Q$2(20$ points$)$ Imagine we are attempting to reverse engineer the following passive Butterworth filter circuit to better understand its function:

$120$

$9\mathrm{.}549$ mH

Ei

$331\mathrm{.}5$ nF

$331\mathrm{.}5$ nF

$120$ K

Eo

points: What is the order of the filter circuit? Will the circuit act as a low$-$pass or $1.$ high$-$pass filter? $2,$

$-$points: What is the cutoffrequency fe that the above circuit has been designed for? $3.5-$points: We now pass a voltage signal into the filter with two sinusoidal components: a primary component with an amplitude of $5$ V and a frequency of $1$ kH$2$ and a secondary one with an amplitude of $2$ V and a frequency of $8$ kHz$.$ How much attenuation willthe filter provide in decibels $($dB$)$ on the secondary higher$-$ frequency component? $4.6-$points: What will the output filtered amplitude of the higher$-$frequency component be in volts? If we need the secondary component amplitude to be less than $10\%$ that of the primary component will his filter accomplish that task?