{"id":3243,"date":"2023-05-02T06:36:16","date_gmt":"2023-05-02T06:36:16","guid":{"rendered":"https:\/\/thermibel.be\/faq\/how-do-you-convert-temperature-to-voltage\/"},"modified":"2023-06-27T12:11:05","modified_gmt":"2023-06-27T12:11:05","slug":"how-do-you-convert-temperature-to-voltage","status":"publish","type":"faq","link":"https:\/\/thermibel.be\/en\/faq\/how-do-you-convert-temperature-to-voltage\/","title":{"rendered":"How do you convert temperature to voltage?"},"content":{"rendered":"\n<p>This is in a sense the reciprocal or converse function of the equation for converting voltage to temperature:<\/p>\n\n\n\n<p>For all types of thermocouples (except K at t&gt;0\u00b0C), we have:<\/p>\n\n\n\n<p>$$ V(mV) = \\mathop \\sum \\limits_{i = 0}^n {\\left( {{t_{90}}} \\right)^i} $$<\/p>\n\n\n\n<p>For type K thermocouples at temperatures above 0\u00b0C, we have:<\/p>\n\n\n\n<p>$$ T\\left( {^\\circ C} \\right) = {T_{inf}}\\left( {^\\circ C} \\right) + \\frac{{V &#8211; {V_{inf}}}}{{{V_{sup}} &#8211; {V_{inf}}}} $$<\/p>\n\n\n\n<p>Ci = Coefficients from C0 to Cn<\/p>\n\n\n\n<p>t90 = Temperature of the thermocouple in \u00b0C<\/p>\n\n\n\n<p>a0 to a2 = Specific coefficients of exponentiation only for type K thermocouples and temperatures above 0 \u00b0C<\/p>\n\n\n\n<p>e= natural logarithm constant: 2.71828&#8230;<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\" colspan=\"3\"><strong>Example of coefficients for type K thermocouples<\/strong><\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>Temperature (\u00b0C)<\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\">-270 to 0<\/td><td class=\"has-text-align-center\" data-align=\"center\">0 to 1372<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>c<sub>0<\/sub><\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\">0<\/td><td class=\"has-text-align-center\" data-align=\"center\">-0.176004136860e-1<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>c<sub>1<\/sub><\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\">0.394501280250e-1<\/td><td class=\"has-text-align-center\" data-align=\"center\">0.389212049750e-1<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>c<sub>2<\/sub><\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\">0.236223735980e-4<\/td><td class=\"has-text-align-center\" data-align=\"center\">0.185587700320e-4<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>c<sub>3<\/sub><\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\">-0.328589067840e-6<\/td><td class=\"has-text-align-center\" data-align=\"center\">-0.994575928740e-7<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>c<sub>4<\/sub><\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\">-0.499048287770e-8<\/td><td class=\"has-text-align-center\" data-align=\"center\">0.318409457190e-9<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>c<sub>5<\/sub><\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\">-0.675090591730e-10<\/td><td class=\"has-text-align-center\" data-align=\"center\">-0.560728448890e-12<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>c<sub>6<\/sub><\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\">-0.574103274280e-12<\/td><td class=\"has-text-align-center\" data-align=\"center\">0.560750590590e-15<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>c<sub>7<\/sub><\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\">-0.310888728940e-14<\/td><td class=\"has-text-align-center\" data-align=\"center\">-0.320207200030e-18<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>c<sub>8<\/sub><\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\">-0.104516093650e-16<\/td><td class=\"has-text-align-center\" data-align=\"center\">0.971511471520e-22<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>c<sub>9<\/sub><\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\">-0.198892668780e-19<\/td><td class=\"has-text-align-center\" data-align=\"center\">-0.121047212750e-25<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>c<sub>10<\/sub><\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\">-0.163226974860e-22<\/td><td class=\"has-text-align-center\" data-align=\"center\">&nbsp;<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\" colspan=\"3\"><strong>Exponential coefficients for temperatures above 0 \u00b0C<\/strong><\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>a<sub>0<\/sub><\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\" colspan=\"2\">0.1185976<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>a<sub>1<\/sub><\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\" colspan=\"2\">-0.1183432e-3<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\"><strong>a<sub>2<\/sub><\/strong><\/td><td class=\"has-text-align-center\" data-align=\"center\" colspan=\"2\">0.1269686e+3<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-text-align-center\"><br><strong>VOLTAGE OF DIFFERENT THERMOCOUPLES FOR A TEMPERATURE OF 350 \u00b0C<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\" colspan=\"4\"><strong>Voltage calculated in mV<\/strong><\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">Type<\/td><td class=\"has-text-align-center\" data-align=\"center\">By ITS-90 table<\/td><td class=\"has-text-align-center\" data-align=\"center\">Voltage<\/td><td class=\"has-text-align-center\" data-align=\"center\">Difference in %<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">B<\/td><td class=\"has-text-align-center\" data-align=\"center\">  0,596<\/td><td class=\"has-text-align-center\" data-align=\"center\">  0,596<\/td><td class=\"has-text-align-center\" data-align=\"center\">-0,018<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">E<\/td><td class=\"has-text-align-center\" data-align=\"center\">24,964<\/td><td class=\"has-text-align-center\" data-align=\"center\">24,964<\/td><td class=\"has-text-align-center\" data-align=\"center\">0,001<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">J<\/td><td class=\"has-text-align-center\" data-align=\"center\">19,090<\/td><td class=\"has-text-align-center\" data-align=\"center\">19,090<\/td><td class=\"has-text-align-center\" data-align=\"center\">0,002<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">K<\/td><td class=\"has-text-align-center\" data-align=\"center\">14,293<\/td><td class=\"has-text-align-center\" data-align=\"center\">14,293<\/td><td class=\"has-text-align-center\" data-align=\"center\">0,001<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">N<\/td><td class=\"has-text-align-center\" data-align=\"center\">11,136<\/td><td class=\"has-text-align-center\" data-align=\"center\">11,136<\/td><td class=\"has-text-align-center\" data-align=\"center\">0,002<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">R<\/td><td class=\"has-text-align-center\" data-align=\"center\">  2,896<\/td><td class=\"has-text-align-center\" data-align=\"center\">  2,896<\/td><td class=\"has-text-align-center\" data-align=\"center\">0,007<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">S<\/td><td class=\"has-text-align-center\" data-align=\"center\">  2,786<\/td><td class=\"has-text-align-center\" data-align=\"center\">  2,786<\/td><td class=\"has-text-align-center\" data-align=\"center\">-0,008<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">T<\/td><td class=\"has-text-align-center\" data-align=\"center\">17,819<\/td><td class=\"has-text-align-center\" data-align=\"center\">17,819<\/td><td class=\"has-text-align-center\" data-align=\"center\">-0,002<\/td><\/tr><\/tbody><\/table><\/figure>\n","protected":false},"featured_media":0,"template":"","format":"standard","class_list":["post-3243","faq","type-faq","status-publish","format-standard","hentry"],"acf":[],"aioseo_notices":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.9 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>How do you convert temperature to voltage? - Thermibel<\/title>\n<meta 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