A 2-k potentiometer is connected to the flaps of an unmanned aerial vehicle, or UAV, to detect

A 2-kΩ potentiometer is connected to the flaps of an unmanned aerial vehicle, or UAV, to detect their position. When the flaps are at their maximum upward extension of +45, the potentiometer is at its maximum resistance of 2 kΩ; when the flaps are flat or 0, the potentiometer is set at 1 kΩ; and when the flaps are at their minimum downward extension of

−45, the potentiometer is at its minimum resistance of 0 kΩ. Design an interface to a 0–5 V ADC that gives +45 at 5 V and −45 at 0 V.