# How to Calculate and Solve for Half Bridge Output Voltage of Circuit under Strained Condition | Electrical Strain Gauges

The image above represents half bridge output voltage of circuit under strained condition. To calculate half bridge output voltage of circuit under strained condition, three essential parameters are needed and these parameters are Gauge Factor (GF), Strain (Îµ)Â andÂ Input Supply Voltage (vi).

### The formula for calculating half bridge output voltage of circuit under strained condition:

voÂ = (GF /Â 2) . Îµ vi

Where:

vo = Half Bridge Circuit Output Voltage
GFÂ = Gauge Factor
Îµ = Strain
viÂ = Input Supply Voltage

Letâ€™s solve an example;
Find the half bridge output voltage of circuit when the gauge factor is 8, the strain is 4 and the input supply voltage is 2.

This implies that;

GF = Gauge Factor = 8
Îµ = Strain = 4
vi = Input Supply Voltage = 2

voÂ = (GF /Â 2) . Îµ vi
So, vo =Â 8 /Â 2 x 4 x 2
vo = 4 x 4 x 2
vo = 32

Therefore, the half bridge output voltage of circuit is 32 V.

### Calculating for Gauge Factor when the Half Bridge Output Voltage of Circuit, the Strain and the Input Supply Voltage are Given

GFÂ =Â vo x 2Â /Â Îµ . vi

Where;

GFÂ = Gauge Factor
vo = Half Bridge Circuit Output Voltage
Îµ = Strain
viÂ = Input Supply Voltage

Letâ€™s solve an example;
Find the gauge factor when the half bridge output voltage of circuit is 10, the strain is 15 and the input supply voltage is 18.

This implies that;

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vo = Half Bridge Circuit Output Voltage =10
Îµ = Strain =Â  15
viÂ = Input Supply Voltage = 18

GFÂ =Â vo x 2Â /Â Îµ . vi
That is, GFÂ =Â 10 x 2Â /Â 15 . 18
GF =Â 20Â /Â 270
GF = 0.074

Therefore, theÂ gauge factor isÂ 0.074.

### Calculating for Strain when the Half Bridge Output Voltage of Circuit when the Gauge Factor and the Input supply Voltage are Given.

Îµ =Â (vo x 2 / GF)Â /Â vi

Where;

Îµ = Strain
vo = Half Bridge Circuit Output Voltage
GFÂ = Gauge Factor
viÂ = Input Supply Voltage

Letâ€™s solve an example;
Find the strain when the Half Bridge Circuit Output Voltage is 10, the gauge factor is 4, and the input supply voltage is 2.

This implies that;

vo = Half Bridge Circuit Output Voltage = 10
GFÂ = Gauge Factor = 4
viÂ = Input Supply Voltage = 2

Îµ =Â (vo x 2 / GF)Â /Â vi
Îµ =Â (10 x 2 / 4)Â /Â 2
So, Îµ = (20 / 4)Â /Â 2
Îµ = 5Â /Â 2
Îµ = 2.5

Therefore, theÂ strainÂ isÂ 2.5.

### Calculating for Input Supply Voltage when the Half Bridge Output Voltage of Circuit, Gauge FactorÂ  and Strain are Gauge

viÂ =Â (vo x 2 / GF)Â /Â Îµ

Where;

viÂ = Input Supply Voltage
vo = Half Bridge Circuit Output Voltage
GFÂ = Gauge Factor
Îµ = Strain

Letâ€™s solve an example;
Find the input supply voltage when the half bridge output voltage of circuit is 18, the gauge factor is 10 and the strain is 7.

This implies that;

vo = Half Bridge Circuit Output Voltage = 18
GFÂ = Gauge Factor = 10
Îµ = Strain = 7

viÂ =Â (vo x 2 / GF)Â /Â Îµ
viÂ =Â (18 x 2 / 10)Â /Â 7
Then, viÂ =Â (36 / 10)Â /Â 7
vi =Â 3.6Â /Â 7
vi = 0.514

Therefore, theÂ input supplyÂ is 0.514.

### How to Calculate Half Bridge Output Voltage of Circuit under Strained Condition | Electrical Strain Gauges

Nickzom Calculator â€“Â The Calculator Encyclopedia is capable of calculating the half bridge output voltage of circuit under strained condition.

To get the answer and workings of the half bridge output voltage of circuit under strained condition using the Nickzom Calculator â€“ The Calculator Encyclopedia.Â First, you need to obtain the app.

You can get this app via any of these means:

To get access to theÂ professionalÂ version via web, you need toÂ registerÂ andÂ subscribeÂ forÂ NGN 2,000Â perÂ annumÂ to have utter access to all functionalities.
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Once, you have obtained the calculator encyclopedia app, proceed to theÂ Calculator Map,Â then click onÂ Materials and MetallurgicalÂ underÂ Engineering.

Now, Click onÂ instrumentationÂ underÂ Materials and Metallurgical

Now, Click onÂ Electrical Strain Gauges underÂ Instrumentation

So, Click on Half Bridge Output Voltage of Circuit under Strained ConditionÂ underÂ Electrical Strain Gauges

The screenshot below displays the page or activity to enter your values, to get the answer for the half bridge output voltage of circuit under strained condition according to the respective parameters which is the Gauge Factor (GF), Strain (Îµ)Â and Input Supply Voltage (vi).

Now, enter the values appropriately and accordingly for the parameters as required by the Gauge Factor (GF) is 8, Strain (Îµ) is 4 and Input Supply Voltage (vi) is 2.

Finally, Click on Calculate

As you can see from the screenshot above,Â Nickzom Calculatorâ€“ The Calculator Encyclopedia solves for the half bridge output voltage of circuit under strained condition and presents the formula, workings and steps too.