Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 27 - Circuits - Problems - Page 796: 21

Answer

$I=5.56 A$

Work Step by Step

As given that the resistors are connected in parallel so Equivalent Resistance $R_{eq}$ can be calculated as $\frac{1}{R_{eq}}=\frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_3}+\frac{1}{R_4}$ $\frac{1}{R_{eq}}=\frac{1}{18}+\frac{1}{18}+\frac{1}{18}+\frac{1}{18}$ $\frac{1}{R_{eq}}=\frac{4}{18}$ Thus $R_{eq}=\frac{18}{4}=4.5 {\Omega}$ We know that $V=IR$ or $V=IR_{eq}$ $I=\frac{V}{R_{eq}}$ We plug in the known values to obtain: $I=\frac{25}{4.5}$ $I=5.56 A$
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