{"id":4779,"date":"2021-01-24T05:05:24","date_gmt":"2021-01-24T04:05:24","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=4779"},"modified":"2024-04-25T17:13:43","modified_gmt":"2024-04-25T16:13:43","slug":"how-to-calculate-and-solve-for-quarter-bridge-output-voltage-of-circuit-under-strained-condition-electrical-strain-guages","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2021\/01\/24\/how-to-calculate-and-solve-for-quarter-bridge-output-voltage-of-circuit-under-strained-condition-electrical-strain-guages\/","title":{"rendered":"How to Calculate and Solve for Quarter Bridge Output Voltage of Circuit under Strained Condition | Electrical Strain Gauges"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents quarter bridge output voltage of circuit under strained condition. To calculate quarter bridge output voltage of circuit under strained condition, three essential parameters are needed and these parameters are Gauge Factor (GF<\/sub>), Strain (\u03b5)\u00a0<\/strong>and\u00a0Input Supply Voltage (vi<\/sub>).<\/strong><\/p>\n

The formula for calculating quarter bridge output voltage of circuit under strained condition:<\/strong><\/h3>\n

vo<\/sub>\u00a0= (GF<\/sub><\/sup>\u00a0\/\u00a04<\/sub>) . \u03b5 vi<\/sub><\/p>\n

Where:<\/p>\n

vo<\/sub> = Quarter Bridge Circuit Output Voltage
\nGF<\/sub>\u00a0= Gauge Factor
\n\u03b5 = Strain
\nvi<\/sub>\u00a0= Input Supply Voltage<\/p>\n

Let\u2019s solve an example;
\nFind the quarter bridge output voltage of the circuit when the gauge factor is 18, the strain is 16, and the input supply voltage is 12.<\/p>\n

This implies that;<\/p>\n

GF<\/sub> = Gauge Factor = 18
\n\u03b5 = Strain = 16
\nvi<\/sub> = Input Supply Voltage = 12<\/p>\n

vo<\/sub>\u00a0= (GF<\/sub><\/sup>\u00a0\/\u00a04<\/sub>) . \u03b5 vi<\/sub>
\nSo, vo<\/sub>\u00a0=\u00a018<\/sup>\u00a0\/\u00a04<\/sub> x 16 x 12
\nvo<\/sub> = 4.5 x 16 x 12
\nvo<\/sub> = 864<\/p>\n

Therefore, the quarter bridge output voltage of circuit <\/strong>is 864 V.<\/strong><\/p>\n

Calculating for Gauge Factor when the Quarter Bridge Output Voltage of Circuit, the Strain and the Input Supply Voltage are Given<\/strong><\/h3>\n

GF<\/sub>\u00a0=\u00a0vo<\/sub>\u00a0x 4<\/sup>\u00a0\/\u00a0\u03b5 . vi<\/sub><\/p>\n

Where;<\/p>\n

GF<\/sub>\u00a0= Gauge Factor
\nvo<\/sub> = Quarter Bridge Circuit Output Voltage
\n\u03b5 = Strain
\nvi<\/sub>\u00a0= Input Supply Voltage<\/p>\n

Let\u2019s solve an example;
\nFind the gauge factor when the quarter bridge output voltage of the circuit is 10, the strain is 15, and the input supply voltage is 18.<\/p>\n

This implies that;<\/p>\n

vo<\/sub> = Quarter Bridge Circuit Output Voltage =10
\n\u03b5 = Strain =\u00a0 15
\nvi<\/sub>\u00a0= Input Supply Voltage = 18<\/p>\n

GF<\/sub>\u00a0=\u00a0vo<\/sub>\u00a0x 4<\/sup>\u00a0\/\u00a0\u03b5 . vi<\/sub>
\nThen, GF<\/sub>\u00a0=\u00a010\u00a0x 4<\/sup>\u00a0\/\u00a015 . 18<\/sub>
\nGF<\/sub>\u00a0=\u00a040<\/sup>\u00a0\/\u00a0270<\/sub>
\nGF<\/sub>\u00a0= 0.148<\/p>\n

Therefore, the\u00a0gauge factor <\/strong>is\u00a00.148.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Half Bridge Output Voltage of Circuit under Strained Condition | Electrical Strain Gauges<\/a><\/p>\n

Calculating for Strain when the Quarter Bridge Output Voltage of Circuit when the Gauge Factor and the Input supply Voltage are Given<\/strong><\/h3>\n

\u03b5 =\u00a0(vo<\/sub>\u00a0x 4\u00a0\/\u00a0GF<\/sub>)<\/sup>\u00a0\/\u00a0vi<\/sub><\/p>\n

Where;<\/p>\n

\u03b5 = Strain
\nvo<\/sub> = Quarter Bridge Circuit Output Voltage
\nGF<\/sub>\u00a0= Gauge Factor
\nvi<\/sub>\u00a0= Input Supply Voltage<\/p>\n

