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 939: 69b

Answer

$I = 2.76~A$

Work Step by Step

We can find the current amplitude: $I = \frac{\mathscr{E}}{\sqrt{R^2+~(X_L-X_C)^2}}$ $I = \frac{\mathscr{E}}{\sqrt{R^2+~(\omega_d~L-1/\omega_d~C)^2}}$ $I = \frac{\mathscr{E}}{\sqrt{R^2+~(2\pi~f~L-1/2\pi~f~C)^2}}$ $I = \frac{120~V}{\sqrt{(40.0~\Omega)^2+[(2\pi)~(3000~Hz)~(850\times 10^{-6}~H)-1/(2\pi)~(3000~Hz)~(1.60\times 10^{-6}~F)]^2}}$ $I = 2.76~A$
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