Refer to the \(R L C\) series circuit shown in Figure P8-4.9.

(a) What is the maximum output voltage \(v_{\mathrm{O}}(t)\) and at what frequency does it occur? Use Multisim and do an ac sweep from \(10 \mathrm{~Hz}\) to \(1 \mathrm{MHz}\), and then narrow your sweep until you find the frequency at which the peak occurs and the output voltage at that frequency.

(b) Bandwidth is defined as \(\mathrm{BW}=f_{\mathrm{H}}-f_{\mathrm{L}}\), where \(f_{\mathrm{H}}\) is the higher frequency at which the magnitude of the output is exactly 0.707 of the maximum value, and \(f_{\mathrm{L}}\) is the lower frequency at which the magnitude of the output is exactly 0.707 of the maximum value. What is the bandwidth of this circuit?

(c) What is the minimum output voltage \(v_{\mathrm{X}}(t)\) and at what frequency does it occur? Use Multisim and do an ac sweep from \(10 \mathrm{~Hz}\) to \(1 \mathrm{MHz}\), and then narrow your sweep until you find the frequency at which the minimum occurs and the output voltage at that frequency.