Question $1$

$[25$ marks$]$

$($a$)$ An RLC series circuit has a resonant frequency of $100\mathrm{.}5$ kHz and a quality factor of

$4\mathrm{.}8.$ If the dynamic resistance of the circuit is $28\mathrm{.}29,$ determine the values of

$($i$)$ Inductance, $L$

$($ii$)$ Inductance, $C$

$($iii$)$ Voltage Magnification