Chapter 1, Problem 24P

The output voltage, $v_0$, of the Op-Amp circuit shown in Fig. P1.24 satisfies the relationship $v_0=-\left(v_2+\frac{100}{R}{v}_{in}\right)$, where R is the unknown resistance in $\text{k}\Omega$, $v_{in}$, is the input voltage, and $v_2$ is the unknown voltage. Fig. P1.24 gives the values of the output voltage for two different values o f the input voltage $v_{in}$.

(a) Find the equation of the line for $v_0$ a function of $v_{in}$, and determine the values o f R and $v_2$.

(b) Plot the output voltage $v_0$ as a function of the input voltage $v_{in}$. 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).