A variable dc supply Vs (0–15 V) feeds a two-resistor divider in which R1=2kΩ is connected to the supply and R2=1kΩ. A device that behaves as a constant 1.5kΩ resistor is connected across R2.
(i) Derive an algebraic expression for the output voltage Vout across the 1.5kΩ device in terms of the supply voltage Vs.
(ii) Evaluate Vout when Vs=10V.
(iii) Obtain the rate of change dVsdVout and comment on how closely the output tracks changes in the supply voltage.
(iv) State one practical implication of your result for the design of voltage-sensitive electronic circuits.