Physics

Problem

A resonance curve for a series LCR circuit has been plotted with a logarithmic scale for angular frequency. The peak occurs at

\log_{10}\omega = 3.30

(with

\omega

in rad s

^{-1}

). The half-power points lie at

\log_{10}\omega = 3.25

and

\log_{10}\omega = 3.35

. Calculate the quality factor of the circuit.