{"id":4776,"date":"2021-01-23T23:45:41","date_gmt":"2021-01-23T22:45:41","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=4776"},"modified":"2024-04-24T07:54:54","modified_gmt":"2024-04-24T06:54:54","slug":"how-to-calculate-and-solve-for-ballast-output-voltage-of-circuit-under-strained-condition-electrical-strain-guages","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2021\/01\/23\/how-to-calculate-and-solve-for-ballast-output-voltage-of-circuit-under-strained-condition-electrical-strain-guages\/","title":{"rendered":"How to Calculate and Solve for Ballast Output Voltage of Circuit under Strained Condition | Electrical Strain Gauges"},"content":{"rendered":"<p><img decoding=\"async\" class=\"alignnone size-full wp-image-4784\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/01\/ballast-output-voltage-of-circuit-under-strained-condition.png\" alt=\"\" width=\"251\" height=\"201\" \/><\/p>\n<p>The image above represents ballast output voltage of circuit under strained condition. To calculate ballast output voltage of circuit under strained condition, three essential parameters are needed and these parameters are <strong>Gauge Factor (G<sub>F<\/sub>), Strain (\u03b5)\u00a0<\/strong>and <strong>Input Supply Voltage (v<sub>i<\/sub>).<\/strong><\/p>\n<h3><strong>The formula for calculating ballast output voltage of circuit under strained condition:<\/strong><\/h3>\n<p>v<sub>o<\/sub>\u00a0= (<sup>G<sub>F<\/sub><\/sup>\u00a0\/\u00a0<sub>4<\/sub>) . \u03b5 v<sub>i<\/sub><\/p>\n<p>Where:<\/p>\n<p>v<sub>o<\/sub>\u00a0= Ballast Circuit Output Voltage<br \/>\nG<sub>F<\/sub>\u00a0= Gauge Factor<br \/>\n\u03b5 = Strain<br \/>\nv<sub>i<\/sub>\u00a0= Input Supply Voltage<\/p>\n<p>Let&#8217;s solve an example;<br \/>\nFind the ballast output voltage of the circuit when the gauge factor is 14, the strain is 12, and the input supply voltage is 10.<\/p>\n<p>This implies that;<\/p>\n<p>G<sub>F<\/sub> = Gauge Factor = 14<br \/>\n\u03b5 = Strain = 12<br \/>\nv<sub>i<\/sub> = Input Supply Voltage = 10<\/p>\n<p>v<sub>o<\/sub>\u00a0= (<sup>G<sub>F<\/sub><\/sup>\u00a0\/\u00a0<sub>4<\/sub>) . \u03b5 v<sub>i<\/sub><br \/>\nSo, v<sub>o<\/sub>\u00a0=\u00a0<sup>14<\/sup>\u00a0\/\u00a0<sub>4<\/sub> x 12 x 10<br \/>\nv<sub>o<\/sub> = 3.5 x 12 x 10<br \/>\nv<sub>o<\/sub> = 420<\/p>\n<p>Therefore, the\u00a0<strong>ballast output voltage of circuit\u00a0<\/strong>is\u00a0<strong>420 V.<\/strong><\/p>\n<h3><strong>Calculating for Guage Factor when the Ballast Output Voltage of Circuit, the Strain and the Input Supply Voltage are Given<\/strong><\/h3>\n<p>G<sub>F<\/sub> = <sup>v<sub>o<\/sub>\u00a0x 4<\/sup> \/ <sub>\u03b5 . v<sub>i<\/sub><\/sub><\/p>\n<p>Where;<\/p>\n<p>G<sub>F<\/sub>\u00a0= Gauge Factor<br \/>\nv<sub>o<\/sub>\u00a0= Ballast Circuit Output Voltage<br \/>\n\u03b5 = Strain<br \/>\nv<sub>i<\/sub>\u00a0= Input Supply Voltage<\/p>\n<p>Let&#8217;s solve an example;<br \/>\nFind the gauge factor when the ballast output voltage of the circuit is 10, the strain is 15, and the input supply voltage is 18.<\/p>\n<p>This implies that;<\/p>\n<p>v<sub>o<\/sub> = Ballast Circuit Output Voltage\u00a0 10<br \/>\n\u03b5 = Strain =\u00a0 15<br \/>\nv<sub>i<\/sub> = Input Supply Voltage = 18<\/p>\n<p>G<sub>F<\/sub> = <sup>v<sub>o<\/sub>\u00a0x 4<\/sup> \/ <sub>\u03b5 . v<sub>i<\/sub><\/sub><br \/>\nThen, G<sub>F<\/sub> = <sup>10\u00a0x 4<\/sup> \/ <sub>15 . 18<\/sub><br \/>\nG<sub>F<\/sub> = <sup>40<\/sup> \/ <sub>270<\/sub><br \/>\nG<sub>F<\/sub> = 0.148<\/p>\n<p>Therefore, the\u00a0<strong>gauge factor <\/strong>is\u00a0<strong>0.148.