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 938: 43b

Answer

$\phi = 23.4^{\circ}$

Work Step by Step

We can find $\phi$: $tan~\phi = \frac{X_L}{R}$ $tan~\phi = \frac{\omega_d~L}{R}$ $tan~\phi = \frac{2\pi~f_d~L}{R}$ $tan~\phi = \frac{(2\pi)~(60.0~Hz)~(0.230~Hz)}{200~\Omega}$ $tan~\phi = 0.4335$ $\phi = tan^{-1}~(0.4335)$ $\phi = 23.4^{\circ}$
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