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: 5

Answer

Please see the work below.

Work Step by Step

We know that in an LCR circuit, the voltage and current are always at a phase difference of $\phi=+\frac{\pi}{2}$ or $-\frac{\pi}{2}$. At resonance, we have $X_L=X_C$. As the given frequency is lower than the frequency at resonance, therefore $X_L=(\omega L)\lt X_c=(\frac{1}{\omega C})$. We conclude that the capacitor dominates and hence the voltage lags behind the current and the phase angle is $-\frac{\pi}{2}$ or $-90^{\circ}$.
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