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(Solved): Problem 3 (20 points) Consider the RC circuit shown below: (a) Derive the transfer function H(s)=V_( ...



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.

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