{"id":7762,"date":"2022-08-09T18:21:10","date_gmt":"2022-08-09T17:21:10","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=7762"},"modified":"2024-05-29T21:30:01","modified_gmt":"2024-05-29T20:30:01","slug":"how-to-calculate-and-solve-for-relationship-between-thermal-resistivity-and-temperature-electrical-properties","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2022\/08\/09\/how-to-calculate-and-solve-for-relationship-between-thermal-resistivity-and-temperature-electrical-properties\/","title":{"rendered":"How to Calculate and Solve for Relationship between Thermal Resistivity and Temperature | Electrical Properties"},"content":{"rendered":"

The relationship between thermal resistivity and temperature is illustrated in the image below. To calculate the relationship between thermal resistivity and temperature, three essential parameters are needed and these parameters are Constant of the Metal (a), Constant of the Metal (\u03c1o<\/sub>)<\/strong> and Temperature (T).<\/strong><\/p>\n

\"\"<\/p>\n

The formula for calculating the relationship between thermal resistivity and temperature:<\/strong><\/h3>\n

\u03c1t<\/sub>\u00a0= \u03c1o<\/sub>\u00a0+ aT<\/p>\n

Where:<\/p>\n

\u03c1t<\/sub>\u00a0= Thermal Resistivity
\n\u03c1o<\/sub>\u00a0= Constant of the Metal
\na = Constant of the Metal
\nT = Temperature<\/p>\n

Let’s solve an example;
\nFind the relationship between thermal resistivity and temperature when the constant of the metal is 32, the constant of the metal is 8 and the temperature is 2.<\/p>\n

This implies that;<\/p>\n

\u03c1o<\/sub> = Constant of the Metal = 32
\na = Constant of the Metal = 8
\nT = Temperature = 2<\/p>\n

\u03c1t<\/sub>\u00a0= \u03c1o<\/sub>\u00a0+ aT
\n\u03c1t<\/sub> = 32 + (8)(2)
\nThat is, \u03c1t<\/sub> = 32 + (16)
\n\u03c1t<\/sub> = 48<\/p>\n

Therefore, the relationship between thermal resistivity and temperature\u00a0<\/strong>is\u00a048\u00a0\u03a9m.<\/strong><\/p>\n

Calculating the Constant of the Metal when the Relationship between Thermal Resistivity and Temperature, the Constant of the Metal and the Temperature are Given<\/strong><\/h3>\n

\u03c1o<\/sub> = \u03c1t<\/sub> – aT<\/p>\n

Where:<\/p>\n

\u03c1o<\/sub>\u00a0= Constant of the Metal
\n\u03c1t<\/sub>\u00a0= Thermal Resistivity
\na = Constant of the Metal
\nT = Temperature<\/p>\n

Let’s solve an example;
\nFind the constant of the metal when the thermal resistivity is 32, the constant of the metal is 2 and the temperature is 4.<\/p>\n

This implies that;<\/p>\n

\u03c1t<\/sub> = Thermal Resistivity = 32
\na = Constant of the Metal = 2
\nT = Temperature = 4<\/p>\n

\u03c1o<\/sub> = \u03c1t<\/sub> – aT
\nSo, \u03c1o<\/sub> = 32 – 2(4)
\n\u03c1o<\/sub> = 32 – 8
\n\u03c1o<\/sub> = 24<\/p>\n

Therefore, the\u00a0constant of the metal\u00a0<\/strong>is\u00a024<\/strong>.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Total Resistivity of Metal | Electrical Properties<\/a><\/p>\n

Calculating the Temperature when the Relationship between Thermal Resistivity and Temperature, the Constant of the Metal and the Constant of the Metal are Given<\/strong><\/h3>\n

T = \u03c1t<\/sub> – \u03c1o<\/sub><\/sup> \/ a<\/sub><\/p>\n

Where:<\/p>\n

T = Temperature
\n\u03c1t<\/sub>\u00a0= Thermal Resistivity
\n\u03c1o<\/sub>\u00a0= Constant of the Metal
\na = Constant of the Metal<\/p>\n

Let’s solve an example;
\nFind the temperature when the thermal resistivity is 42, the constant of the metal is 20 and the constant of the metal is 11.<\/p>\n

This implies that;<\/p>\n

\u03c1t<\/sub> = Thermal Resistivity = 42
\n\u03c1o<\/sub> = Constant of the Metal = 20
\na = Constant of the Metal = 11<\/p>\n

