$.$ac dec $10011$ Meg

$.$ac dec $10011$Meg

Task $1(30$ pts$)$: Please perform a circuit analysis of the following BSF circuit that you just designed to include the following:

$(1)$ Show a detailed hand calculation of circuit analysis at low and high frequencies. Recall that at low frequencies, capacitors behave like opens; at high frequencies, capacitors behave like shorts.

$(2)$ Your hand calculation needs to show that at low frequencies, the BSF gain is about $-8\mathrm{.}3$ dB ; at high frequencies, the BSF gain is about $0$ dB $.$ Draw the $2$ circuit diagrams and analyze them.

$(3)$ Suggest a design modification that will let your modified BSF circuit produce a true band$-$stop Bode plot, with both the low and high frequency gains at $0$ dB $,$ as shown in the Bode plot below. You may modify the BSF circuit by adding or removing elements, and$/$or changing element values. Use as few circuit

Task $2(20$ pts$)$: Using the knowledge and insights you have gained above, design a BSF circuit with the two corner frequencies specifically assigned to you. The two pass bands must have $0$dB gains.

Left corner frequency

Right corner frequency

$57\mathrm{.}9$ kHz