For the circuit shown below, assume ideal op-amp, (a) Derive the expression for the output voltage in terms of v1, v2, R1, R2, and R3. (b) If R1 = 4 kN, design the circuit to satisfy the following relation: vo =- 22(v2 - 7v1) R2 R3 R1 R1 vị o w R1 www- Oa o V2

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OAP 2 ( (a) Design a circuit which provides a gain of -5 V/V for an input voltage source vs. You have an op-amp powered at VDD = +5 V and Vss = -5 V. Design your circuit such that 1 µA is drawn from the input vs when Vs = 200 mV. Include a drawing of the circuit and label all resistors that you use with their respective values. (b) What is the op-amp output voltage when vs = 200 mV? OAP 3 (a) Design a circuit that provides a gain of +10 V/V for an input signal vs. Use 100 kn as the smaller/smallest resistor value in your design. Include a drawing of the circuit and label all resistors that you use with their respective values. (b) Assume the op-amp is powered at VDD = +15 V and Vss = -15 V. At what positive and negative values of vs will the output vo be +/-15 V? (c) What will happen if the values of vs go beyond the values from (b)?

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