$($b$)$ In Figure $1$ shown below, a coil of inductance $1\mathrm{.}15$ mH and resistance $5\mathrm{.}00$ is connected in parallel with a variable $($tuning$)$ capacitor across a $50\mathrm{.}0V,1kHz$ constant frequency power supply.

The capacitance is adjusted until the supply current is as a minimum. Under this condition, determined the following qualities:

$($i$)$ Capacitance, $C$

$($ii$)$ Supply current, $I_{rms}$

$($iii$)$ Q $-$factor

$($iv$)$ Bandwidth, $f_{BW}$

Figure $1.$ An RLC network with a tuning capacitor