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

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 Gauge Factor (GF), Strain (ε) and Input Supply Voltage (vi).

The formula for calculating ballast output voltage of circuit under strained condition:

vo = (GF / 4) . ε vi

Where:

vo = Ballast Circuit Output Voltage
GF = Gauge Factor
ε = Strain
vi = Input Supply Voltage

Let’s solve an example;
Find the ballast output voltage of the circuit when the gauge factor is 14, the strain is 12, and the input supply voltage is 10.

This implies that;

GF = Gauge Factor = 14
ε = Strain = 12
vi = Input Supply Voltage = 10

vo = (GF / 4) . ε vi
So, vo = 14 / 4 x 12 x 10
vo = 3.5 x 12 x 10
vo = 420

Therefore, the ballast output voltage of circuit is 420 V.

Calculating for Guage Factor when the Ballast Output Voltage of Circuit, the Strain and the Input Supply Voltage are Given

GF = vo x 4 / ε . vi

Where;

GF = Gauge Factor
vo = Ballast Circuit Output Voltage
ε = Strain
vi = Input Supply Voltage

Let’s solve an example;
Find the gauge factor when the ballast output voltage of the circuit is 10, the strain is 15, and the input supply voltage is 18.

This implies that;

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vo = Ballast Circuit Output Voltage  10
ε = Strain =  15
vi = Input Supply Voltage = 18

GF = vo x 4 / ε . vi
Then, GF = 10 x 4 / 15 . 18
GF = 40 / 270
GF = 0.148

Therefore, the gauge factor is 0.148.

Read more: How to Calculate and Solve for Ballast Circuit Output Voltage under No Load Condition | Electrical Strain Guages

Calculating for Strain when the Ballast Output Voltage of Circuit when the Gauge Factor and the Input Supply Voltage are Given

ε = (vo x 4 / GF) / vi

Where;

ε = Strain
vo = Ballast Circuit Output Voltage
GF = Gauge Factor
vi = Input Supply Voltage

Let’s solve an example;
Find the strain when the ballast output voltage of the circuit is 14, the gauge factor is 8, and the input supply voltage is 16.

This implies that;

vo = Ballast Circuit Output Voltage = 14
GF = Gauge Factor = 8
vi = Input Supply Voltage = 16

ε = (vo x 4 / GF) / vi
ε = (14 x 4 / 8) / 16
Then, ε = (56 / 8) / 16
ε = 7 / 16
ε = 0.437

Therefore, the strain is 0.437.

Calculating for Input Supply Voltage when the Ballast Output Voltage of Circuit, Gauge Factor, and Strain is Gauge

vi = (vo x 4 / GF) / ε

Where;

vi = Input Supply Voltage
vo = Ballast Circuit Output Voltage
GF = Gauge Factor
ε = Strain

Let’s solve an example;
Find the input supply voltage when the ballast output voltage of the circuit is 18, the gauge factor is 10, and the strain is 7.

This implies that;

vo = Ballast Circuit Output Voltage = 18
GF = Gauge Factor = 10
ε = Strain = 7

vi = (vo x 4 / GF) / ε
vi = (18 x 4 / 10) / 7
So, vi = (72 / 10) / 7
vi = 7.2 / 7
vi = 1.0

Therefore, the input supply is 1.0.

How to Calculate Ballast Output Voltage of Circuit under Strained Condition With Nickzom Calculator

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the ballast output voltage of circuit under strained condition.

To get the answer and workings of the ballast 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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You can also try the demo version via https://www.nickzom.org/calculator

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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

So, Click on Electrical Strain Gauges under Instrumentation

Now, Click on Ballast 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 ballast output voltage of circuit under strained condition according to the respective parameters which is the Gauge Factor (GF), Strain (ε) and Input Supply Voltage (vi).

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

Now, enter the values appropriately and accordingly for the parameters as required by the Gauge Factor (GF) is 14, Strain (ε) is 12 and Input Supply Voltage (vi) is 10.

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

Finally, Click on Calculate

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

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

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