Problem 1 Consider the op-amp circuit shown below 100F yin a) Choose the resistors R1 and R2 and R3 such that the circuit's input-output behavior follows the desired differential equation dy - 3y = −4+2x b) Determine the circuit's zero-state response to the input x(t)=2u(t-1).

Cascaded Op Amp System Assume ideal operational amplifiers therefore you can use summing point constraints. Write time-domain equations for v3(t), v4(t), and v5(t) in terms of the circuit elements. Observe, no calculations are required. v1(t) = R3 C1 v3(t) v1(t) v2(t) = R1 R4 v4(t) v2(t) v3(t) = R2 v4(t) v5(t) v5(t) =

4. Obtain an expression for the output voltage, v0 in terms of the input voltages, v1 and v2 and the four resistors, R1, R2, R3, and R4. Use the ideal op amp approximation. R3 R₁ Vn in=0 = = 16 V CC V1 0- Vp p=0 -OV V2 + R₂ R4

The input to the circuit below is a symmetric square wave that goes between +£1 V and has a period 1 ms. Make an accurate graph of the output voltage; be sure to label the axes. The op-amp is ideal, and the capacitor on the output is large. The output capacitor blocks any d.c. component. 0.1 uF 10 k vin o vout