Chapter 2, Problem 2.52HP

The voltage divider network of Figure P2.52 is designed to provide $v_{out}=v_s\text{/}2$ . However, in practice, the resistors may not be perfectly matched; that is, their tolerances are such that the resistances are unlikely to be identical. Assume $v_s=10\text{V}$ and nominal resistance values of $R_1=R_2=5\text{k}\Omega$ .
a. 1f the resistors have $\pm 10$ percent tolerance, find the expected range of possible output voltages.
b. Find the expected output voltage range for a tolerance of $\pm 5$ percent.