## Transcribed Text

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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