a reduced power, as we can see from $P=\frac{V^2}{R}$
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