# Lesson 2.2.2 Thermistor

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Introduction

Just like photoresistor can sense light, thermistor is a temperature sensitive electronic device that can be used for realizing functions of temperature control, such as making a heat alarm.

Components

Principle

A thermistor is a thermally sensitive resistor that exhibits a precise and predictable change in resistance proportional to small changes in temperature. How much its resistance will change is dependent upon its unique composition. Thermistors are the parts of a larger group of passive components. And unlike their active component counterparts, passive devices are incapable of providing power gain, or amplification to a circuit.

Thermistor is a sensitive element, and it has two types: Negative Temperature Coefficient (NTC) and Positive Temperature Coefficient (PTC), also known as NTC and PTC. Its resistance varies significantly with temperature. The resistance of PTC thermistor increases with temperature ,while the condition of NTC is  opposite to the former   In this experiment we use  NTC.

The principle is that the resistance of the NTC thermistor changes with the temperature of the outer environment. It detects the real-time temperature of the environment. When the temperature gets higher, the resistance of the thermistor decreases. Then the voltage data  is converted to digital quantities by the A/D adapter. The temperature in Celsius or Fahrenheit is output via programming.

In this experiment, a thermistor and a 10k pull-up resistor are used. Each thermistor has a normal resistance. Here it is 10k ohm, which is measured under 25 degree Celsius.

Here is the relation between the resistance and temperature:

RT =RN expB(1/TK – 1/TN)

RT is the resistance of the NTC thermistor when the temperature is TK.

RN is the resistance of the NTC thermistor under the rated temperature TN. Here, the numerical value of  RN  is 10k.

TK is a Kelvin temperature and the unit is K. Here, the numerical value of TK is 273.15 + degree Celsius.

TN is a rated Kelvin temperature; the unit is K too. Here, the numerical value of TN   is 273.15+25.

And B(beta), the material constant of NTC thermistor, is also called heat sensitivity index with a numerical value 3950.

exp is the abbreviation of exponential,  and the base number e is a natural number and equals 2.7 approximately.

Convert this formula TK=1/(ln(RT/RN)/B+1/TN) to get Kelvin temperature that minus 273.15 equals degree Celsius.

This relation is an empirical formula. It is accurate only when the temperature and resistance are within the effective range.

Schematic Diagram

Experimental Procedures

Step 1: Build the circuit.

• For C Language Users

Step 2: Go to the folder of the code.

``    cd /home/pi/davinci-kit-for-raspberry-pi/c/2.2.2/``

Step 3: Compile the code.

``    gcc 2.2.2_Thermistor.c -lwiringPi -lm``

Note: -lm is to load the library math. Do not omit, or you will make an error.

Step 4: Run the executable file.

``    sudo ./a.out``

With the code run, the thermistor detects ambient temperature which will be printed on the screen once it finishes the program calculation.

Code

``````#include <wiringPi.h>
#include <stdio.h>
#include <math.h>

typedef unsigned char uchar;
typedef unsigned int uint;

{
uchar i;
uchar dat1=0, dat2=0;
int sel = channel > 1 & 1;
int odd = channel & 1;

// Start bit
//Single End mode
// ODD
//Select

for(i=0;i<8;i++)
{

}

for(i=0;i<8;i++)
{
}

return(dat1==dat2) ? dat1 : 0;
}

int main(void)
{
unsigned char analogVal;
double Vr, Rt, temp, cel, Fah;
if(wiringPiSetup() == -1){ //when initialize wiring failed,print messageto screen
printf("setup wiringPi failed !");
return 1;
}

while(1){
Vr = 5 * (double)(analogVal) / 255;
Rt = 10000 * (double)(Vr) / (5 - (double)(Vr));
temp = 1 / (((log(Rt/10000)) / 3950)+(1 / (273.15 + 25)));
cel = temp - 273.15;
Fah = cel * 1.8 +32;
printf("Celsius: %.2f C  Fahrenheit: %.2f F\n", cel, Fah);
delay(100);
}
return 0;
}``````

Code Explanation

``#include <math.h>``

There is a C numerics library which declares a set of functions to compute common mathematical operations and transformations.

``         analogVal = get_ADC_Result(0);``

This function is used to read the value of the thermistor.

