construct a temperature sensor for measuring the ambient outside temperature in Borrego Springs (-30oC T 40oC). You decide to base operation of the temperature sensor on the change in resistance associated with a bar-shaped piece of n-type Si. A relatively small cross section would allow a more rapid response to temperature change. To be specific, use a bar of 1 cm long with an area of 1 mm x 1 mm.
(a) Restricting yourself to nondegenerate dopings and also requiring the resistance to be readily measured with a hand-held multimeter (say 1 R 1000), what is the range of doping? Pick a doping concentration in the mid range.
(b)check the doping concentration you picked can work within the specified temperature range. (c) Derive an expression for the sensitivity (dR/dT in ?/ oC) of your sensor. (d) Is it preferable to use low or high dopings?