Standardized R/T Characteristics. Standardized R/T characteristics. 1 Introduction

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1 Standardized R/T characteristics 1 Introduction 1.1 Resistance value The R/T characteristics tabulated in the following have been standardized for the resistance value at 25 C. The actual resistance values of a particular NTC thermistor are obtained by multiplying the ratio R T /R 25 (tabulated value) by the resistance value at 25 C (specified in the data sheets). R T R = T R R 25 (1) 25 Resistance values at intermediate temperatures within the range of the subsequent temperature interval can be calculated by means of the temperature coefficient α. α is inserted in the following equation: R T R Tx exp α x = ( T 100 x + 275) (2) T T x R T Resistance value at temperature T R Tx Resistance value at the beginning of the relevant temperature interval T x Temperature in C at the beginning of the relevant temperature interval T Temperature of interest in C (T x < T < T x+1 ) α x Temperature coefficient at temperature T x Example: Given: Curve 1006 R 25 = kω α 5 = Unknown: Resistance at 7 C (R 7 ) a) Calculation of the resistance value at the beginning of the relevant temperature interval (T x =5 C): R Tx = R 5 = 739 kω = 10,6873 kω b) Substituting this value into equation (2) yields: R 7 R 5 exp α 5 = ( ) R 7 = 10,6873 kω exp , ,15 278,15 R 7 = 10,6873 kω exp[ 0,08737] = 10,6873 0,9163 R 7 = 9,7932 kω /02

2 1.2 Resistance tolerance The tolerance range of resistance can be calculated proceeding from the rated temperature and the corresponding rated resistance tolerance (see also General Technical Information, page 19). In practice, the following equation is used: R T R T R N B B 1 R B N T -- 1 = T (3) N R T /R T Maximum spread of resistance at temperature T in % R N /R N Rated tolerance of resistance value at temperature T N (given in data sheet) in % B/B Rated tolerance of B value (given in data sheet) in % B B 25/100 value (given in data sheet) in K T, T N Temperatures in K Example: Given: NTC B57820-M561-A5 Curve 1009 B 25/100 = 3930 B value tolerance B/B = % Rated temperature T N = 100 C Rated resistance R N = R 100 = 39,6 Ω Resistance tolerance at 100 C R N /R N = 5 % Unknown: Resistance value at 35 C (R T = R 35 ) Resistance tolerance at 35 C ( R T /R T = R 35 /R 35 ) a) Calculation of reference resistance R 25 (required for working with the standardized R/T curve; if the rated temperature is 25 C this step is omitted) by means of equation (1): R R = R R 25 R R = R 25 R R 25 = ,6 Ω = 0, ,2 Ω (0, = Factor of curve 1009 at 100 C) b) Calculation of resistance value at 35 C: R 35 R 35 = R R 25 = 0, ,2 Ω = ,2 Ω (0,65726 = Factor of curve at 35 C) /02

3 c) Calculation of resistance tolerance by means of equation (3): R = % R 35 ( ) ( ) = = = % 308, ( , ) % % + % = 8,3 % If the R/T characteristics are computer-stored, the resistance tolerances for all temperatures can be easily determined by an appropriate calculation program. 1.3 Temperature tolerance With given resistance tolerance, the temperature tolerance is determined as follows: T 1 R --- T = (4) α R T α R T /R T Temperature coefficient at T in %/K (see R/T characteristic) Resistance tolerance in % at T The following applies to the example given under point 2: T( 100 C) T( 35 C) 1 = K=2K 1 = ,3 K = 2 K The calculation mode given here is to be regarded as an approximation of actual conditions (B value temperature-dependent, tolerances symmetrical); nevertheless, the results obtained are sufficiently accurate for practical applications /02

