{"id":4717,"date":"2021-01-21T01:07:54","date_gmt":"2021-01-21T00:07:54","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=4717"},"modified":"2024-04-24T07:06:05","modified_gmt":"2024-04-24T06:06:05","slug":"how-to-calculate-and-solve-for-potentiometer-output-voltage-reading-under-unloaded-condition-instrumentation","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2021\/01\/21\/how-to-calculate-and-solve-for-potentiometer-output-voltage-reading-under-unloaded-condition-instrumentation\/","title":{"rendered":"How to Calculate and Solve for Potentiometer Output Voltage Reading under Unloaded Condition | Instrumentation"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents potentiometer output voltage reading under unloaded condition. To calculate potentiometer output voltage reading under unloaded condition, three essential parameters are needed and these parameters are Input Displacement (xi<\/sub>), Maximum Possible Displacement (xT<\/sub>)\u00a0<\/strong>and\u00a0Input Voltage (vi<\/sub>).<\/strong><\/p>\n

The formula for calculating potentiometer output voltage reading under unloaded condition:<\/p>\n

vo<\/sub>\u00a0=\u00a0xi<\/sub><\/sup>\u00a0\/\u00a0xT<\/sub>\u00a0. vi<\/sub><\/p>\n

Where:<\/p>\n

vo<\/sub>\u00a0= Potentiometer Output Voltage Reading
\nxi<\/sub>\u00a0= Input Displacement
\nxT<\/sub>\u00a0= Maximum Possible Displacement
\nvi<\/sub>\u00a0= Input Voltage<\/p>\n

Let’s solve an example;
\nFind the potentiometer output voltage reading when the input displacement is 28, the maximum possible displacement is 14 and the input voltage is 7.<\/p>\n

This implies that;<\/p>\n

xi<\/sub> = Input Displacement = 28
\nxT<\/sub> = Maximum Possible Displacement = 14
\nvi<\/sub> = Input Voltage = 7<\/p>\n

vo<\/sub>\u00a0=\u00a0xi<\/sub><\/sup>\u00a0\/\u00a0xT<\/sub>\u00a0. vi<\/sub>
\nThat is, vo<\/sub>\u00a0=\u00a028<\/sup>\u00a0\/\u00a014<\/sub> x 7
\nvo<\/sub> = 2 x 7
\nvo<\/sub> = 14<\/p>\n

Therefore, the potentiometer output voltage reading<\/strong> is 14 V.<\/strong><\/p>\n

Calculating for Input Displacement when the Potentiometer Output Voltage, the Maximum Possible Displacement and the Input Voltage are Given<\/strong><\/h3>\n

xi<\/sub> = vo<\/sub> x xT<\/sub><\/sup> \/ vi<\/sub><\/sub><\/p>\n

Where:<\/p>\n

xi<\/sub>\u00a0= Input Displacement
\nvo<\/sub>\u00a0= Potentiometer Output Voltage Reading
\nxT<\/sub>\u00a0= Maximum Possible Displacement
\nvi<\/sub>\u00a0= Input Voltage<\/p>\n

Let’s solve an example;
\nFind the input displacement when the potentiometer output voltage reading is 5, the maximum possible displacement is 2, and the input voltage is 4.<\/p>\n

This implies that;<\/p>\n

vo<\/sub> = Potentiometer Output Voltage Reading = 5
\nxT<\/sub> = Maximum Possible Displacement = 2
\nvi<\/sub> = Input Voltage = 4<\/p>\n

xi<\/sub> = vo<\/sub> x xT<\/sub><\/sup> \/ vi<\/sub><\/sub>
\nSo, xi<\/sub> = 5 x 2<\/sup> \/ 4<\/sub>
\nxi<\/sub> = 10<\/sup> \/ 4<\/sub>
\nxi<\/sub> = 2.5<\/p>\n

Therefore, the\u00a0input displacement\u00a0<\/strong>is\u00a02.5 V.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Potentiometer Output Voltage of the Circuit under Loaded Condition | Instrumentation<\/a><\/p>\n

Calculating for Maximum Possible Displacement when the Potentiometer Output Voltage, the Input Displacement and the Input Voltage are Given<\/strong><\/h3>\n

xT<\/sub> = vi<\/sub> x xi<\/sub><\/sup> \/ vo<\/sub><\/sub><\/p>\n

Where;<\/p>\n

xT<\/sub>\u00a0= Maximum Possible Displacement
\nvo<\/sub>\u00a0= Potentiometer Output Voltage Reading
\nxi<\/sub>\u00a0= Input Displacement
\nvi<\/sub>\u00a0= Input Voltage<\/p>\n

