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: 90

Answer

(a) Less than 1000W (b) II

Work Step by Step

(a) We know that $P=\frac{V^2}{R}$. This equation shows that power consumed is inversely proportional to the resistance. Since the heaters are connected in series while the voltage remains constant, the resistance is doubled and as a result the power consumed is decreased to less than 1000W. (b) The best explanation is option (II) -- that is, the voltage is the same, but the resistance is doubled by connecting the heaters in series. Therefore, the power consumed $(P=\frac{V^2}{R})$ is less than 1000W.
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