3. (20) The transfer function of a phototransistor is determined experimentally as follows: 9.6 21.1 35 45.9 59.8 Output: Current (mA) Input: Light density (uW/cm) 0.009 0.014 0.022 0.033 0.052 a) Assuming linear relationship between the light density and current produced in the phototransistor, calculate the sensitivity of phototransistor. (State your assumptions, if any) b) Now assume the phototransistor's transfer function is given by the following formula: I= a Pa + b Pd2+c, where a, b and c are constant coefficients, I is current, and Pais light density in the same units as those in the table above. Calculate the sensitivity of the device given this non-linear transfer function. c) What is the sensitivity of the device when light density is 19.7 W/cm in part b) above, and if, say, a = 5.9, b= 2.1, and c= 5? d) Classify this sensor in at least 4 categories. Justify your answers. 3. (20) The transfer function of a phototransistor is determined experimentally as follows: 9.6 21.1 35 45.9 59.8 Output: Current (mA) Input: Light density (uW/cm) 0.009 0.014 0.022 0.033 0.052 a) Assuming linear relationship between the light density and current produced in the phototransistor, calculate the sensitivity of phototransistor. (State your assumptions, if any) b) Now assume the phototransistor's transfer function is given by the following formula: I= a Pa + b Pd2+c, where a, b and c are constant coefficients, I is current, and Pais light density in the same units as those in the table above. Calculate the sensitivity of the device given this non-linear transfer function. c) What is the sensitivity of the device when light density is 19.7 W/cm in part b) above, and if, say, a = 5.9, b= 2.1, and c= 5? d) Classify this sensor in at least 4 categories. Justify your answers