The voltage divider network of Figure P2.52 is designed to provide v _out = v _S /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 = 10V and nominal resistance values of R ₁ = R ₂ = 5 k?

a. If the resistors have ? 10 percent tolerance find the expected range of possible output voltages.

b. Find the expected output voltage range for a tolerance of ?5 percent.

Figure P2.52:

Vs R R Vou