Problem $1(20$ points$).$

Using the simple active filters we covered in class $($Lecture $29).$ Design an inverting High Pass Active filter with the following characteristics:

a$)$ A band pass frequency, $f_B,$ of $5$ KHz

b$)$ A magnitude gain of $10$

For your design use a feedback resistance, $R_f,$ of $10k,$ and provide the following:

Draw your circuit with value of components $(4$ points$)$

Determine the value of your input resistance, $R_1.(3$ points$)$

Determine the value of your capacitor, $C_1.(8$ points$)$

Determine the transfer function of your filter $(5$ points$)$