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: 25

Answer

$Reactance=127.28Ω\approx127Ω$

Work Step by Step

The reactance of the circuit can be calculated as one of the sides of the right triangle by using the Pythagorean Theorem. $Impedance^{2}=Resistance^{2}+Reactance^{2}$ $Reactance=\sqrt {Impedance^{2}-Resistance^{2}}$ $Reactance=\sqrt {(165Ω)^{2}-(105Ω)^{2}}=127.28Ω\approx127Ω$
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