Chapter 1, Problem 23P

The output voltage, $v_0$, of the Op-Amp circuit shown in Fig. P1.23 satisfies the relationship $v_o=\left(1+\frac{100}{R}\right)\left(\frac{v_{in}}{2}\right)-\left(\frac{100}{R}\right)v_b$, where R is the unknown resistance in $k\Omega$ 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 $v_{in}$, and find the values of R and $v_b$.

(b) Plot the output voltage $v_o$ as a function of the input voltage $v_{in}$. 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).