Physics

Problem

In a laboratory experiment a student assembles a series

LCR

circuit with

L=50\,\text{mH}

C=2.0\,\mu\text{F}

and a resistor of

20\,\Omega

. The circuit is connected to an AC source whose frequency can be varied smoothly. a. (i) Calculate the resonant frequency

f_0

in hertz. b. (ii) Determine the quality factor

Q

of the circuit. c. (iii) Hence find the bandwidth

\Delta f

(in hertz) between the half-power frequencies.