<\/strong><\/p>\n<p>Read more:\u00a0<a href=\"https:\/\/www.nickzom.org\/blog\/2021\/01\/23\/how-to-calculate-and-solve-for-ballast-circuit-output-voltage-under-no-load-condition-electrical-strain-guages\/\">How to Calculate and Solve for Ballast Circuit Output Voltage under No Load Condition | Electrical Strain Guages<\/a><\/p>\n<h3><strong>Calculating for Strain when the Ballast Output Voltage of Circuit when the Gauge Factor and the Input Supply Voltage are Given<\/strong><\/h3>\n<p>\u03b5 = <sup>(<sup>v<sub>o<\/sub>\u00a0x 4<\/sup> \/ <sub>G<sub>F<\/sub><\/sub>)<\/sup> \/ <sub>v<sub>i<\/sub><\/sub><\/p>\n<p>Where;<\/p>\n<p>\u03b5 = Strain<br \/>\nv<sub>o<\/sub>\u00a0= Ballast Circuit Output Voltage<br \/>\nG<sub>F<\/sub>\u00a0= Gauge Factor<br \/>\nv<sub>i<\/sub>\u00a0= Input Supply Voltage<\/p>\n<p>Let&#8217;s solve an example;<br \/>\nFind the strain when the ballast output voltage of the circuit is 14, the gauge factor is 8, and the input supply voltage is 16.<\/p>\n<p>This implies that;<\/p>\n<p>v<sub>o<\/sub> = Ballast Circuit Output Voltage = 14<br \/>\nG<sub>F<\/sub> = Gauge Factor = 8<br \/>\nv<sub>i<\/sub> = Input Supply Voltage = 16<\/p>\n<p>\u03b5 = <sup>(<sup>v<sub>o<\/sub>\u00a0x 4<\/sup> \/ <sub>G<sub>F<\/sub><\/sub>)<\/sup> \/ <sub>v<sub>i<\/sub><\/sub><br \/>\n\u03b5 = <sup>(<sup>14\u00a0x 4<\/sup> \/ <sub>8<\/sub>)<\/sup> \/ <sub>16<\/sub><br \/>\nThen, \u03b5 = <sup>(<sup>56<\/sup> \/ <sub>8<\/sub>)<\/sup> \/ <sub>16<\/sub><br \/>\n\u03b5 = <sup>7<\/sup> \/ <sub>16<\/sub><br \/>\n\u03b5 = 0.437<\/p>\n<p>Therefore, the\u00a0<strong>strain\u00a0<\/strong>is\u00a0<strong>0.437.<\/strong><\/p>\n<h3><strong>Calculating for Input Supply Voltage when the Ballast Output Voltage of Circuit, Gauge Factor, and Strain is Gauge<\/strong><\/h3>\n<p>v<sub>i<\/sub> = <sup>(<sup>v<sub>o<\/sub>\u00a0x 4<\/sup> \/ <sub>G<sub>F<\/sub><\/sub>)<\/sup> \/ <sub>\u03b5<\/sub><\/p>\n<p>Where;<\/p>\n<p>v<sub>i<\/sub>\u00a0= Input Supply Voltage<br \/>\nv<sub>o<\/sub>\u00a0= Ballast Circuit Output Voltage<br \/>\nG<sub>F<\/sub>\u00a0= Gauge Factor<br \/>\n\u03b5 = Strain<\/p>\n<p>Let&#8217;s solve an example;<br \/>\nFind the input supply voltage when the ballast output voltage of the circuit is 18, the gauge factor is 10, and the strain is 7.<\/p>\n<p>This implies that;<\/p>\n<p>v<sub>o<\/sub>\u00a0= Ballast Circuit Output Voltage = 18<br \/>\nG<sub>F<\/sub>\u00a0= Gauge Factor = 10<br \/>\n\u03b5 = Strain = 7<\/p>\n<p>v<sub>i<\/sub> = <sup>(<sup>v<sub>o<\/sub>\u00a0x 4<\/sup> \/ <sub>G<sub>F<\/sub><\/sub>)<\/sup> \/ <sub>\u03b5<\/sub><br \/>\nv<sub>i<\/sub> = <sup>(<sup>18\u00a0x 4<\/sup> \/ <sub>10<\/sub>)<\/sup> \/ <sub>7<\/sub><br \/>\nSo, v<sub>i<\/sub> = <sup>(<sup>72<\/sup> \/ <sub>10<\/sub>)<\/sup> \/ <sub>7<\/sub><br \/>\nv<sub>i<\/sub> = <sup>7.2<\/sup> \/ <sub>7<\/sub><br \/>\nv<sub>i<\/sub> = 1.0<\/p>\n<p>Therefore, the\u00a0<strong>input supply\u00a0<\/strong>is\u00a0<strong>1.0.<\/strong><\/p>\n<h3><strong>How to Calculate Ballast Output Voltage of Circuit under Strained Condition With Nickzom Calculator<\/strong><\/h3>\n<p>Nickzom Calculator \u2013\u00a0<strong>The Calculator Encyclopedia<\/strong> is capable of calculating the ballast output voltage of circuit under strained condition.<\/p>\n<p>To get the answer and workings of the ballast output voltage of circuit under strained condition using the <strong>Nickzom Calculator \u2013 The Calculator Encyclopedia.\u00a0<\/strong>First, you need to obtain the app.<\/p>\n<p>You can get this app via any of these means:<\/p>\n<p><strong>Web<\/strong>\u00a0\u2013\u00a0<a href=\"https:\/\/www.nickzom.org\/calculator-plus\">https:\/\/www.nickzom.org\/calculator-plus<\/a><\/p>\n<p>To get access to the\u00a0<strong>professional\u00a0<\/strong>version via web, you need to\u00a0<strong>register<\/strong>\u00a0and\u00a0<strong>subscribe\u00a0<\/strong>for<strong>\u00a0NGN 2,000\u00a0<\/strong>per<strong>\u00a0annum<\/strong>\u00a0to have utter access to all functionalities.