LCR circuit — UPSC Physics Optional CSE 2002 Paper I

A series LCR circuit with \mathrm{L} = 2\text{ H}, \mathrm{C} = 2\text{ }\mu\text{F} and \mathrm{R} = 20\\ \Omega is powered by a source of 100\text{ volts} and variable frequency. Find

(i) the resonance frequency, f_0,

(ii) the value of Q

(iii) the width of resonance \Delta f and

(iv) the maximum current at resonance.