Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 24 - Alternating-Current Circuits - Problems and Conceptual Exercises - Page 867: 9

Answer

$86.9Hz$

Work Step by Step

We know that $C=\frac{1}{\omega X_c}$ $\implies C=\frac{1}{[2\pi(57)](105)}=25.26\mu F$ Now we can find the required frequency as $f^{\prime}=\frac{1}{2\pi CX_c^{\prime}}$ We plug in the known values to obtain: $f^{\prime}=\frac{1}{2\pi(25.26)(72.5)}=86.9Hz$
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