University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 31 - Alternating Current - Problems - Exercises - Page 1044: 31.6


a. $\omega = \frac{1}{\sqrt{ LC}} $. b. 7560 rad/s, $37.8 \Omega$.

Work Step by Step

a. Equate the reactance of the capacitor to that of the inductor and solve for the angular frequency. $$\frac{1}{\omega C}=\omega L$$ $$\omega = \frac{1}{\sqrt{ LC}} $$ b. Use the numbers given in the problem. $$\omega = \frac{1}{\sqrt{ (5.00\times10^{-3}H)( 3.50\times10^{-6}F)}}=7560 rad/s $$ $$\frac{1}{\omega C}=\omega L=37.8 \Omega $$
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