Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 31 - Electromagnetic Oscillations and Alternating Current - Questions - Page 935: 12c

Answer

The angular frequency $\omega_d$ of the emf is less than the natural angular frequency $\omega$

Work Step by Step

The current reaches a maximum value slightly before the emf reaches a maximum value. Therefore, the current leads the emf. When the current leads the emf, then $X_C \gt X_L$ In this case, the circuit is said to be more capacitive than inductive. That is, the circuit's load is mainly capacitive. To reach a state of resonance in this case, we would need to increase $\omega_d$ in order to decrease $X_C$ and increase $X_L$ which would result in resonance when $\omega_d = \omega$ At present, the angular frequency $\omega_d$ of the emf is less than the natural angular frequency $\omega$
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