How to Calculate and Solve for Ballast Output Voltage of Circuit under Strained Condition | Electrical Strain Gauges
Last Updated on April 24, 2024
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;
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.
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
To get access to the professional version via web, you need to register and subscribe for NGN 2,000 per annum to have utter access to all functionalities.
You can also try the demo version via https://www.nickzom.org/calculator
Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator
Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
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).
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.
Finally, Click on Calculate
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.
