The op amp in the circuit of Fig. P5.32 is ideal. a) Plot vo versus α when Rf = 4 R1 and...

The op amp in the circuit of Fig. P5.32 is ideal. a) Plot v_o versus α when R_f = 4 R₁ and v_g = 2V.

Use increments of 0.1 and note by hypothesis that 0 ≤ α ≤ 1.0.

b) Write an equation for the straight line you plotted in (a). How are the slope and intercept of the line related to vg and the ratio R_f/R₁ ?

c) Using the results from (b), choose values for and the ratio Rf/R1 such that v_o = -6α +4.