Consider the active circuit with the schematic: a. Assuming it's an ideal op amp, derive the circuit’s transfer function as a function of frequency, H(jw). Make sure it in canonical form. b. We want a DC gain of 40dB. If the op amp has value of Rin = 10MΩ and Rout = 50Ω, choose appropriate values for R1 and R2. Explain why your selected values of R1 and R2 allow you to ignore Rin and Rout for the remainder of the problem. c. If L = 1H, sketch the straight-line approximation of the Bode plot for the circuit’s gain assuming the op amp can still be considered as ideal. d. The op amp you select turns out to be non-ideal, and it has a real pole at wC = 1krad/s. Write the updated transfer function for your circuit (using your values of R1, R2, and L = 1H). Make it in the canonical form.
Consider the active circuit with the schematic:
a. Assuming it's an ideal op amp, derive the circuit’s transfer function as a function of frequency, H(jw). Make sure it in canonical form.
b. We want a DC gain of 40dB. If the op amp has value of Rin = 10MΩ and Rout = 50Ω, choose appropriate values for R1 and R2. Explain why your selected values of R1 and R2 allow you to ignore Rin and Rout for the remainder of the problem.
c. If L = 1H, sketch the straight-line approximation of the Bode plot for the circuit’s gain assuming the op amp can still be considered as ideal.
d. The op amp you select turns out to be non-ideal, and it has a real pole at wC = 1krad/s. Write the updated transfer function for your circuit (using your values of R1, R2, and L = 1H). Make it in the canonical form.
e. Sketch the straight-line approximation of the Bode plot for the circuit with your updated transfer function from D.
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