Appendix D.High-Temperature Thermistor Linearization

Resistance to Temperature Equation for US Sensor 103JL1A:

High_Temperature_Resistance_to_Temperature.png 

equation 9: High-Temperature Resistance to Temperature

Where:

T = Temperature in °C

LnR = Natural Log of Thermistor Resistance.

A = 1.127670 x 10-3 

B = 2.344442 x 10-4    

C = 8.476921 x 10-8 

D = 1.175122 x 10-11

Note: Coefficients optimized for a curve J thermistor over the temperature range of 0 °C to +250 °C.

Ohms

Temp

Ohms

Temp

Ohms

Temp

Ohms

Temp

Ohms

Temp

Ohms

Temp

Ohms

Temp

Ohms

Temp

32,650

0

7,402

32

2,157

64

763.5

96

316.6

128

148.4

160

76.5

192

42.8

224

31,029

1

7,098

33

2,083

65

741.2

97

308.7

129

145.1

161

75.0

193

42.1

225

29,498

2

6,808

34

2,011

66

719.6

98

301.0

130

142.0

162

73.6

194

41.4

226

28,052

3

6,531

35

1,942

67

698.7

99

293.5

131

138.9

163

72.2

195

40.7

227

26,685

4

6,267

36

1,876

68

678.6

100

286.3

132

135.9

164

70.8

196

40.0

228

25,392

5

6,015

37

1,813

69

659.1

101

279.2

133

133.0

165

69.5

197

39.3

229

24,170

6

5,775

38

1,752

70

640.3

102

272.4

134

130.1

166

68.2

198

38.7

230

23,013

7

5,545

39

1,693

71

622.2

103

265.8

135

127.3

167

66.9

199

38.0

231

21,918

8

5,326

40

1,637

72

604.6

104

259.3

136

124.6

168

65.7

200

37.4

232

20,882

9

5,117

41

1,582

73

587.6

105

253.1

137

122.0

169

64.4

201

36.8

233

19,901

10

4,917

42

1,530

74

571.2

106

247.0

138

119.4

170

63.3

202

36.2

234

18,971

11

4,725

43

1,480

75

555.3

107

241.1

139

116.9

171

62.1

203

35.6

235

18,090

12

4,543

44

1,432

76

539.9

108

235.3

140

114.5

172

61.0

204

35.1

236

17,255

13

4,368

45

1,385

77

525.0

109

229.7

141

112.1

173

59.9

205

34.5

237

16,463

14

4,201

46

1,340

78

510.6

110

224.3

142

109.8

174

58.8

206

33.9

238

15,712

15

4,041

47

1,297

79

496.7

111

219.0

143

107.5

175

57.7

207

33.4

239

14,999

16

3,888

48

1,255

80

483.2

112

213.9

144

105.3

176

56.7

208

32.9

240

14,323

17

3,742

49

1,215

81

470.1

113

208.9

145

103.2

177

55.7

209

32.3

241

13,681

18

3,602

50

1,177

82

457.5

114

204.1

146

101.1

178

54.7

210

31.8

242

13,072

19

3,468

51

1,140

83

445.3

115

199.4

147

99.0

179

53.7

211

31.3

243

12,493

20

3,340

52

1,104

84

433.4

116

194.8

148

97.0

180

52.7

212

30.8

244

11,942

21

3,217

53

1,070

85

421.9

117

190.3

149

95.1

181

51.8

213

30.4

245

11,419

22

3,099

54

1,037

86

410.8

118

186.1

150

93.2

182

50.9

214

29.9

246

10,922

23

2,986

55

1,005

87

400.0

119

181.9

151

91.3

183

50.0

215

29.4

247

10,450

24

2,878

56

973.8

88

389.6

120

177.7

152

89.5

184

49.1

216

29.0

248

10,000

25

2,774

57

944.1

89

379.4

121

173.7

153

87.7

185

48.3

217

28.5

249

9,572

26

2,675

58

915.5

90

369.6

122

169.8

154

86.0

186

47.4

218

28.1

250

9,165

27

2,579

59

887.8

91

360.1

123

166.0

155

84.3

187

46.6

219

 

 

8,777

28

2,488

60

861.2

92

350.9

124

162.3

156

82.7

188

45.8

220

 

 

8,408

29

2,400

61

835.4

93

341.9

125

158.6

157

81.1

189

45.0

221

 

 

8,057

30

2,316

62

810.6

94

333.2

126

155.1

158

79.5

190

44.3

222

 

 

7,722

31

2,235

63

786.6

95

324.8

127

151.7

159

78.0

191

43.5

223

 

 

table 12: Thermistor Resistance versus Temperature for Model 4200HT