Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 18 - Electric Currents - Problems - Page 522: 36

Answer

In the United States the bulb consumes 1/4 the power that it does in Europe, and thus appears 1/4 as bright.

Work Step by Step

Use equation 18–6b to calculate the power. $$P=\frac{V^2}{R}$$ The power is proportional to the square of the voltage. The resistance is the same. If the voltage is multiplied by one-half (changing from 240 V to 120 V), the power consumed is multiplied by one-fourth. In the United States the bulb consumes 1/4 the power that it does in Europe, and thus appears 1/4 as bright as a 75-W bulb that is properly designed for 120 V.
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