Physics

Problem

Two series LCR circuits X and Y use identical inductance

L = 0.10\,\text{H}

and capacitance but have different resistances. Their bandwidths are

\Delta \omega_X = 200\,\text{rad\,s}^{-1}

and

\Delta \omega_Y = 50\,\text{rad\,s}^{-1}

, respectively. (i) Find the ratio

R_X / R_Y

of their resistances. (ii) Which circuit has the higher quality factor? a. (i) Find the ratio

R_X / R_Y