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Problem 3 (20 points) Consider the RC circuit shown below: (a) Derive the transfer function
H(s)=V_(out )(s)/(V_(in ))(s). (b) Determine the magnitude frequency response
|H(j\omega )|. (c) Determine the phase frequency response
/_(H)(j\omega ). (d) Plot the magnitude frequency response
|H(j\omega )|and the phase frequency response
/_(H)(j\omega )over the interval
0<=\omega <=10ra(d)/(s), if
R_(1)=5\Omega ,R_(2)=20\Omega and
C=((1)/(20))F. You can use Matlab or any other tool to plot as long as you include your code.