Appendix B.Thermistor Temperature Derivation
■YSI 44005, Dale #1C3001–B3, Alpha #13A3001–B3
■Honeywell 192–302LET–A01
Resistance to Temperature Equation:
|
T = |
1 |
– 273.15 |
|
A+B(LnR)+C(LnR3) |
Equation 6: 3kΩ Thermistor Resistance
Where:
T = Temperature in °C
LnR = Natural Log of Thermistor Resistance
A = 1.4051 x 10–3
B = 2.369 x 10–4
C = 1.019 x 10–7
Note: Coefficients calculated over the –50 to +150 °C span.
|
Ohms |
Temp |
|
201.1K |
–50 |
|
187.3K |
–49 |
|
174.5K |
–48 |
|
162.7K |
–47 |
|
151.7K |
–46 |
|
141.6K |
–45 |
|
132.2K |
–44 |
|
123.5K |
–43 |
|
115.4K |
–42 |
|
107.9K |
–41 |
|
101.0K |
–40 |
|
94.48K |
–39 |
|
88.46K |
–38 |
|
82.87K |
–37 |
|
77.66K |
–36 |
|
72.81K |
–35 |
|
68.30K |
–34 |
|
64.09K |
–33 |
|
60.17K |
–32 |
|
56.51K |
–31 |
|
53.10K |
–30 |
|
49.91K |
–29 |
|
46.94K |
–28 |
|
44.16K |
–27 |
|
41.56K |
–26 |
|
39.13K |
–25 |
|
36.86K |
–24 |
|
34.73K |
–23 |
|
32.74K |
–22 |
|
30.87K |
–21 |
|
29.13K |
–20 |
|
27.49K |
–19 |
|
25.95K |
–18 |
|
24.51K |
–17 |
|
23.16K |
–16 |
|
21.89K |
–15 |
|
20.70K |
–14 |
|
19.58K |
–13 |
|
18.52K |
–12 |
|
17.53K |
–11 |
|
16.60K |
–10 |
|
15.72K |
–9 |
|
14.90K |
–8 |
|
14.12K |
–7 |
|
13.39K |
–6 |
|
12.70K |
–5 |
|
12.05K |
–4 |
|
11.44K |
–3 |
|
10.86K |
–2 |
|
10.31K |
–1 |
|
9796 |
0 |
|
9310 |
1 |
|
8851 |
2 |
|
8417 |
3 |
|
8006 |
4 |
|
7618 |
5 |
|
7252 |
6 |
|
6905 |
7 |
|
6576 |
8 |
|
6265 |
9 |
|
5971 |
10 |
|
5692 |
11 |
|
5427 |
12 |
|
5177 |
13 |
|
4939 |
14 |
|
4714 |
15 |
|
4500 |
16 |
|
4297 |
17 |
|
4105 |
18 |
|
3922 |
19 |
|
3748 |
20 |
|
3583 |
21 |
|
3426 |
22 |
|
3277 |
23 |
|
3135 |
24 |
|
3000 |
25 |
|
2872 |
26 |
|
2750 |
27 |
|
2633 |
28 |
|
2523 |
29 |
|
2417 |
30 |
|
2317 |
31 |
|
2221 |
32 |
|
2130 |
33 |
|
2042 |
34 |
|
1959 |
35 |
|
1880 |
36 |
|
1805 |
37 |
|
1733 |
38 |
|
1664 |
39 |
|
1598 |
40 |
|
1535 |
41 |
|
1475 |
42 |
|
1418 |
43 |
|
1363 |
44 |
|
1310 |
45 |
|
1260 |
46 |
|
1212 |
47 |
|
1167 |
48 |
|
1123 |
49 |
|
1081 |
50 |
|
1040 |
51 |
|
1002 |
52 |
|
965.0 |
53 |
|
929.6 |
54 |
|
895.8 |
55 |
|
863.3 |
56 |
|
832.2 |
57 |
|
802.3 |
58 |
|
773.7 |
59 |
|
746.3 |
60 |
|
719.9 |
61 |
|
694.7 |
62 |
|
670.4 |
63 |
|
647.1 |
64 |
|
624.7 |
65 |
|
603.3 |
66 |
|
582.6 |
67 |
|
562.8 |
68 |
|
543.7 |
69 |
|
525.4 |
70 |
|
507.8 |
71 |
|
490.9 |
72 |
|
474.7 |
73 |
|
459.0 |
74 |
|
444.0 |
75 |
|
429.5 |
76 |
|
415.6 |
77 |
|
402.2 |
78 |
|
389.3 |
79 |
|
376.9 |
80 |
|
364.9 |
81 |
|
353.4 |
82 |
|
342.2 |
83 |
|
331.5 |
84 |
|
321.2 |
85 |
|
