일반물리학 2 — Electromagnetic Oscillations and Alternating Current: Problem 47

47 The fractional half-width \(\Delta \omega_d / \omega\) of a resonance curve, such as the ones in Fig. 31-16, is the width of the curve at half the maximum value of \(I\). (a) Show that \(\Delta \omega_d / \omega = R(3C/L)^{1/2}\), where \(\omega\) is the angular frequency at resonance. (b) What happens to the ratio \(\Delta \omega_d / \omega\) with an increase in \(R\)?