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8.1.1.1 Example 1: Finding Worst-Case Accuracy From –15°C to 50°C

As an example, if the user is concerned only about the temperature accuracy between –15°C to 50°C, the

worst-case accuracy can be determined by using the two slope calculations shown in Equation 2 and Equation

(

)

(

)

Accuracy

Slope

worst case

25 C

+ D ´

(2)

(

)

(

)

m C

Accuracy

0.3 C

15 C

25 C

0.58 C

MAX[ 15 C to 25 C]

° + - ° -

´ -

- °

(3)

(

)

(

)

(

)

Accuracy

Slope2

MAX[25 C to 50 C]

25 C

MAX

+ D ´

(4)

(

)

(

)

m C

Accuracy

0.3 C

50 C

25 C

0.425 C

MAX[25 C to 50 C]

° +

° -

(5)

The same calculations must be applied to the minimum case:

(

)

(

)

(

)

Accuracy

Slope1

MIN[ 15 C to 25 C]

25 C

MIN

+ D ´

(6)

(

)

(

)

m C

Accuracy

0.5 C

15 C

25 C

0.5 C

MIN[ 15 C to 25 C]

= -

° + - ° -

= -

- °

(7)

(

)

(

)

(

)

Accuracy

Slope2

MIN[25 C to 50 C]

25 C

MIN

+ D ´

(8)

(

)

(

)

m C

Accuracy

0.5 C

50 C

25 C

0.5 C

MIN[25 C to 50 C]

= -

° +

° -

= -

(9)

Based on these calculations, a user can expect a worst-case accuracy of 0.58°C to –0.5°C in the temperature

range of –15°C to 50°C.

8.1.1.2 Example 2: Finding Worst-Case Accuracy From 25°C to 100°C

If the desired temperature range falls in the region of slope 3, first calculate the worst-case value from 25°C to

85°C and add the value to the change in temperature multiplied by the span error of slope 3. As an example,

consider the temperature range of 25°C to 125°C as shown in Equation 10:

(

)

(

)

(

)

(

)

Accuracy

Slope2

Slope3

MAX[25 C to 100 C]

25 C

MAX

+ D ´

+ D

(10)

(

)

(

)

(

)

m C

Accuracy

0.3 C

85 C

25 C

4.5

100 C 85 C

0.69 C

MAX[25 C to 100 C]

° +

° -

(11)

Then perform the same calculation for the minimum case as shown in Equation 12:

(

)

(

)

(

)

(

)

Accuracy

Slope2

Slope3

MIN[25 C to 100 C]

25 C

MIN

+ D ´

+ D

(12)

(

)

(

)

(

)

m C

Accuracy

0.5 C

85 C

25 C

100 C

85 C

0.5 C

MIN[25 C to 100 C]

ù é

= -

° +

° -

= -

ú ê

û ë

(13)

TMP112-Q1, TMP112D-Q1

SLOS887G – SEPTEMBER 2014 – REVISED MAY 2025

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