<br \/>\nYou can also try the\u00a0<strong>demo\u00a0<\/strong>version via\u00a0<a href=\"https:\/\/www.nickzom.org\/calculator\">https:\/\/www.nickzom.org\/calculator<\/a><\/p>\n<p><strong>Android (Paid)<\/strong>\u00a0\u2013\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator\">https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator<\/a><br \/>\n<strong>Android (Free)<\/strong>\u00a0\u2013\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=com.nickzom.nickzomcalculator\">https:\/\/play.google.com\/store\/apps\/details?id=com.nickzom.nickzomcalculator<\/a><br \/>\n<strong>Apple (Paid)<\/strong>\u00a0\u2013\u00a0<a href=\"https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8\">https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8<\/a><br \/>\nOnce, you have obtained the calculator encyclopedia app, proceed to the\u00a0<strong>Calculator Map,\u00a0<\/strong>then click on\u00a0<b>Materials and Metallurgical\u00a0<\/b>under\u00a0<strong>Engineering<\/strong><strong>.<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-4494 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/01\/Screenshot-3.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/01\/Screenshot-3.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/01\/Screenshot-3-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/01\/Screenshot-3-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/01\/Screenshot-3-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>Now, Click on\u00a0<strong>instrumentation\u00a0<\/strong>under\u00a0<strong>Materials and Metallurgical<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-4495 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/01\/Screenshot-4.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/01\/Screenshot-4.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/01\/Screenshot-4-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/01\/Screenshot-4-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/01\/Screenshot-4-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>So, Click on <strong>Electrical Strain Gauges <\/strong>under\u00a0<strong>Instrumentation<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-4768 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/01\/Screenshot-13-2.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/01\/Screenshot-13-2.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/01\/Screenshot-13-2-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/01\/Screenshot-13-2-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/01\/Screenshot-13-2-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>Now, Click on\u00a0<strong>Ballast Output Voltage of Circuit under Strained Condition<\/strong><strong>\u00a0<\/strong>under\u00a0<strong>Electrical Strain Guages<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-4780 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/01\/Screenshot-19-1.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/01\/Screenshot-19-1.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/01\/Screenshot-19-1-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/01\/Screenshot-19-1-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/01\/Screenshot-19-1-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>The screenshot below displays the page or activity to enter your values, to get the answer for the ballast output voltage of circuit under strained condition according to the respective parameters which is the <strong>Gauge Factor (G<sub>F<\/sub>), Strain (\u03b5)\u00a0<\/strong>and <strong>Input Supply Voltage (v<sub>i<\/sub>).