T = \u03c1t<\/sub> – \u03c1o<\/sub><\/sup> \/ a<\/sub>
\nT = 42 – 20<\/sup> \/ 11<\/sub>
\nSo, T = 22<\/sup> \/ 11<\/sub>
\nT = 2<\/p>\n

Therefore, the\u00a0temperature\u00a0<\/strong>is\u00a02.<\/strong><\/p>\n

How to Calculate the Relationship between Thermal Resistivity and Temperature Using Nickzom Calculator<\/strong><\/h3>\n

Nickzom Calculator \u2013\u00a0The Calculator Encyclopedia<\/strong> is capable of calculating the relationship between thermal resistivity and temperature.<\/p>\n

\n

To get the answer and workings of the relationship between thermal resistivity and temperature using the Nickzom Calculator \u2013 The Calculator Encyclopedia.\u00a0<\/strong>First, you need to obtain the app.<\/p>\n

You can get this app via any of these means:<\/p>\n

Web<\/strong>\u00a0\u2013\u00a0https:\/\/www.nickzom.org\/calculator-plus<\/a><\/p>\n

To get access to the\u00a0professional\u00a0<\/strong>version via web, you need to\u00a0register<\/strong>\u00a0and\u00a0subscribe\u00a0<\/strong>to have utter access to all functionalities.
\nYou can also try the\u00a0demo\u00a0<\/strong>version via\u00a0https:\/\/www.nickzom.org\/calculator<\/a><\/p>\n

Android (Paid)<\/strong>\u00a0\u2013\u00a0https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator<\/a>
\nAndroid (Free)<\/strong>\u00a0\u2013\u00a0https:\/\/play.google.com\/store\/apps\/details?id=com.nickzom.nickzomcalculator<\/a><\/p>\n

Apple (Paid)<\/strong>\u00a0\u2013\u00a0https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8<\/a>
\nOnce, you have obtained the calculator encyclopedia app, proceed to the\u00a0Calculator Map,\u00a0<\/strong>then click on\u00a0Materials and Metallurgical\u00a0<\/b>under\u00a0Engineering<\/strong>.<\/strong><\/p>\n<\/div>\n

<\/p>\n

Now, Click on Electrical Properities<\/strong>\u00a0<\/b>under\u00a0Materials and Metallurgical<\/strong><\/p>\n

\"\"<\/p>\n

Now, Click on Relationship between Thermal Resistivity and Temperature<\/strong>\u00a0under Electrical Properities<\/b><\/p>\n

\"\"<\/p>\n

The screenshot below displays the page or activity to enter your values, to get the answer for the relationship between thermal resistivity and temperature according to the respective parameter which is the Constant of the Metal (a), Constant of the Metal (\u03c1o<\/sub>)<\/strong> and Temperature (T).<\/strong><\/p>\n

\"How<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the Constant of the Metal (a)<\/strong> is 32<\/strong>, Constant of the Metal (\u03c1o<\/sub>)\u00a0<\/strong>is\u00a08<\/strong> and Temperature (T)<\/strong> is 2<\/strong>.<\/p>\n

\"How<\/p>\n

Finally, Click on Calculate<\/p>\n

\"How<\/p>\n

As you can see from\u00a0the screenshot above,\u00a0Nickzom Calculator<\/strong>\u2013 The Calculator Encyclopedia solves for the relationship between thermal resistivity and temperature and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The relationship between thermal resistivity and temperature is illustrated in the image below. To calculate the relationship between…","protected":false},"author":5,"featured_media":16060,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_opengraph-title":"","_yoast_wpseo_opengraph-description":"","_yoast_wpseo_twitter-title":"","_yoast_wpseo_twitter-description":"","_lmt_disableupdate":"","_lmt_disable":"","_sitemap_exclude":false,"_sitemap_priority":"","_sitemap_frequency":"","_yoast_wpseo_focuskw_text_input":"","csco_display_header_overlay":false,"csco_singular_sidebar":"","csco_page_header_type":"","footnotes":""},"categories":[47],"tags":[2167,2155,60,543,2168,75],"class_list":["post-7762","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-constant-of-the-metal","tag-electrical-properties","tag-engineering","tag-materials-and-metallurgical","tag-relationship-between-thermal-resistivity-and-temperature","tag-temperature","cs-entry"],"yoast_head":"\nHow to 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