Q1. Consider the op amp circuit of Fig. 1. Assume the op amp is ideal. R www www R3 VI R M V2 Va + R Fig. 1 Vo (a) Express the voltage va in terms of the two input voltages (v1, v) and two input resistor values (R, R). (8 marks) (b) Suppose v1 = 5 V, v2 =2 V, R = 10 k2, and R= 20 kn. Find va. (2 marks) (c) Express the voltage gain G of the op amp circuit in terms of R, and R3, where G = Vol Va. (5 marks) (d) Suppose R3= 10 k and Ry= 20 k. By using the results in (b) and (c), find the output voltage vo (3 marks) (e) Assume the supply voltages of the op amp are +15 V and -15 V, and the input voltage v, can be adjusted freely by using a programmable DC power supply (where v/ 0 V) while the other parameters remain unchanged. Determine the maximum value of v, such that the output of the op amp will not be saturated. (7 marks)