``````        Vr = 5 * (double)(analogVal) / 255;
Rt = 10000 * (double)(Vr) / (5 - (double)(Vr));
temp = 1 / (((log(Rt/10000)) / 3950)+(1 / (273.15 + 25)));
cel = temp - 273.15;
Fah = cel * 1.8 +32;
printf("Celsius: %.2f C  Fahrenheit: %.2f F\n", cel, Fah);``````

These calculations convert the thermistor values into Celsius values.

``````Vr = 5 * (double)(analogVal) / 255;
Rt = 10000 * (double)(Vr) / (5 - (double)(Vr));``````

These two lines of codes are calculating the voltage distribution with the read value analog so as to get Rt (resistance of thermistor).

`` temp = 1 / (((log(Rt/10000)) / 3950)+(1 / (273.15 + 25)));``

This code refers to plugging Rt into the formula TK=1/(ln(RT/RN)/B+1/TN) to get Kelvin temperature.

``temp = temp - 273.15;``

Convert Kelvin temperature into degree Celsius.

``Fah = cel * 1.8 +32;``

Convert degree Celsius into Fahrenheit.

``printf("Celsius: %.2f C  Fahrenheit: %.2f F\n", cel, Fah);``

Print centigrade degree, Fahrenheit degree and their units on the display.

• For Python Language Users

Step 2: Go to the folder of the code.

``    cd /home/pi/davinci-kit-for-raspberry-pi/python/``

Step 3: Run the executable file

``    sudo python3 2.2.2_Thermistor.py``

With the code run, the thermistor detects ambient temperature which will be printed on the screen once it finishes the program calculation.

Code

``````#!/usr/bin/env python3
# -*- coding: utf-8 -*-

import RPi.GPIO as GPIO
import time
import math

def init():

def loop():
while True:
Vr = 5 * float(analogVal) / 255
Rt = 10000 * Vr / (5 - Vr)
temp = 1/(((math.log(Rt / 10000)) / 3950) + (1 / (273.15+25)))
Cel = temp - 273.15
Fah = Cel * 1.8 + 32
print ('Celsius: %.2f °C  Fahrenheit: %.2f ℉' % (Cel, Fah))
time.sleep(0.2)

if __name__ == '__main__':
init()
try:
loop()
except KeyboardInterrupt:

Code Explanation

``import math``

There is a numerics library which declares a set of functions to compute common mathematical operations and transformations.

``analogVal = ADC0834.getResult()``

This function is used to read the value of the thermistor.

``````       Vr = 5 * float(analogVal) / 255
Rt = 10000 * Vr / (5 - Vr)
temp = 1/(((math.log(Rt / 10000)) / 3950) + (1 / (273.15+25)))
Cel = temp - 273.15
Fah = Cel * 1.8 + 32
print ('Celsius: %.2f °C  Fahrenheit: %.2f ℉' % (Cel, Fah))``````

These calculations convert the thermistor values into centigrade degree and Fahrenheit degree.

``````Vr = 5 * float(analogVal) / 255
Rt = 10000 * Vr / (5 - Vr)``````

These two lines of codes are calculating the voltage distribution with the read value analog so as to get Rt (resistance of thermistor).

``temp = 1/(((math.log(Rt / 10000)) / 3950) + (1 / (273.15+25)))``

This code refers to plugging Rt into the formula TK=1/(ln(RT/RN)/B+1/TN) to get Kelvin temperature.

``temp = temp - 273.15``

Convert Kelvin temperature into centigrade degree.

``Fah = Cel * 1.8 + 32``

Convert the centigrade degree into Fahrenheit degree.

``print ('Celsius: %.2f °C  Fahrenheit: %.2f ℉' % (Cel, Fah))``

Print centigrade degree, Fahrenheit degree and their units on the display.

Phenomenon Picture