{"id":4745,"date":"2021-01-21T04:47:30","date_gmt":"2021-01-21T03:47:30","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=4745"},"modified":"2024-04-24T08:03:44","modified_gmt":"2024-04-24T07:03:44","slug":"how-to-calculate-and-solve-for-resistance-of-a-strain-guage-wire-instrumentation","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2021\/01\/21\/how-to-calculate-and-solve-for-resistance-of-a-strain-guage-wire-instrumentation\/","title":{"rendered":"How to Calculate and Solve for Resistance of a Strain Gauge Wire | Instrumentation"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents the resistance of a strain gauge wire. To calculate the resistance of a strain gauge wire, four essential parameters are needed, and these parameters are the Resistivity of the Strain Gauge Wire (\u03c1), Length of the Strain Gauge Wire (L), Wire Constant (k) and Diameter of Wire (D).\u00a0<\/strong><\/p>\n

The formula for calculating the resistance of a strain gauge wire:<\/strong><\/h3>\n

R =\u00a0\u03c1L<\/sup>\u00a0\/\u00a0kD2<\/sup><\/sub><\/p>\n

Where:<\/p>\n

R = Resistance of a Strain Gauge Wire
\n\u03c1 = Resistivity of the Strain Gauge Wire
\nL = Length of the Strain Gauge Wire
\nk = Wire Constant
\nD = Diameter of Wire<\/p>\n

Let’s solve an example;
\nFind the resistance of a strain gauge wire when the resistivity of the strain gauge wire is 8, the length of the strain gauge wire is 2, the wire constant is 4, and the diameter of the wire is 6.<\/p>\n

This implies that;<\/p>\n

\u03c1 = Resistivity of the Strain Gauge Wire = 8
\nL = Length of the Strain Gauge Wire = 2
\nk = Wire Constant = 4
\nD = Diameter of Wire = 6<\/p>\n

R =\u00a0\u03c1L<\/sup>\u00a0\/\u00a0kD2<\/sup><\/sub>
\nR =\u00a08 x 2<\/sup>\u00a0\/\u00a04 x 62<\/sup><\/sub>
\nSo, R = 16<\/sup>\u00a0\/\u00a04 x 36<\/sub>
\nR =\u00a016<\/sup>\u00a0\/\u00a0144<\/sub>
\nR = 0.11<\/p>\n

Therefore, the\u00a0resistance of the strain gauge wire <\/strong>is 0.11\u00a0<\/strong>\u03a9.<\/strong><\/p>\n

Calculating for the Resistivity of the Strain Gauge Wire when the Resistance of a Strain Gauge Wire, the Length of the Strain Gauge Wire, the Wire Constant and the Diameter of Wire is Given<\/strong><\/h3>\n

\u03c1 = R x kD2<\/sup><\/p>\n

Where;<\/p>\n

\u03c1 = Resistivity of the Strain Gauge Wire
\nR = Resistance of a Strain Gauge Wire
\nL = Length of the Strain Gauge Wire
\nk = Wire Constant
\nD = Diameter of Wire<\/p>\n

Let’s solve an example;
\nFind the resistivity of the strain gauge wire when the resistance of a strain gauge wire is 12, the length of the strain gauge wire is 8, the wire constant is 10, and the diameter of the wire is 4.<\/p>\n

This implies that;<\/p>\n

R = Resistance of a Strain Gauge Wire = 12
\nL = Length of the Strain Gauge Wire = 8
\nk = Wire Constant = 10
\nD = Diameter of Wire = 4<\/p>\n

\u03c1 = R x kD2<\/sup>
\nThen, \u03c1 = 12 x (10)42<\/sup>
\n\u03c1 = 12 x 160
\n\u03c1 = 1920<\/p>\n

Therefore, the\u00a0resistivity of the strain gauge wire <\/strong>is 1920.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Strain Gauge Factor | Instrumentation<\/a><\/p>\n

Calculating the Length of the Strain Gauge Wire when the Resistance of a Strain Gauge Wire, the Resistivity of the Strain Gauge Wire, the Wire Constant and the Diameter of the Wire are Given<\/b><\/h3>\n

L = R x KD2<\/sup><\/sup> \/ \u03c1<\/sub><\/p>\n

Where;<\/p>\n

L = Length of the Strain Gauge Wire
\nR = Resistance of a Strain Gauge Wire
\n\u03c1 = Resistivity of the Strain Gauge Wire
\nk = Wire Constant
\nD = Diameter of Wire<\/p>\n

Let’s solve an example;
\nFind the length of the strain gauge wire when the resistance of a straining wire is 10, the resistivity of the strain gauge wire is 8, the wire constant is 5, and the diameter of the wire is 2.<\/p>\n

This implies that;<\/p>\n

R = Resistance of a Strain Gauge Wire = 10
\n\u03c1 = Resistivity of the Strain Gauge Wire = 8
\nk = Wire Constant = 5
\nD = Diameter of Wire = 2<\/p>\n

L = R x KD2<\/sup><\/sup> \/ \u03c1<\/sub>
\nL = 10 x (5)(22<\/sup>)<\/sup> \/ 8<\/sub>
\nSo, L = 10 x 25<\/sup> \/ 8<\/sub>
\nL = 250<\/sup> \/ 8<\/sub>
\nL = 31.25<\/p>\n

Therefore, the\u00a0length of the strain gauge wire <\/strong>is\u00a031.25.<\/strong><\/p>\n

Calculate the Wire Constant when the Resistance of a Strain Gauge Wire, the Resistivity of the Strain Gauge Wire, the Length of the Strain Gauge Wire and the Diameter of Wire is Given<\/strong><\/h3>\n

