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1. Suppose you have developed a temperature sensing circuit as follows What is the formula for Vout in terms of Vin, RK and RT? 2.Modify your expression in so that Vout is in terms of Vin, Rknown, ß,R0,T0 3.If Vin is 5v. Rknown is Bis 3950, R0 10kn and TO is 25C (298k), develop a plot of Vout for temperatures ranging from 00 to 100C. 4.When you perform an analog to digital conversion of the output voltage, Vout the result will be 10-bit value. Determine the A/D results for the following analog output voltages- You may assume that your results are configured to beright justified 5.Inthe dircuit presented in problem 1, fyou set Rknown toa 10k9 fixed resisto and RThermistor isz normal 10kf thermistor with ß valuo of 3950, complete the following table You may assume that you have connected the voltage at the output node to one of the analog to digital pins on the PICand have digitized it with the results being right justified 6-Given an analog to digital conversion result for Vout, where result = 256* ADRESH+ADRESL develop an expression for the temperature in Kelvin in terms of result assuming the given values for the normal resistors, temperatures, and B. 7.Given the following analog to digital results, determine the temperature in K C. and See pages below Mathematically Modeling a Temperature Sensing Circuit You may find spreadsheet to be useful in completing your tables 1. Suppose you have developed temperature sensing circuit as follows. What is the formula for Vout in termsof Vine RK,and RT? Vin R R1 Rnown R Thermistor R2 nin so that Vout isin terms of Vin. Rknown To known is 10kf ßis 3950 R0= 10kn, and Tois 25°C (298k), develop plotof Vout for temperatures ranging from 0°C to 100-C. 4. When you perform an analog to digital conversion of the output voltage, Vout, the result will bca 10-bit value- Determino the A/D results for the following analog output voltages. You may assumo that your results are configured to be right justified Vout (v) ADRESH (hex) ADRESL (hex) 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5. In the dircuit presented in problem 1.if you set Rknown toa 10k0 fixed resistor and RThermistor isz normal 10k0 thermistor witha ß value of 3950, complete the following table. You may assume that you have connected the voltage at the output node to one of the analog to digital pins onthe PIC and have digitized with the results being right justified Temperature Temperature RThermistor Vout ADRESH ADRESI (c) (K) (2) (v) (hex) (hex) 10 20 30 40 50 60 70 80 90 100 6. Given an analog to digital conversion result for Vout. where result = 256* ADRESH +ADRESL, develop an expression for the temperaturo in Kelvin in termso result assuming the given values for the normal resistors temperatures and ß 7. Given the following analog to digital results determine the temperature in K, ADRESH ADRESL Temperature Temperature Temperature (hex) (hex) (K) (C) (°F) 0x00 0x4C 0x00 0x8F 0x01 0x77 0x01 0xFF

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Mathematically Modeling a Temperature Sensing Circuit
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