Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 12 - Section 12.3 - Triangles - Exercise - Page 400: 27

Answer

$Resistance=2.56Ω\approx2.6Ω$

Work Step by Step

The resistance of the circuit can be calculated as one of the sides of the right triangle by using the Pythagorean Theorem. $Impedance^{2}=Resistance^{2}+Reactance^{2}$ $Resistance=\sqrt {Impedance^{2}-Reactance^{2}}$ $Resistance=\sqrt {(4.5Ω)^{2}-(3.7Ω)^{2}}=2.56Ω\approx2.6Ω$
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