V2 - V1

T2 - T1

u

¹

·

V - V1 =

(T - T1)

30

)

00176

.

0

(

2

mV

V

6

.

870

00176

.

0

4

506

.

5

506

.

5

T

TEMP

2

u

u

u

2

TEMP

2

mV

mV

V

mV

870.6mV

5.506

T

30 C

0.00176

T

30 C

C

C

ª

º

ª

º

q

q

«

»

«

»

q

¬

¼

q

¬

¼

9

LMT84-Q1

www.ti.com

SNIS178 – OCTOBER 2017

Product Folder Links: LMT84-Q1

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Copyright © 2017, Texas Instruments Incorporated

Feature Description (continued)

Table 3. LMT84-Q1 Transfer Table (continued)

TEMP

(°C)

VOUT

(mV)

TEMP

(°C)

VOUT

(mV)

TEMP

(°C)

VOUT

(mV)

TEMP

(°C)

VOUT

(mV)

TEMP

(°C)

VOUT

(mV)

–38

1236

2

1023

42

804

82

579

122

349

–37

1231

3

1017

43

799

83

574

123

343

–36

1226

4

1012

44

793

84

568

124

337

–35

1221

5

1007

45

788

85

562

125

332

–34

1215

6

1001

46

782

86

557

126

326

–33

1210

7

996

47

777

87

551

127

320

–32

1205

8

990

48

771

88

545

128

314

–31

1200

9

985

49

766

89

539

129

308

–30

1194

10

980

50

760

90

534

130

302

–29

1189

11

974

51

754

91

528

131

296

–28

1184

12

969

52

749

92

522

132

291

–27

1178

13

963

53

743

93

517

133

285

–26

1173

14

958

54

738

94

511

134

279

–25

1168

15

952

55

732

95

505

135

273

–24

1162

16

947

56

726

96

499

136

267

–23

1157

17

941

57

721

97

494

137

261

–22

1152

18

936

58

715

98

488

138

255

–21

1146

19

931

59

710

99

482

139

249

–20

1141

20

925

60

704

100

476

140

243

–19

1136

21

920

61

698

101

471

141

237

–18

1130

22

914

62

693

102

465

142

231

–17

1125

23

909

63

687

103

459

143

225

–16

1120

24

903

64

681

104

453

144

219

–15

1114

25

898

65

676

105

448

145

213

–14

1109

26

892

66

670

106

442

146

207

–13

1104

27

887

67

664

107

436

147

201

–12

1098

28

882

68

659

108

430

148

195

–11

1093

29

876

69

653

109

425

149

189

150

183

Although the LMT84-Q1 is very linear, the response does have a slight umbrella parabolic shape. This shape is

very accurately reflected in Table 3. The transfer table can be calculated by using the parabolic equation

(Equation 1).

(1)

The parabolic equation is an approximation of the transfer table and the accuracy of the equation degrades

slightly at the temperature range extremes. Equation 1 can be solved for T, resulting in:

(2)

For an even less accurate linear approximation, a line can easily be calculated over the desired temperature

range from the table using the two-point equation (Equation 3):

where

•

V is in mV,

•

T is in °C,

•

T1 and V1 are the coordinates of the lowest temperature,