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: 10

Answer

$I_{rms}=1.32A$

Work Step by Step

We know that $X_c=\frac{1}{\omega C}$ We plug in the known values to obtain: $X_c=\frac{1}{[2\pi (100)]105}=25.26\Omega$ Now we can find the rms current in the circuit as follows: $I_{rms}=\frac{V_rms}{X}$ We plug in the known values to obtain: $I_{rms}=\frac{20}{15.2}=1.32A$
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