4 2 Tabulated R/T characteristics Number T ( C) B 25/100 = 3550 K B 25/100 = 3560 K B 25/100 = 3930 K B 25/100 = 3530 K 5 50,0 4 40,0 3 30,0 2 20,0 1 10,0 0,0 10,0 1 20,0 2 30,0 3 40,0 4 50,0 5 60,0 6 70,0 7 80,0 8 90, , , , , ,503 36,524 27,639 21, ,5313 7, , , , , , , , , , , , , , , , , , , , , , , ,318 29, , ,7251 7, , , , , , , , , , , , , , , , , , , , , , , , , ,4864 7, , , , , , , , , , , , , , , , , , , , , , , ,0 6,8 6, ,643 28, ,4071 7, , , , , , , , , , , , , , , , , , , , , /02

5 Number T ( C) B 25/100 = 3550 K B 25/100 = 3560 K B 25/100 = 3930 K B 25/100 = 3530 K 140, , , , , , , , , , , ,0 0, , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , /02

6 Number T ( C) B 25/100 = 3730 K B 25/100 = 4300 K B 25/100 = 3900 K B 25/100 = 4250 K 5 50,0 4 40,0 70,014 49, ,9 87, ,8 6,5 77, ,507 28,722 7,0 6, , ,8 6,6 3 30,0 2 20,0 1 19, ,903 8, , ,8059 7, , , , ,7439 7, ,0 0,0 10, ,0 2 30, , , , , , , , , ,0 4 50,0 5 60,0 0, , , , , , , , , , , , , , , , , , , , ,0 7 80,0 8 0, , , , , , , , , , , , , , , , , , , , , , ,0 0, , , , , , , , , , , , , , , , , , , , ,0 12 0, , , , , , , , , , , , /02

7

8 Number T ( C) B 25/100 = 2700 K B 25/100 = 2800 K B 25/100 = 2900 K B 25/100 = 2965 K 5 50,0 4 40, , ,995 27,119 20, , , , ,0 2 20,0 1 8,7862 7, ,8633 7, ,671 8, ,06 8,702 6, ,0 0,0 10, ,0 2 30, ,1631 0, , ,1709 0, , ,1777 0, , ,181 0,8511 0, ,0 4 50,0 5 60,0 0, , , , , , , , , , , , , , , ,6254 0,5396 0,4676 0,4068 0, ,0 7 80,0 8 0, , , , , , , , , , , , , , , ,3114 0,2739 0,2417 0,2140 0, , , ,0 0, , , , , , , , , , , , , , , ,1693 0,1512 0,1354 0,1216 0, , ,0 13 0, , , , , , , , , , , , , , , , , , , , /02

9 Number T ( C) B 25/100 = 2700 K B 25/100 = 2800 K B 25/100 = 2900 K B 25/100 = 2965 K 140, , ,0 0, , , , , , , , , , , , , , , , , , , , ,0 0, , , , , , , , /02

10 Number T ( C) B 25/100 = 3065 K B 25/100 = 3165 K B 25/100 = 3265 K B 25/100 = 3000 K 5 50,0 4 40, , ,65 28, , , , ,0 2 20, ,237 7, ,770 7, ,44 8, ,9067 7, ,0 0,0 10, ,0 2 30, ,187 0,8470 0, ,193 0,8429 0, ,199 1,000 0,8384 0, ,1823 0, , ,0 4 50,0 5 60,0 0,6164 0,5294 0,4566 0,3954 0,3438 0,6076 0,5194 0,4459 0,3844 0,3327 0,5982 0,5089 0,4347 0,3730 0,3213 0, , , , , ,0 7 80,0 8 0,3000 0,2627 0,2308 0,2035 0,1800 0,2890 0,2520 0,2205 0,1935 0,1704 0,2779 0,2412 0,2101 0,1836 0,1610 0, , , , , , , ,0 0,1597 0,1421 0,1267 0,1134 0,1017 0,1505 0,1334 0,1185 0,1056 0, ,1416 0,1250 0,1106 0, , , , , , , , ,0 13 0, , , , , , , , , , , , , , , , , , , , /02

