Standardized R/T Characteristics
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1 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 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 calcuated 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 Siemens Matsushita Components 87
2 2 Resistance tolerance The tolerance range of resistance can be calculated proceeding from the rated temperature and the corresponding rated resistance tolerance (see also chapter 3.1.3). In practice, the following equation is used: R T R T R N B 1 1 = B B T (3) R N T 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 = 1,5 % 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 100 R 100 = R 25 R R = R 25 R 25 R R 25 = ,6 Ω = 560,2 Ω 0, (0, = Factor of curve 1009 at 100 C) b) Calculation of resistance value at 35 C: R 35 R 35 = R 25 = 0, ,2 Ω = 368,2 Ω R 25 (0,65726 = Factor of curve at 35 C) 88 Siemens Matsushita Components
3 c) Calculation of resistance tolerance by means of equation (3): R = 5 + 1, % 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. 3 Temperature tolerance With given resistance tolerance, the temperature tolerance is determined as follows: 1 R T 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) 1 = K = 2 K 1 T ( 35 C) = ,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. Siemens Matsushita Components 89
4 4 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, ,4883 1,2160 0, , , , , , , , , , , , , , , , , , , , , , ,318 29, , ,7251 7, ,4920 1,2154 0, , , , , , , , , , , , , , , , , , , , , , , , ,4864 7, ,5649 1,2481 0, , , , , , , , , , , , , , , , , , , , , , ,0 6,8 6,6 6, ,643 28,574 21, ,4071 7, ,4872 1,2161 0, , , , , , , , , , , , , , , , , , , , Siemens Matsushita Components
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, , , , , , , , , , , , , , , , , , , , , , , , , , , ,5 1,5 1,5 1,5 1,4 1,4 0, , , , Siemens Matsushita Components 91
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, ,296 6,9 6,2 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 3 1,5207 1,2280 0, , ,5858 1,2507 0, , ,5475 1,2403 0, , ,5848 1,2547 0, , ,0 4 50,0 5 60,0 0, , , , , , , , , , , , , , , , , , , , ,0 7 80,0 8 0, , , , , , , , , , , , , , , , , , , , , , ,0 0, , , , , , , , , , , , , , , , , , , , ,0 12 0, , , , , , , , , , , , Siemens Matsushita Components
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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 7,8415 6, ,671 8, ,06 8,702 6, ,0 0,0 10, , ,0 2 30,0 3 1,3591 1,1631 0, , ,3779 1,1709 0, , ,3941 1,1777 0, , ,402 1,181 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, , , , , , , , , , , , , , , , , , , , Siemens Matsushita Components
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, , , , , ,5 1,5 0, , , , , ,5 0, , , , , , , , , , ,0 0, , ,5 1,4 0, , ,5 1,5 0, , ,5 1,5 0, ,03670 Siemens Matsushita Components 95
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 28,21 21, , , , ,0 2 20, ,237 7, ,770 7, ,44 8, ,380 8,9067 7, ,0 0,0 10, ,0 2 30,0 3 1,416 1,187 0,8470 0,7208 1,430 1,193 0,8429 0,7139 1,446 1,199 1,000 0,8384 0,7065 1,4053 1,1823 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, , , , , , , , , , , , , , , , , , , , Siemens Matsushita Components
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, , , , , , , , Siemens Matsushita Components 97
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 6,2 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 30,0 3 1,4210 1,1910 0, , ,4538 1,2025 0, , ,4415 1,1987 0, , ,4762 1,2116 0, , ,0 4 50,0 5 60,0 0, , , , , , , , , , , , , , , , , , , , ,0 7 80,0 8 0, , , , , , , , , , , , , , , , , , , , , , ,0 0, , , , , , , , , , , , , , , , , , , , , ,0 13 0, , , , , , , , , , , , , , Siemens Matsushita Components
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, , Siemens Matsushita Components 99
