Question $5[20$ points$]-$ Simulate the RC circuit shown in Figure $5,$ the same as in Figure $2,$ using

Multisim. The circuit is driven by a sinuscidal voltsge source v$\_(4)($t$)=$V$\_(4)$cos$(\backslash$omega t$)$V where V$\_(4)=10$V and

$\backslash$omega $=2\backslash$pi $\backslash$times $10^(2)$ra$($d$)/($s$\_(.$ Let $))$V$\_(4)=(10)/(\_(0))\backslash$deg V be the input phasor voltage, C be the capacitor whose

capacitance is equal to $1\backslash$mu F$,$ and R be the resistor whose resistance is equal to $1$k$\backslash$Omega $.$ Let V$\_(\backslash$theta $)$ be the

output phasor voltage across the resistor R$.$

For esch of the following questions, sdd screenshets of the Grapher View in Muitisim.

B$.$ Perform transient analysis on the circuit to messure the charbeteristics of the source voltage

sid the vaitage acrass the resister R$.$ Go to Simulate $=>$ Anslyses and simulation $=>$ Transient

snd enter the following values while lesving oll other settingr unchanged:

Anslysis pormeters tob: Start time $=0$s$,$ Ind time $=0\mathrm{.}01$s

Output tab: Selected varisbies for analysis: V$(1),$ V$[2]$

Enter the messured volues in Toble $2.$ In the remaining parts, you will be performing the AC Sweep analysis. The AC Sweep analysis lets us measure the steady$-$state behavior of a circuit as a function of the frequency of the input voltage sinusoid$.$ Go to Simulate $\backslash (->\backslash )$ Analyses and Simulation $\backslash (->\backslash )$ AC Sweep and set the following values in the tabs leaving all ather settings unchanged:

Frequency parameters tab: Stert frequency $\backslash (=1\backslash$mathrm$\{$~Hz$\}\backslash ),$ Stop frequency $\backslash (=10\backslash$mathrm$\{$MHz$\}\backslash ),$ Sweep type $\backslash (=\backslash )$ Decsde, Number of points per decade $\backslash (=1000\backslash ),$ Vertical scale $\backslash (=\backslash )$ Linear

Output tab: Selected variables for analysis $\backslash (=$V$(1),$ W$[2]\backslash )$

Click the Run button and answer the following questions from the ac Sweep plot in Grapher Viewer using the cursors.

b$.$ What is the maximum amplitude of the voltage across the resistor and at what frequency velue$($s$)$ does it occur?

c$.$ What is the minimum amplitude of the voltage scross the resistor and at what frequency velue$($s$)$ does it occur?

d$.$ Glven the shape of the magnitude response, is this circuit s highpass, lowpass, oandpass, or ogng$-$rejest filter?

e$.$ Using cursors, mensure the cutoff frequency $\backslash (\backslash$omega$\_\{$e$\}\backslash )$ of this filer.

f$.$ The de response of the cirsuit corresponds to the case when $\backslash (\backslash$Delta$=0\backslash ).$ Measure the mognitude of the dc response from the AC Sweep plot.

$8.[$Design Froblem$]$ Design a highpass filter based on the circuit in Figure $2$ which will attenuate all signals less than $1$ kHz and pass all signals greater than $1$ kHz with very little attenuation. Suppose the value of $\backslash ($ C $\backslash )$ is fixed to $\backslash (1\backslash$mu F $\backslash ).$ What value of the resistor $\backslash ($ R $\backslash )$ will you pick such that the Iowpass filter cutoff frequency is $1$ kHz $.$ Recall the radian frequency $\backslash (\backslash$omega$(\backslash )$ rad$/$s$)$ is related to the cyclical frequency $\backslash ($ f$\backslash$left$(\backslash$mathrm$\{$~Hz$\}^\{2\}\backslash$right$)\backslash )$ by the expression, $\backslash (\backslash$boldsymbol$\{\backslash$omega$\}=\backslash$mathbf$\{2\backslash$pi$\}$ f $\backslash ).$

Build the above circuit using Multisim and test it to show that the circuit blocks the highfrequency component and allows the low$-$frequency component to pass through.