11 Number T ( C) B 25/100 = 3065 K B 25/100 = 3165 K B 25/100 = 3265 K B 25/100 = 3000 K 140, , ,0 0, , , , , , , , , , , , , , , , , , , , ,0 0, , , , , , , , /02

12 Number T ( C) B 25/100 = 3050 K B 25/100 = 3300 K B 25/100 = 3200 K B 25/100 = 3450 K 5 50,0 4 40, , ,326 30, , , ,592 49,935 36,640 27,180 20, ,0 2 20, ,1774 7, ,810 8,4512 6, ,366 8, ,0698 7, ,0 0,0 10, ,0 2 30, ,1910 0, , , , ,1987 0, , , , ,0 4 50,0 5 60,0 0, , , , , , , , , , , , , , , , , , , , ,0 7 80,0 8 0, , , , , , , , , , , , , , , , , , , , , , ,0 0, , , , , , , , , , , , , , , , , , , , , ,0 13 0, , , , , , , , , , , , , , /02

13 Number T ( C) B 25/100 = 3050 K B 25/100 = 3300 K B 25/100 = 3200 K B 25/100 = 3450 K 140, , ,0 0, , , , , ,0 0, , /02

14 Number T ( C) B 25/100 = 3060 K B 25/100 = 3520 K B 25/100 = 3920 K B 25/100 = 3980 K 5 50,0 4 40, , , ,694 20,085 87, ,1 6,9 6,5 97,578 67,650 47, ,5 7,2 7,0 3 30,0 2 20, ,947 7, ,0124 7, , ,4515 7, , ,7228 7,3006 6,5 10,0 0,0 10, ,0 2 30, ,185 1,000 0,8478 0, , , , , , , ,0 4 50,0 5 60,0 0,6179 0,5309 0,4581 0,3968 0,3450 0, , , , , , , , , , , , , , , ,0 7 80,0 8 0,3011 0,2637 0,2317 0,2042 0,1806 0, , , , , , , , , , , , , , , , , ,0 0,1602 0,1425 0,1271 0,1136 0,1019 0, , , , , , , , , , , , , , , , ,0 13 0, , , , , , , , , , , , , , , , /02

15 Number T ( C) B 25/100 = 3060 K B 25/100 = 3520 K B 25/100 = 3920 K B 25/100 = 3980 K 140, , ,0 0, , , , , , , , , ,0 0, , /02

16 Number T ( C) B 25/100 = 4100 K B 25/100 = 4600 K B 25/100 = 5000 K B 25/100 = 4830 K 5 50,0 4 40,0 99,552 68,582 47, ,6 7,3 7,0 120, , ,0 6,9 6,8 200,55 131,02 87,171 58,988 8,7 8,3 8,0 7, ,544 8,4 8,1 7,8 7,6 3 30,0 2 20, , ,7251 7,3160 6, ,8455 6,6 6,6 40,545 28,272 19, ,350 7,4 7,1 6,9 6,6 39,061 27,321 19, ,001 7,3 7,1 6,8 6,6 10,0 0,0 10, , , , ,0 2 30, , , , , , , , , ,0 4 50,0 5 60,0 0, , , , , , , , , , , , , , , , , , , , ,0 7 80,0 8 0, , , , , , , , , , , , , , , , , , , , , , ,0 0, , , , , , , , , , , , , , , , , , , , ,0 12 0, , , , , , , , , , , , /02

17

18 Number T ( C) B 25/100 = 4540 K B 25/100 = 4100 K B 25/100 = 3760 K B 25/100 = 4200 K 5 50,0 4 40, ,615 66, ,8 7,6 7,3 7, , ,5 7,2 7, , ,248 40,255 7,7 7,4 7,2 7,0 3 30,0 2 20, ,9370 6,9 6, , ,163 7,5998 6,5 18, ,679 8, ,627 20, ,880 8,0808 6,6 10,0 0,0 10,0 6, ,0 2 30, , , , , , , , , ,0 4 50,0 5 60,0 0, , , , , , , , , , , , , , , , , , , , ,0 7 80,0 8 0, , , , , , , , , , , , , , , , , , , , , , ,0 0, , , , , , , , , , , , , , , , , , , , , ,0 13 0, , , , , , , , , , , , , , , , /02