Let\u2019s solve an example;
\nFind the strain when the Quarter Bridge Circuit Output Voltage is 10, the gauge factor is 4, and the input supply voltage is 2.<\/p>\n

This implies that;<\/p>\n

vo<\/sub> = Quarter Bridge Circuit Output Voltage = 10
\nGF<\/sub> = Gauge Factor = 4
\nvi<\/sub> = Input Supply Voltage = 2<\/p>\n

\u03b5 =\u00a0(vo<\/sub>\u00a0x 4\u00a0\/\u00a0GF<\/sub>)<\/sup>\u00a0\/\u00a0vi<\/sub>
\n\u03b5 =\u00a0(10 x 4 \/ 4<\/sub>)<\/sup> \/\u00a02<\/sub>
\nThen, \u03b5 = (40 \/ 4<\/sub>)<\/sup> \/\u00a02<\/sub>
\n\u03b5 = 4<\/sup> \/\u00a02<\/sub>
\n\u03b5 = 2<\/p>\n

Therefore, the\u00a0strain\u00a0<\/strong>is 2.<\/strong><\/p>\n

Calculating for Input Supply Voltage when the Quarter Bridge Output Voltage of Circuit, Gauge Factor and Strain are Gauge<\/strong><\/h3>\n

vi<\/sub>\u00a0=\u00a0(vo<\/sub>\u00a0x 4\u00a0\/\u00a0GF<\/sub>)<\/sup>\u00a0\/\u00a0\u03b5<\/sub><\/p>\n

Where;<\/p>\n

vi<\/sub>\u00a0= Input Supply Voltage
\nvo<\/sub> = Quarter Bridge Circuit Output Voltage
\nGF<\/sub>\u00a0= Gauge Factor
\n\u03b5 = Strain<\/p>\n

Let\u2019s solve an example;
\nFind the input supply voltage when the quarter bridge output voltage of the circuit is 18, the gauge factor is 10, and the strain is 7.<\/p>\n

This implies that;<\/p>\n

vo<\/sub> = Quarter Bridge Circuit Output Voltage = 18
\nGF<\/sub> = Gauge Factor = 10
\n\u03b5 = Strain = 7<\/p>\n

vi<\/sub>\u00a0=\u00a0(vo<\/sub>\u00a0x 4\u00a0\/\u00a0GF<\/sub>)<\/sup>\u00a0\/\u00a0\u03b5<\/sub>
\nvi<\/sub>\u00a0=\u00a0(18\u00a0x 4\u00a0\/\u00a010<\/sub>)<\/sup>\u00a0\/\u00a07<\/sub>
\nThat is, vi<\/sub>\u00a0=\u00a0(72\u00a0\/\u00a010<\/sub>)<\/sup>\u00a0\/\u00a07<\/sub>
\nvi<\/sub>\u00a0=\u00a07.2<\/sup>\u00a0\/\u00a07<\/sub>
\nvi<\/sub>\u00a0= 1.0<\/p>\n

Therefore, the\u00a0input supply\u00a0<\/strong>is\u00a01.0.<\/strong><\/p>\n

How to Calculate Quarter Bridge Output Voltage of Circuit under Strained Condition Using Nickzom Calculator<\/strong><\/h3>\n

Nickzom Calculator \u2013\u00a0The Calculator Encyclopedia<\/strong> is capable of calculating the quarter bridge output voltage of circuit under strained condition.<\/p>\n

To get the answer and workings of the quarter bridge output voltage of circuit under strained 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

So, Click on Electrical Strain Gauges <\/strong>under\u00a0Instrumentation<\/strong><\/p>\n

\"\"<\/p>\n

Now, Click on Quarter Bridge Output Voltage of Circuit under Strained Condition<\/strong>\u00a0<\/strong>under\u00a0Electrical Strain Gauges<\/strong><\/p>\n

\"\"<\/p>\n

The screenshot below displays the page or activity to enter your values, to get the answer for the quarter bridge output voltage of circuit under strained condition according to the respective parameters which is the Gauge Factor (GF<\/sub>), Strain (\u03b5)\u00a0<\/strong>and Input Supply Voltage (vi<\/sub>).<\/strong><\/p>\n

\"How<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the Gauge Factor (GF<\/sub>)<\/strong> is 18<\/strong>, Strain (\u03b5)<\/strong> is 16 <\/strong>and Input Supply Voltage (vi<\/sub>)<\/strong> is 12<\/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 quarter bridge output voltage of circuit under strained condition and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents quarter bridge output voltage of circuit under strained condition. To calculate quarter bridge output…","protected":false},"author":5,"featured_media":14444,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Calculate Quarter Bridge Output Voltage of Circuit under Strained Condition","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Learn the steps and the formula on How to Calculate Quarter Bridge Output Voltage of Circuit under Strained 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