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 20,0 1 11,38 8,947 7, ,0124 7, , ,4515 7, , ,7228 7,3006 6,5 10,0 0,0 10, ,0 2 30,0 3 1,412 1,185 1,000 0,8478 0,7221 1,4773 1,2122 0, , ,5623 1,2488 0, , ,5709 1,2492 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, , , , , , , , , , , , , , , , Siemens Matsushita Components
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, ,03263 Siemens Matsushita Components 101
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 6,5 31, ,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, , , ,2 7, ,2 1 20,0 2 30,0 3 1,5738 1,2488 0, , ,2823 0, , ,3074 0, , ,3021 0, , ,0 4 50,0 5 60,0 0, , , , , , , , , , , , , , , , , , , , ,0 7 80,0 8 0, , , , , , , , , , , , , , , , , , , , , , ,0 0, , , , , , , , , , , , , , , , , , , , ,0 12 0, , , , , , , , , , , , Siemens Matsushita Components
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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, ,2 120, ,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, ,2819 0, , ,5878 1,2558 0, , ,5257 1,2330 0, , ,2631 0, , ,0 4 50,0 5 60,0 0, , , , , , , , , , , , , , , , , , , , ,0 7 80,0 8 0, , , , , , , , , , , , , , , , , , , , , , ,0 0, , , , , , , , , , , , , , , , , , , , , ,0 13 0, , , , , , , , , , , , , , , , Siemens Matsushita Components
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, , , , , , , , Siemens Matsushita Components 105
20 Number T ( C) B 25/100 = 4300 K B 25/100 = 4170 K B 25/100 = 3250 K B 25/100 = 3450 K 5 50,0 4 40,0 121, , ,4 7,2 7,1 6,9 120, ,035 39,975 7,8 7,5 7,2 7, ,124 59, , ,2 3 30,0 2 20,0 1 29,947 21, ,466 8,4510 6,6 6,2 28,360 20, ,836 8,0287 6, ,627 8, , ,7461 7, ,0 0,0 10,0 6, ,0 2 30, ,2683 0, , ,2625 0, , ,4525 1,2027 0, , ,4855 1,2149 0, , ,0 4 50,0 5 60,0 0, , , , , , , , , , , , , , , , , , , , ,0 7 80,0 8 0, , , , , , , , , , , , , , , , , , , , , , ,0 0, , , , , , , , , , , , , , , , , , , , , ,0 13 0, , , , , , , , , , , , , , , , Siemens Matsushita Components
21 Number T ( C) B 25/100 = 4300 K B 25/100 = 4170 K B 25/100 = 3250 K B 25/100 = 3450 K 140, , ,0 0, , , , , , , , , , ,0 0, , , , Siemens Matsushita Components 107
22 Number T ( C) B 25/100 = 3100 K B 25/100 = 3950 K B 25/100 = 4355 K B 25/100 = 4450 K 5 50,0 4 40, ,559 20, , ,395 7,3 7,0 6,8 6, , ,677 7,5 7,2 7,0 6, ,988 6,8 6,6 6,5 3 30,0 2 20, ,5753 7, ,2353 7,0079 6,2 28,374 20, ,004 8,1721 6,6 6,2 27,565 20, ,976 8,1744 6,2 10,0 0,0 10, ,0 2 30,0 3 1,4233 1,1898 0, , ,5596 1,2457 0, , ,2689 0, , ,2666 0, , ,0 4 50,0 5 60,0 0, , , , , , , , , , , , , , , , , , , , ,0 7 80,0 8 0, , , , , , , , , , , , , , , , , , , , , , ,0 0, , , , , , , , , , , , , , , , , , , , , ,0 13 0, , , , , , , , , , , , , , , , Siemens Matsushita Components
23 Number T ( C) B 25/100 = 3100 K B 25/100 = 3950 K B 25/100 = 4355 K B 25/100 = 4450 K 140, , ,0 0, , , , , , , , , , ,0 0, , , , Siemens Matsushita Components 109
24 Number T ( C) B 25/100 = 3950 K B 25/100 = 3988 K B 25/100 = 3964 K 5 50,0 4 40,0 R T /R 25 α (%/K) R T /R 25 α (%/K) R T /R 25 α (%/K) 87, ,1 6,9 6, ,01 47, ,4 7,2 6,9 30, ,0 2 20, , ,4143 7, , ,707 7,293 6, ,153 6,945 10,0 0,0 10, ,0 2 30,0 3 1,5618 1,2474 0, , ,571 1,249 1,000 0,8057 0,6531 1,557 1,244 1,000 0,8083 0, ,0 4 50,0 5 60,0 0, , , , , ,5327 0,4369 0,3603 0,2986 0,2488 0,5373 0,4418 0,3650 0,3030 0, ,0 7 80,0 8 0, , , , , ,2083 0,1752 0,1481 0,1258 0,1072 0,2118 0,1783 0,1508 0,1280 0, , , ,0 0, , , , , , , , , , , , , , , , ,0 13 0, , , , , , , , , , , , , , , Siemens Matsushita Components
25 Number T ( C) B 25/100 = 3950 K B 25/100 = 3988 K B 25/100 = 3964 K 140, ,0 15 R T /R 25 α (%/K) R T /R 25 α (%/K) R T /R 25 α (%/K) 0, , , , , , , , , , , , Siemens Matsushita Components 111
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