19 Number T ( C) B 25/100 = 4540 K B 25/100 = 4100 K B 25/100 = 3760 K B 25/100 = 4200 K 140, ,0 15 0, , , , , , , , /02

20 Number T ( C) B 25/100 = 4300 K B 25/100 = 3460 K B 25/100 = 4170 K B 25/100 = 3250 K 5 50,0 4 40, , ,4 7,2 7,1 6, , , ,035 39,975 7,8 7,5 7,2 7, , ,0 2 20,0 1 29, ,4510 6, ,7588 6, ,360 20, ,836 8,0287 6, ,627 8, ,0 0,0 10, ,0 2 30, , , , , , , , , ,0 4 50,0 5 60,0 0, , , , , , , , , , , , , , , , , , , , ,0 7 80,0 8 0, , , , , , , , , , , , , , , , , , , , , , ,0 0, , , , , , , , , , , , , , , , , , , , , ,0 13 0, , , , , , , , , , , , , , , , , , /02

21 Number T ( C) B 25/100 = 4300 K B 25/100 = 3460 K B 25/100 = 4170 K B 25/100 = 3250 K 140, , ,0 0, , , , , , , , , , , , , , , ,0 0, , , , , , , , /02

22 Number T ( C) B 25/100 = 3300 K B 25/100 = 3450 K B 25/100 = 3100 K B 25/100 = 3950 K 5 50,0 4 40,0 48, ,625 59, , ,559 20, , ,3 7,0 6,8 6,5 3 30,0 2 20, , , ,7461 7, ,5753 7, ,2353 7, ,0 0,0 10, ,0 2 30, , , , , ,1898 0, , , , ,0 4 50,0 5 60,0 0, , , , , , , , , , , , , , , , , , , , ,0 7 80,0 8 0, , , , , , , , , , , , , , , , , , , , , , ,0 0, , , , , , , , , , , , , , , , , , , , , ,0 13 0, , , , , , , , , , , , /02

23

24 Number T ( C) B 25/100 = 4450 K B 25/100 = 4355 K B 25/100 = 3950 K B 25/100 = 3988 K 5 50,0 4 40, ,988 6,8 6,6 6, , ,677 7,5 7,2 7,0 6,8 87, ,1 6,9 6, ,01 47, ,4 7,2 6,9 3 30,0 2 20,0 1 27,565 20, ,976 8, ,374 20, ,004 8,1721 6, , ,4143 7, , ,707 7,293 10,0 0,0 10, ,0 2 30, , , , , , , ,000 0,8057 0, ,0 4 50,0 5 60,0 0, , , , , , , , , , , , , , , ,5327 0,4369 0,3603 0,2986 0, ,0 7 80,0 8 0, , , , , , , , , , , , , , , ,2083 0,1752 0,1481 0,1258 0, , , ,0 0, , , , , , , , , , , , , , , , , , , , , ,0 13 0, , , , , , , , , , , , , , , , , , , , /02

25 Number T ( C) B 25/100 = 4450 K B 25/100 = 4355 K B 25/100 = 3950 K B 25/100 = 3988 K 140, , ,0 0, , , , , , , , , , , , , , , , , , ,0 0, , , , /02

