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 - Conceptual Questions - Page 867: 7

Answer

Please see the work below.

Work Step by Step

We know that if we increase the frequency, the resistance of the resistor will not change. The capacitive reactance is given as $X_C=\frac{1}{2\pi fC}$. As the reactance of the capacitor is inversely proportional to the frequency of the ac generator, hence the reactance of the capacitor decreases when the frequency is increased. The inductive reactance is given as $X_L=2\pi fL$. This equation shows that the reactance of the inductor increases when the frequency of the circuit is increased.
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