311.3 |
86 |
|
301.7 |
87 |
|
292.4 |
88 |
|
283.5 |
89 |
|
274.9 |
90 |
|
266.6 |
91 |
|
258.6 |
92 |
|
250.9 |
93 |
|
243.4 |
94 |
|
236.2 |
95 |
|
229.3 |
96 |
|
222.6 |
97 |
|
216.1 |
98 |
|
209.8 |
99 |
|
203.8 |
100 |
|
197.9 |
101 |
|
192.2 |
102 |
|
186.8 |
103 |
|
181.5 |
104 |
|
176.4 |
105 |
|
171.4 |
106 |
|
166.7 |
107 |
|
162.0 |
108 |
|
157.6 |
109 |
|
153.2 |
110 |
|
149.0 |
111 |
|
145.0 |
112 |
|
141.1 |
113 |
|
137.2 |
114 |
|
133.6 |
115 |
|
130.0 |
116 |
|
126.5 |
117 |
|
123.2 |
118 |
|
119.9 |
119 |
|
116.8 |
120 |
|
113.8 |
121 |
|
110.8 |
122 |
|
107.9 |
123 |
|
105.2 |
124 |
|
102.5 |
125 |
|
99.9 |
126 |
|
97.3 |
127 |
|
94.9 |
128 |
|
92.5 |
129 |
|
90.2 |
130 |
|
87.9 |
131 |
|
85.7 |
132 |
|
83.6 |
133 |
|
81.6 |
134 |
|
79.6 |
135 |
|
77.6 |
136 |
|
75.8 |
137 |
|
73.9 |
138 |
|
72.2 |
139 |
|
70.4 |
140 |
|
68.8 |
141 |
|
67.1 |
142 |
|
65.5 |
143 |
|
64.0 |
144 |
|
62.5 |
145 |
|
61.1 |
146 |
|
59.6 |
147 |
|
58.3 |
148 |
|
56.8 |
149 |
|
55.6 |
150 |
table 6: 3KΩ Thermistor Resistance
Thermistor Type: US Sensor 103JL1A
Resistance to Temperature Equation:
|
T = |
1 |
– 273.15 |
|
A+B(LnR)+C(LnR)3+D(LnR)5 |
Equation 7: 10KΩ Thermistor Resistance
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 |
|
32650 |
0 |
|
31029 |
1 |
|
29498 |
2 |
|
28052 |
3 |
|
26685 |
4 |
|
25392 |
5 |
|
24170 |
6 |
|
23013 |
7 |
|
21918 |
8 |
|
20882 |
9 |
|
19901 |
10 |
|
18971 |
11 |
|
18090 |
12 |
|
17255 |
13 |
|
16463 |
14 |
|
15712 |
15 |
|
14999 |
16 |
|
14323 |
17 |
|
13681 |
18 |
|
13072 |
19 |
|
12493 |
20 |
|
11942 |
21 |
|
11419 |
22 |
|
10922 |
23 |
|
10450 |
24 |
|
10000 |
25 |
|
9572 |
26 |
|
9165 |
27 |
|
8777 |
28 |
|
8408 |
29 |
|
8057 |
30 |
|
7722 |
31 |
|
7402 |
32 |
|
7098 |
33 |
|
6808 |
34 |
|
6531 |
35 |
|
6267 |
36 |
|
6015 |
37 |
|
5775 |
38 |
|
5545 |
39 |
|
5326 |
40 |
|
5117 |
41 |
|
4917 |
42 |
|
4725 |
43 |
|
4543 |
44 |
|
4368 |
45 |
|
4201 |
46 |
|
4041 |
47 |
|
3888 |
48 |
|
3742 |
49 |
|
3602 |
50 |
|
3468 |
51 |
|
3340 |
52 |
|
3217 |
53 |
|
3099 |
54 |
|
2986 |
55 |
|
2878 |
56 |
|
2774 |
57 |
|
2675 |
58 |
|
2579 |
59 |
|
2488 |
60 |
|
2400 |
61 |
|
2316 |
62 |
|
2235 |
63 |
|
2157 |
64 |
|
2083 |
65 |
|
2011 |
66 |
|
1942 |
67 |
|
1876 |
68 |
|
1813 |
69 |
|
1752 |
70 |
|
1693 |
71 |
|
1637 |
72 |
|
1582 |
73 |
|
1530 |
74 |
|
1480 |
75 |
|
1432 |
76 |
|
1385 |
77 |
|
1340 |
78 |
|
1297 |
79 |
|
1255 |
80 |
|
1215 |
81 |
|
1177 |
82 |
|
1140 |
83 |
|
1104 |
84 |
|
1070 |
85 |
|
1037 |
86 |
|
1005 |
87 |
|
973.8 |
88 |
