{"id":4729,"date":"2021-01-21T04:31:52","date_gmt":"2021-01-21T03:31:52","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=4729"},"modified":"2024-04-24T07:09:06","modified_gmt":"2024-04-24T06:09:06","slug":"how-to-calculate-and-solve-for-potentiometer-output-voltage-of-the-circuit-under-loaded-condition-instrumentation","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2021\/01\/21\/how-to-calculate-and-solve-for-potentiometer-output-voltage-of-the-circuit-under-loaded-condition-instrumentation\/","title":{"rendered":"How to Calculate and Solve for Potentiometer Output Voltage of the Circuit under Loaded Condition | Instrumentation"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents potentiometer output voltage of the circuit. To calculate potentiometer output voltage of the circuit under loaded condition, five essential parameters are needed and these parameters are Input Displacement (xi<\/sub>), Maximum Possible Displacement (xT<\/sub>), Input Voltage (vi<\/sub>), Maximum Possible Resistance (RT<\/sub>)\u00a0<\/strong>and\u00a0Resistance of the Measuring Device (Rl<\/sub>).<\/strong><\/p>\n

The formula for calculating potentiometer output voltage of the circuit:<\/strong><\/h3>\n

vo<\/sub>\u00a0= vi<\/sub>[xT<\/sub><\/sup>\u00a0\/\u00a0xi<\/sub>\u00a0+\u00a0RT<\/sub><\/sup>\u00a0\/\u00a0Rl<\/sub>(1 –\u00a0xi<\/sub><\/sup>\u00a0\/\u00a0xT<\/sub>)]-1<\/sup><\/p>\n

Where:<\/p>\n

vo<\/sub>\u00a0= Potentiometer Output Voltage of the Circuit
\nxi<\/sub>\u00a0= Input Displacement
\nxT<\/sub>\u00a0= Maximum Possible Displacement
\nvi<\/sub>\u00a0= Input Voltage
\nRT<\/sub>\u00a0= Maximum Possible Resistance
\nRl<\/sub>\u00a0= Resistance of the Measuring Device<\/p>\n

Let’s solve an example;
\nFind the potentiometer output voltage of the circuit when the input displacement is 12, the maximum possible displacement is 6, the input voltage is 11, the maximum possible resistance is 14 and the resistance of the measuring device is 20.<\/p>\n

This implies that;<\/p>\n

xi<\/sub> = Input Displacement = 12
\nxT<\/sub> = Maximum Possible Displacement = 6
\nvi<\/sub> = Input Voltage = 11
\nRT<\/sub> = Maximum Possible Resistance = 14
\nRl<\/sub> = Resistance of the Measuring Device = 20<\/p>\n

vo<\/sub>\u00a0= vi<\/sub>[xT<\/sub><\/sup>\u00a0\/\u00a0xi<\/sub>\u00a0+\u00a0RT<\/sub><\/sup>\u00a0\/\u00a0Rl<\/sub>(1 –\u00a0xi<\/sub><\/sup>\u00a0\/\u00a0xT<\/sub>)]-1<\/sup>
\nvo<\/sub>\u00a0= 11 x [6<\/sup>\u00a0\/\u00a012<\/sub>\u00a0+\u00a014<\/sup>\u00a0\/\u00a020<\/sub>\u00a0x (1 –\u00a012<\/sup>\u00a0\/\u00a06<\/sub>)]-1<\/sup>
\nThat is, vo<\/sub>\u00a0= 11 x [0.5 + 0.7 x (1 – 2)]-1<\/sup>
\nvo<\/sub>\u00a0= 11 x [0.5 + (0.7 x -1)]-1<\/sup>
\nvo<\/sub>\u00a0= 11 x [0.5 + -0.7]-1<\/sup>
\nSo, vo<\/sub> = 11 x [-0.199]-1<\/sup>
\nvo<\/sub> = 11 x -5.00
\nvo<\/sub>\u00a0=\u00a0-55.00<\/b><\/p>\n

Therefore, the\u00a0potentiometer output voltage of the circuit\u00a0<\/strong>is\u00a0-55.00 V.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Potentiometer Output Voltage Reading under Unloaded Condition | Instrumentation<\/a><\/p>\n

How to Calculate Potentiometer Output Voltage of the Circuit under Loaded Condition With Nickzom Calculator<\/strong><\/h3>\n

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

To get the answer and workings of the Potentiometer Output Voltage of the circuit under loaded 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 of the Circuit under loaded Condition <\/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 of the circuit under loaded Condition according to the respective parameters which is the Input Displacement (xi<\/sub>), Maximum Possible Displacement (xT<\/sub>), Input Voltage (vi<\/sub>), Maximum Possible Resistance (RT<\/sub>)\u00a0<\/strong>and\u00a0Resistance of the Measuring Device (Rl<\/sub>).<\/strong><\/p>\n

\"\"<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the \u00a0Input Displacement (xi<\/sub>)<\/strong> is 12<\/strong>, Maximum Possible Displacement (xT<\/sub>)<\/strong> is 6<\/strong>, Input Voltage (vi<\/sub>)<\/strong> is 11<\/strong>, Maximum Possible Resistance (RT<\/sub>)\u00a0<\/strong>is 14 <\/strong>and\u00a0Resistance of the Measuring Device (Rl<\/sub>)<\/strong> is 20<\/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,\u00a0Nickzom Calculator<\/strong>\u2013 The Calculator Encyclopedia solves for the Potentiometer Output Voltage of the circuit under loaded Condition and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents potentiometer output voltage of the circuit. To calculate potentiometer output voltage of the circuit…","protected":false},"author":5,"featured_media":14402,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Calculate Potentiometer Output Voltage of the Circuit under Loaded Condition","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"These are the correct parameters and result on How to Calculate Potentiometer Output Voltage of the Circuit under Loaded 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":[60,1363,1365,1329,543,1364,1367,1369,1368],"class_list":["post-4729","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-maximum-possible-resistance","tag-potentiometer-output-voltage-of-the-circuit-under-loaded-condition","tag-resistance-of-the-measuring-device","cs-entry"],"yoast_head":"\nHow to Calculate and Solve for Potentiometer Output Voltage of 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