<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-4781 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/01\/Screenshot-20-1.png\" alt=\"How to Calculate and Solve for Ballast Output Voltage of Circuit under Strained Condition | Electrical Strain Gauges\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/01\/Screenshot-20-1.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/01\/Screenshot-20-1-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/01\/Screenshot-20-1-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/01\/Screenshot-20-1-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>Now, enter the values appropriately and accordingly for the parameters as required by the <strong>Gauge Factor (G<sub>F<\/sub>)<\/strong> is <strong>14<\/strong>,<strong> Strain (\u03b5)<\/strong> is <strong>12 <\/strong>and <strong>Input Supply Voltage (v<sub>i<\/sub>)<\/strong> is <strong>10<\/strong>.<\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-4782 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/01\/Screenshot-21-1.png\" alt=\"How to Calculate and Solve for Ballast Output Voltage of Circuit under Strained Condition | Electrical Strain Gauges\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/01\/Screenshot-21-1.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/01\/Screenshot-21-1-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/01\/Screenshot-21-1-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/01\/Screenshot-21-1-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>Finally, Click on Calculate<\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-4783 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/01\/Screenshot-22-1.png\" alt=\"How to Calculate and Solve for Ballast Output Voltage of Circuit under Strained Condition | Electrical Strain Gauges\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/01\/Screenshot-22-1.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/01\/Screenshot-22-1-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/01\/Screenshot-22-1-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/01\/Screenshot-22-1-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>As you can see from the screenshot above, Nickzom Calculator\u2013 The Calculator Encyclopedia solves for the ballast output voltage of a circuit under strained conditions and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents ballast output voltage of circuit under strained condition. To calculate ballast output voltage of&hellip;","protected":false},"author":5,"featured_media":14417,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Calculate Ballast Output Voltage of Circuit under Strained Condition","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"This is How to Calculate and Solve for Ballast Output Voltage of Circuit under Strained Condition in Electrical Strain Gauges","_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":[1387,1384,60,1385,1382,1329,543,1386],"class_list":["post-4776","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-ballast-output","tag-electrical-strain-guages","tag-engineering","tag-guage-factor","tag-input-supply-voltage","tag-instrumentation","tag-materials-and-metallurgical","tag-strain","cs-entry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.6 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>How to Calculate and Solve for Ballast Output Voltage of Circuit 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