26 Number T ( C) B 25/100 = 3964 K B 0/100 = 3390 K B 0/100 = 3450 K B 0/100 = 3970 K 5 50,0 4 40,0 30,24 48, , ,989 28,070 20, ,079 49, ,6 7,3 7,1 6,8 3 30,0 2 20, ,153 6, ,8893 6, ,2484 7, , ,9221 7,4316 6,5 10,0 0,0 10, ,0 2 30, ,000 0,8083 0, , , , , , , ,0 4 50,0 5 60,0 0,5373 0,4418 0,3650 0,3030 0,2527 0, , , , , , , , , , , , , , , ,0 7 80,0 8 0,2118 0,1783 0,1508 0,1280 0,1091 0, , , , , , , , , , , , , , , , , ,0 0, , , , , , , , , , , , , , , , , , , , , ,0 13 0, , , , , , , , , , , , , , , , , , , , /02

27 Number T ( C) B 25/100 = 3964 K B 0/100 = 3390 K B 0/100 = 3450 K B 0/100 = 3970 K 140, , ,0 0, , , , , , , , , , , , , , , , , , , , ,0 18 0, , , , , , , , , , , , , , , , , ,0 0, , , , , , , , , , , , , , , , ,0 23 0, , , , , , , , , , , , , , , , , ,0 0, , , , , , , , , , , , , , , , ,0 28 0, , , , , ,1 0, , , , , , , , , , , ,0 0, , , ,1 1,1 1,1 0, , , ,1 0, , , /02

28 Numb T ( C) B 0/100 = 4036 K B 100/200 = 4537 K B 200/300 = 5133 K B 0/100 = 3450 K 5 50,0 4 40,0 98,775 68,648 48, ,4 7,1 6,9 6, ,620 40,378 7,8 7,5 7,2 7, ,69 80, ,5 8,2 7,9 7, ,989 28,070 20, ,0 2 20, , ,9413 7, ,647 20, ,947 8,1101 6,5 37, , ,5865 7,3 7,1 6,8 6, ,2484 7, ,0 0,0 10, , ,0 2 30, , , , , , , , , ,0 4 50,0 5 60,0 0, , , , , , , , , , , , , , , , , , , , ,0 7 80,0 8 0, , , , , , , , , , , , , , , , , , , , , , ,0 0, , , , , , , , , , , , , , , , , , , , , ,0 13 0, , , , , , , , , , , , , , , , , , , , /02

29 Numb T ( C) B 0/100 = 4036 K B 100/200 = 4537 K B 200/300 = 5133 K B 0/100 = 3450 K 140, , ,0 0, , , , , , , , , , , , , , , , , , , , , ,0 18 0, , , , , , , , , , , , , , , , , , , , , , ,0 0, , , , , , , , , , , , , , , , , , , , , ,0 23 0, , , , , , , , , , , , , , , , , , , , , , ,0 0, , , , , , , , , , , , , , , , , , , , , ,0 28 0, , , , , , , , , , , , , , , , , , , , , ,0 0, , , , , , , , , , , , , /02

30 Number 8413 T ( C) B 150/250 = 5300 K T ( C) B 150/250 = 5300 K T ( C) B 150/250 = 5300 K R T /R 25 α (%/K) R T /R 25 α (%/K) R T /R 25 α (%/K) 5 50,0 4 40, ,81 118,19 80, ,080 8,2 7,9 7,7 7,4 7,2 140, , ,0 0, , , , , , ,0 35 0, , , , , ,0 2 20,0 1 10, , ,8218 7,1726 7,0 6,8 6, , ,0 18 0, , , , , , , ,0 0, , , , , ,0 10, , , ,0 0, , , , , , ,0 40 0, , , , , ,0 2 30,0 3 40, , , , , ,0 23 0, , , , , , , ,0 0, , , , , ,0 5 60,0 6 0, , , , , , , ,0 0, , , , , , ,0 45 0, , , , , ,1 1,1 1,1 1,1 70,0 7 80,0 8 90,0 0, , , , , , ,0 28 0, , , , , , , ,0 0, , , , , ,1 1,1 1,1 1,1 1, , ,0 11 0, , , , , , , ,0 0, , , , , , ,0 0, , , , ,0 1,0 1,0 1,0 120, ,0 13 0, , , , , ,0 0, , , , /02

