Chapter 5, Problem 53P

(a)

To determine

Show that the output voltage of the op amp $v_o$ is $\frac{R_f\left(R+R_f\right)}{R^2\left(R+2R_f\right)}\left(\Delta R\right)v_{in}$ when $\Delta R\ll R$.

(b)

To determine

Derive the expression for the percent error in $v_o$ as a function of R, $R_f$, and $\Delta R$.

(c)

To determine

Calculate the approximate value of output voltage $v_o$.

(d)

To determine

Determine the percentage of error in the approximation of voltage $v_o$ when the variable arm resistance is $9810\Omega$.