K = \u03c1L<\/sup> \/ R x D2<\/sup><\/sub><\/p>\n

Where;<\/p>\n

k = Wire Constant
\nR = Resistance of a Strain Gauge Wire
\n\u03c1 = Resistivity of the Strain Gauge Wire
\nL = Length of the Strain Gauge Wire
\nD = Diameter of Wire<\/p>\n

Let’s solve an example;
\nFind the wire constant when the resistance of a strain gauge wire is 20, the resistivity of the strain gauge wire is 14, the length of the strain gauge wire is 11, and the diameter of the wire is 4.<\/p>\n

This implies that;<\/p>\n

R = Resistance of a Strain Gauge Wire = 20
\n\u03c1 = Resistivity of the Strain Gauge Wire = 14
\nL = Length of the Strain Gauge Wire = 11
\nD = Diameter of Wire = 4<\/p>\n

K = \u03c1L<\/sup> \/ R x D2<\/sup><\/sub>
\nThat is, K = 14 x 11<\/sup> \/ 20 x 42<\/sup><\/sub>
\nK = 154<\/sup> \/ 320<\/sub>
\nK = 0.48<\/p>\n

Therefore, the\u00a0wire constant\u00a0<\/strong>is\u00a00.48.<\/strong><\/p>\n

Calculate the Diameter of Wire when the Resistance of a Strain Gauge Wire, the Resistivity of the Strain Gauge Wire, the Length of the Strain Gauge Wire and the Wire Constant are Given<\/strong><\/h3>\n

D = \u221a\u03c1L<\/sup> \/ R x K<\/sub><\/p>\n

Where;<\/p>\n

D = Diameter of Wire
\nR = Resistance of a Strain Gauge Wire
\n\u03c1 = Resistivity of the Strain Gauge Wire
\nL = Length of the Strain Gauge Wire
\nk = Wire Constant<\/p>\n

Let’s solve an example;
\nFind the diameter of the wire when the resistance of a strain gauge wire is 16, the resistivity of the strain gauge wire is 12, the length of the strain gauge wire is 10, and the wire constant is 13.<\/p>\n

This implies that;<\/p>\n

R = Resistance of a Strain Gauge Wire = 16
\n\u03c1 = Resistivity of the Strain Gauge Wire = 12
\nL = Length of the Strain Gauge Wire = 10
\nk = Wire Constant = 13<\/p>\n

D = \u221a\u03c1L<\/sup> \/ R x K<\/sub>
\nD = \u221a(12)(10)<\/sup> \/ 16 x 13<\/sub>
\nThen, D = \u221a120<\/sup> \/ 208<\/sub>
\nD = \u221a0.576
\nD = 0.758<\/p>\n

Therefore, the\u00a0diameter of wire\u00a0<\/strong>is\u00a00.758.<\/strong><\/p>\n

How to Calculate and Solve for Resistance of a Strain Guage Wire With Nickzom Calculator<\/strong><\/h3>\n

Nickzom Calculator \u2013\u00a0The Calculator Encyclopedia<\/strong> is capable of calculating the resistance of a strain gauge wire.<\/p>\n

To get the answer and workings of the resistance of a strain gauge wire using the Nickzom Calculator \u2013 The Calculator Encyclopedia, <\/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>for\u00a0NGN 2,000\u00a0<\/strong>per\u00a0annum<\/strong>\u00a0to 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>
\nApple (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

\"\"<\/p>\n

Now, Click on\u00a0instrumentation\u00a0<\/strong>under\u00a0Materials and Metallurgical<\/strong><\/p>\n

\"\"<\/p>\n

Now, Click on Resistance of a Strain Gauge Wire<\/strong>\u00a0<\/strong>under\u00a0Instrumentation<\/strong><\/p>\n

\"\"<\/p>\n

The screenshot below displays the page or activity to enter your values, to get the answer for the resistance of a strain gauge wire according to the respective parameters which is the Resistivity of the Strain Gauge Wire (\u03c1), Length of the Strain Gauge Wire (L), Wire Constant (k)\u00a0<\/strong>and\u00a0Diameter of Wire (D).\u00a0<\/strong><\/p>\n

\"\"<\/p>\n

Now, enter the values appropriately and\u00a0accordingly for the parameters as required by the Resistivity of the Strain Gauge Wire (\u03c1)<\/strong> is 8<\/strong>, Length of the Strain Gauge Wire (L)<\/strong> is 2<\/strong>, Wire Constant (k)<\/strong> is 4 <\/strong>and Diameter of Wire (D)<\/strong> is 6<\/strong>.<\/p>\n

\"How<\/p>\n

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

\"How
\n\"How<\/p>\n

As you can see from the screenshot above, Nickzom Calculator\u2013 The Calculator Encyclopedia can calculate the resistance of a strain gauge wire and also presents the formula, workings and steps, too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents the resistance of a strain gauge wire. To calculate the resistance of a strain…","protected":false},"author":5,"featured_media":14415,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Calculate Resistance of a Strain Gauge Wire","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"This is how to Calculate and Solve for Resistance of a Strain Gauge Wire. Nickzom calculator provides step by step workings and accuracy.","_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":[1378,60,1329,1376,543,1379,1375,1377],"class_list":["post-4745","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-diameter-of-wire","tag-engineering","tag-instrumentation","tag-length-of-the-strain-gauge-wire","tag-materials-and-metallurgical","tag-resistance-of-a-strain-guage-wire","tag-resistivity-of-the-strain-gauge-wire","tag-wire-constant","cs-entry"],"yoast_head":"\nHow to Calculate and Solve for Resistance of a Strain Gauge Wire | Instrumentation<\/title>\n<meta name=\"description\" content=\"This is how to Calculate and Solve for Resistance of a Strain Gauge Wire. 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