31 Number 8415 T ( C) B 0/100 = 3970 K T ( C) B 0/100 = 3970 K T ( C) B 0/100 = 3970 K R T /R 25 α (%/K) R T /R 25 α (%/K) R T /R 25 α (%/K) 5 50,0 4 40, ,079 49, ,6 7,3 7,1 6,8 6,5 140, , ,0 0, , , , , , , ,0 2 20,0 1 10,0 18, ,9221 7, , ,0 18 0, , , , , , , ,0 0,0 10, , , ,0 0, , , , , , , ,0 2 30,0 3 40, , , , , ,0 23 0, , , , , , , ,0 4 50,0 5 60,0 6 0, , , , , , , ,0 0, , , , , , , ,0 7 80,0 8 90,0 0, , , , , , ,0 28 0, , , , , , , , , ,0 11 0, , , , , , , ,0 0, , , , ,0 120, ,0 13 0, , , , , , /02

32 Number T ( C) B 25/100 = 3550 K B 25/100 = 4000 K B 25/100 = 4500 K R T /R 25 α (%/K) R T /R 25 α (%/K) R T /R 25 α (%/K) 5 50,0 4 40,0 56,633 41,134 30, , ,892 47, ,4 7,1 6,9 6, , ,8 7,5 7,2 7,0 3 30,0 2 20,0 1 16, ,7156 7, , ,7020 7, , ,6553 6,8 6,6 10,0 0,0 10, ,0 2 30, , , , , , , ,0 4 50,0 5 60,0 0, , , , , , , , , , , , , , , ,0 7 80,0 8 0, , , , , , , , , , , , , , , , , ,0 0, , , , , , , , , , , , , , , ,0 12 0, , , , , , , , , /02

33 Herausgegeben von EPCOS AG Unternehmenskommunikation, Postfach , München, DEUTSCHLAND ( , FAX (0 89) EPCOS AG Vervielfältigung, Veröffentlichung, Verbreitung und Verwertung dieser Broschüre und ihres Inhalts ohne ausdrückliche Genehmigung der EPCOS AG nicht gestattet. Bestellungen unterliegen den vom ZVEI empfohlenen Allgemeinen Lieferbedingungen für Erzeugnisse und Leistungen der Elektroindustrie, soweit nichts anderes vereinbart wird. Diese Broschüre ersetzt die vorige Ausgabe. Fragen über Technik, Preise und Liefermöglichkeiten richten Sie bitte an den Ihnen nächstgelegenen Vertrieb der EPCOS AG oder an unsere Vertriebsgesellschaften im Ausland. Bauelemente können aufgrund technischer Erfordernisse Gefahrstoffe enthalten. Auskünfte darüber bitten wir unter Angabe des betreffenden Typs ebenfalls über die zuständige Vertriebsgesellschaft einzuholen. Published by EPCOS AG Corporate Communications, P.O. Box , Munich, GERMANY ( , FAX (0 89) EPCOS AG Reproduction, publication and dissemination of this brochure and the information contained therein without EPCOS prior express consent is prohibited. Purchase orders are subject to the General Conditions for the Supply of Products and Services of the Electrical and Electronics Industry recommended by the ZVEI (German Electrical and Electronic Manufacturers Association), unless otherwise agreed. This brochure replaces the previous edition. For questions on technology, prices and delivery please contact the Sales Offices of EPCOS AG or the international Representatives. Due to technical requirements components may contain dangerous substances. For information on the type in question please also contact one of our Sales Offices.

Standardized R/T Characteristics

Standardized R/T Characteristics 1 Introduction The R/T characteristics tabulated in the following have been standardized for the resistance value at 25 C. The actual resistance values of a particular NTC thermistor are obtained by multiplying

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