Fundamentals of Physics Extended (10th Edition)

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

Chapter 31 - Electromagnetic Oscillations and Alternating Current - Problems - Page 937: 41a

Answer

$Z = 206~\Omega$

Work Step by Step

We can find $Z$: $Z = \sqrt{R^2+(X_L-X_C)^2}$ $Z = \sqrt{R^2+(\omega_d~L-\frac{1}{\omega_d~C})^2}$ $Z = \sqrt{R^2+(2\pi~f_d~L-\frac{1}{2\pi~f_d~C})^2}$ $Z = \sqrt{(200~\Omega)^2+[(2\pi)(60.0~Hz)(0.230~H)-\frac{1}{(2\pi)~(60.0~Hz)~(70.0\times 10^{-6}~F)}]^2}$ $Z = 206~\Omega$
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