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

**Last Updated on January 24, 2021**

The image above represents half bridge output voltage of circuit under strained condition.

To compute for half bridge output voltage of circuit under strained condition, three essential parameters are needed and these parameters are **Gauge Factor (G _{F}), Strain (ε) **and

**Input Supply Voltage (v**

_{i}).The formula for calculating half bridge output voltage of circuit under strained condition:

v_{o} = (^{GF} / _{2}) . ε v_{i}

Where:

v_{o} = Half Bridge Circuit Output Voltage

G_{F} = Gauge Factor

ε = Strain

v_{i} = Input Supply Voltage

Let’s solve an example;

Find the half bridge output voltage of circuit when the guage factor is 8, the strain is 4 and the input supply voltage is 2.

This implies that;

G_{F} = Gauge Factor = 8

ε = Strain = 4

v_{i} = Input Supply Voltage = 2

v_{o} = (^{GF} / _{2}) . ε v_{i}

v_{o} = ^{8} / _{2} x 4 x 2

v_{o} = 4 x 4 x 2

v_{o} = 32

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

**Calculating for Guage Factor when the Half Bridge Output Voltage of Circuit, the Strain and the Input Supply Voltage is Given.**

G_{F} = ^{vo x 2} / _{ε . vi}

Where;

G_{F} = Gauge Factor

v_{o} = Half Bridge Circuit Output Voltage

ε = Strain

v_{i} = Input Supply Voltage

Let’s solve an example;

Find the guage 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;

v_{o} = Half Bridge Circuit Output Voltage =10

ε = Strain = 15

v_{i} = Input Supply Voltage = 18

G_{F} = ^{vo x 2} / _{ε . vi}

G_{F} = ^{10 x 2} / _{15 . 18}

G_{F} = ^{20} / _{270}

G_{F} = 0.074

Therefore, the **guage factor **is **0.074.**

**Calculating for Strain when the Half Bridge Output Voltage of Circuit when the Guage Factor and the Input supply Voltage is Given.**

ε = ^{(vo x 2 / GF)} / _{vi}

Where;

ε = Strain

v_{o} = Half Bridge Circuit Output Voltage

G_{F} = Gauge Factor

v_{i} = Input Supply Voltage

Let’s solve an example;

Find the strain when the Half Bridge Circuit Output Voltage is 10, the guage factor is 4 and the input supply voltage is 2.

This implies that;

v_{o} = Half Bridge Circuit Output Voltage = 10

G_{F} = Gauge Factor = 4

v_{i} = Input Supply Voltage = 2

ε = ^{(vo x 2 / GF)} / _{vi}

ε = ^{(10 x 2 / 4)} / _{2}

ε = ^{(20 / 4)} / _{2}

ε = ^{5} / _{2}

ε = 2.5

Therefore, the **strain **is **2.5.**

**Calculating for Input Supply Voltage when the Half Bridge Output Voltage of Circuit, Guage Factor and Strain is Guage.**

v_{i} = ^{(vo x 2 / GF)} / _{ε}

Where;

v_{i} = Input Supply Voltage

v_{o} = Half Bridge Circuit Output Voltage

G_{F} = Gauge Factor

ε = Strain

Let’s solve an example;

Find the input supply voltage when the half bridge output voltage of circuit is 18, the guage factor is 10 and the strain is 7.

This implies that;

v_{o} = Half Bridge Circuit Output Voltage = 18

G_{F} = Gauge Factor = 10

ε = Strain = 7

v_{i} = ^{(vo x 2 / GF)} / _{ε}

v_{i} = ^{(18 x 2 / 10)} / _{7}

v_{i} = ^{(36 / 10)} / _{7}

v_{i} = ^{3.6} / _{7}

v_{i} = 0.514

Therefore, the **input supply **is **0.514.**

Nickzom Calculator – **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 – The Calculator Encyclopedia. **First, you need to obtain the app.

You can get this app via any of these means:

**Web** – https://www.nickzom.org/calculator-plus

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Once, you have obtained the calculator encyclopedia app, proceed to the **Calculator Map, **then click on **Materials and Metallurgical **under **Engineering****.**

Now, Click on **instrumentation **under **Materials and Metallurgical**

Now, Click on **Electrical Strain Guages **under **Instrumentation**

Now, Click on **Half Bridge Output Voltage of Circuit under Strained Condition**** **under **Electrical Strain Guages**

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 (G _{F}), Strain (ε) **and

**Input Supply Voltage (v**

_{i}).Now, enter the values appropriately and accordingly for the parameters as required by the **Gauge Factor (G _{F})** is

**8**,

**Strain (ε)**is

**4**and

**Input Supply Voltage (v**is

_{i})**2**.

Finally, Click on Calculate

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