Let’s solve an example;<\/p>\n

Find the maximum possible displacement when the potentiometer output voltage reading is 10, the input displacement is 8 and the input voltage is 2.<\/p>\n

This implies that;<\/p>\n

vo<\/sub> = Potentiometer Output Voltage Reading = 10
\nxi<\/sub> = Input Displacement = 8
\nvi<\/sub> = Input Voltage = 2<\/p>\n

xT<\/sub> = vi<\/sub> x xi<\/sub><\/sup> \/ vo<\/sub><\/sub>
\nThat is, xT<\/sub> = 2 x 8<\/sup> \/ 10<\/sub>
\nxT<\/sub> = 16<\/sup> \/ 10<\/sub>
\nxT<\/sub> = 1.6<\/p>\n

Therefore, the\u00a0maximum possible displacement\u00a0<\/strong>is\u00a01.6 V.<\/strong><\/p>\n

Calculating for Input Voltage when the Potentiometer Input Displacement and the Maximum Possible Displacement are Given<\/strong><\/h3>\n

vi<\/sub> = vo<\/sub> x xT<\/sub><\/sup> \/ xi<\/sub><\/sub><\/p>\n

Where;<\/p>\n

vi<\/sub>\u00a0= Input Voltage
\nvo<\/sub>\u00a0= Potentiometer Output Voltage Reading
\nxi<\/sub>\u00a0= Input Displacement
\nxT<\/sub> = Maximum Possible Displacement<\/p>\n

Let’s solve an example;
\nFind the input voltage when the potentiometer output voltage reading is 12, the input displacement is 10 and the maximum possible displacement is 6.<\/p>\n

This implies that;<\/p>\n

vo<\/sub> = Potentiometer Output Voltage Reading = 12
\nxi<\/sub> = Input Displacement = 10
\nxT<\/sub> = Maximum Possible Displacement = 6<\/p>\n

vi<\/sub> = vo<\/sub> x xT<\/sub><\/sup> \/ xi<\/sub><\/sub>
\nThat is, vi<\/sub> = 12 x 6<\/sup> \/ 10<\/sub>
\nvi<\/sub> = 72<\/sup> \/ 10<\/sub>
\nvi<\/sub> = 7.2<\/p>\n

Therefore, the\u00a0input voltage\u00a0<\/strong>is\u00a07.2 V.<\/strong><\/p>\n

How to Calculate Potentiometer Output Voltage Reading under Unloaded Condition With Nickzom Calculator<\/strong><\/h3>\n

Nickzom Calculator \u2013\u00a0The Calculator Encyclopedia<\/strong> is capable of calculating the Potentiometer Output Voltage Reading under Unloaded Condition.<\/p>\n

To get the answer and workings of the Potentiometer Output Voltage Reading under Unloaded Condition 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>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 Potentiometer Output Voltage Reading under Unloaded Condition\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 Potentiometer Output Voltage Reading under Unloaded Condition according to the respective parameters which is the Input Displacement (xi<\/sub>), Maximum Possible Displacement (xT<\/sub>)\u00a0<\/strong>and\u00a0Input Voltage (vi<\/sub>).<\/strong><\/p>\n

\"\"<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the Input Displacement (xi<\/sub>)<\/strong> is 28<\/strong>, Maximum Possible Displacement (xT<\/sub>)<\/strong> is 14 <\/strong>and Input Voltage (vi<\/sub>)<\/strong> is 7<\/strong>.<\/p>\n

\"How<\/p>\n

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

\"How<\/p>\n

As you can see from the screenshot above,\u00a0Nickzom Calculator<\/strong>\u2013 The Calculator Encyclopedia solves for the Potentiometer Output Voltage Reading under Unloaded Condition and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents potentiometer output voltage reading under unloaded condition. To calculate potentiometer output voltage reading under…","protected":false},"author":5,"featured_media":14398,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Calculate Potentiometer Output Voltage Reading under Unloaded Condition","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Here are the step by step guide, parameters, and formula on How to Calculate Potentiometer Output Voltage Reading under Unloaded Condition","_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":[60,1363,1365,1329,543,1364,1366],"class_list":["post-4717","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-engineering","tag-input-displacement","tag-input-voltage","tag-instrumentation","tag-materials-and-metallurgical","tag-maximum-possible-displacement","tag-potentiometer-output-voltage-reading-under-unloaded-condition","cs-entry"],"yoast_head":"\nHow to Calculate and Solve for Potentiometer Output Voltage Reading under Unloaded Condition | Instrumentation<\/title>\n<meta name=\"description\" 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