|
944.1 |
89 |
|
915.5 |
90 |
|
887.8 |
91 |
|
861.2 |
92 |
|
835.4 |
93 |
|
810.6 |
94 |
|
786.6 |
95 |
|
763.5 |
96 |
|
741.2 |
97 |
|
719.6 |
98 |
|
698.7 |
99 |
|
678.6 |
100 |
|
659.1 |
101 |
|
640.3 |
102 |
|
622.2 |
103 |
|
604.6 |
104 |
|
587.6 |
105 |
|
571.2 |
106 |
|
555.3 |
107 |
|
539.9 |
108 |
|
525.0 |
109 |
|
510.6 |
110 |
|
496.7 |
111 |
|
483.2 |
112 |
|
470.1 |
113 |
|
457.5 |
114 |
|
445.3 |
115 |
|
433.4 |
116 |
|
421.9 |
117 |
|
410.8 |
118 |
|
400.0 |
119 |
|
389.6 |
120 |
|
379.4 |
121 |
|
369.6 |
122 |
|
360.1 |
123 |
|
350.9 |
124 |
|
341.9 |
125 |
|
333.2 |
126 |
|
324.8 |
127 |
|
316.6 |
128 |
|
308.7 |
129 |
|
301.0 |
130 |
|
293.5 |
131 |
|
286.3 |
132 |
|
279.2 |
133 |
|
272.4 |
134 |
|
265.8 |
135 |
|
259.3 |
136 |
|
253.1 |
137 |
|
247.0 |
138 |
|
241.1 |
139 |
|
235.3 |
140 |
|
229.7 |
141 |
|
224.3 |
142 |
|
219.0 |
143 |
|
213.9 |
144 |
|
208.9 |
145 |
|
204.1 |
146 |
|
199.4 |
147 |
|
194.8 |
148 |
|
190.3 |
149 |
|
186.1 |
150 |
|
181.9 |
151 |
|
177.7 |
152 |
|
173.7 |
153 |
|
169.8 |
154 |
|
166.0 |
155 |
|
162.3 |
156 |
|
158.6 |
157 |
|
155.1 |
158 |
|
151.7 |
159 |
|
148.4 |
160 |
|
145.1 |
161 |
|
142.0 |
162 |
|
138.9 |
163 |
|
135.9 |
164 |
|
133.0 |
165 |
|
130.1 |
166 |
|
127.3 |
167 |
|
124.6 |
168 |
|
122.0 |
169 |
|
119.4 |
170 |
|
116.9 |
171 |
|
114.5 |
172 |
|
112.1 |
173 |
|
109.8 |
174 |
|
107.5 |
175 |
|
105.3 |
176 |
|
103.2 |
177 |
|
101.1 |
178 |
|
99.0 |
179 |
|
97.0 |
180 |
|
95.1 |
181 |
|
93.2 |
182 |
|
91.3 |
183 |
|
89.5 |
184 |
|
87.7 |
185 |
|
86.0 |
186 |
|
84.3 |
187 |
|
82.7 |
188 |
|
81.1 |
189 |
|
79.5 |
190 |
|
78.0 |
191 |
|
76.5 |
192 |
|
75.0 |
193 |
|
73.6 |
194 |
|
72.2 |
195 |
|
70.8 |
196 |
|
69.5 |
197 |
|
68.2 |
198 |
|
66.9 |
199 |
|
65.7 |
200 |
|
64.4 |
201 |
|
63.3 |
202 |
|
62.1 |
203 |
|
61.0 |
204 |
|
59.9 |
205 |
|
58.8 |
206 |
|
57.7 |
207 |
|
56.7 |
208 |
|
55.7 |
209 |
|
54.7 |
210 |
|
53.7 |
211 |
|
52.7 |
212 |
|
51.8 |
213 |
|
50.9 |
214 |
|
50.0 |
215 |
|
49.1 |
216 |
|
48.3 |
217 |
|
47.4 |
218 |
|
46.6 |
219 |
|
45.8 |
220 |
|
45.0 |
221 |
|
44.3 |
222 |
|
43.5 |
223 |
|
42.8 |
224 |
|
42.1 |
225 |
|
41.4 |
226 |
|
40.7 |
227 |
|
40.0 |
228 |
|
39.3 |
229 |
|
38.7 |
230 |
|
38.0 |
231 |
|
37.4 |
232 |
|
36.8 |
233 |
|
36.2 |
234 |
|
35.6 |
235 |
|
35.1 |
236 |
|
34.5 |
237 |
|
33.9 |
238 |
|
33.4 |
239 |
|
32.9 |
240 |
|
32.3 |
241 |
|
31.8 |
242 |
|
31.3 |
243 |
|
30.8 |
244 |
|
30.4 |
245 |
|
29.9 |
246 |
|
29.4 |
247 |
|
29.0 |
248 |
|
28.5 |
249 |
|
28.1 |
250 |