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.