The output voltage, v 0 , of the Op-Amp circuit shown in Fig. P1.23 satisfies the relationship v o = ( 1 + 100 R ) ( v i n 2 ) − ( 100 R ) v b , where R is the unknown resistance in k Ω and v b is the unknown voltage in volts. Fig. P1.23 gives the values of the output voltage for two different values of the input voltage.

(a) Determine the equation of the line for v o , as a function of v i n , and find the values of R and v b .

(b) Plot the output voltage v o as a function of the input voltage v i n . On the plot, clearly indicate the value of the output voltage when the input voltage is zero (y-intercept) and the value of the input voltage when the output voltage is zero (x-intercept).