1. Low-pass Filter RI a) Derive the transfer function for this circuit, 7(s)=(8) v,(s) b) Find the low frequency gain and 3 dB frequency f, given that: R1=1 k2, R2-10 k2, L-2.2 mH. R2 www 7. 2. Bandlimited Op-amp You have an op-amp with unity gain frequency - 10 MHz, and slew rate -5 V/s, and a DC gain of 500,000 (V/V). WWD a) Design a non-inverting amplifier with a gain G RI R2 6-10 -100 [V/V]. Use R2-100k b) What is the 3 dB frequency of your closed-loop amplifier? c) What is the Gain Bandwidth Product for your closed-loop amplifier? d) Sketch the Bode magnitude plot of the closed-loop amplifer. On the same axes, sketch the open-loop Bode magnitude plot of the op-amp. Identify on the plot the 3 dB frequency and unity-gain frequency of both the closed- loop amplifier and the op-amp. Use log() for the horizontal axis. e) What is the full-power bandwidth of the op-amp, with v.1-20 V, for "full power"? 3. DC Offsets Find the maximum DC output voltage V, for an inverting op-amp circuit with R1-1k2 and R2-100k2 if the datasheet specifies that 1 mV and 7-10 nA.