Physics: Principles with Applications (7th Edition)

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

Chapter 19 - DC Circuits - Problems - Page 552: 12

Answer

(a) The voltage across each bulb is 15 V (b) The resistance of each bulb is $33.3~\Omega$ The power dissipated in each bulb is 6.75 W

Work Step by Step

(a) Since the bulbs are identical and in series, the voltage across each bulb will be the same. Let $V_0$ be the voltage across each bulb. $8~V_0= 120~V$ $V_0 = 15~V$ The voltage across each bulb is 15 V. (b) We can find the resistance $R_0$ of each bulb. $V_0 = I~R_0$ $R_0 = \frac{V_0}{I}$ $R_0 = \frac{15~V}{0.45~A}$ $R_0 = 33.3~\Omega$ The resistance of each bulb is $33.3~\Omega$. We can find the power dissipated in each bulb. $P = I~V$ $P = (0.45~A)(15~V)$ $P = 6.75~W$ The power dissipated in each bulb is 6.75 W.
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