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

Last Updated on April 25, 2024

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 (G_F), Strain (ε) and Input Supply Voltage (v_i).

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

v_o = (^G_F / ₄) . ε v_i

Where:

v_o = Quarter Bridge Circuit Output Voltage
G_F = Gauge Factor
ε = Strain
v_i = Input Supply Voltage

Let’s solve an example;
Find 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.

This implies that;

G_F = Gauge Factor = 18
ε = Strain = 16
v_i = Input Supply Voltage = 12

v_o = (^G_F / ₄) . ε v_i
So, v_o = ¹⁸ / ₄ x 16 x 12
v_o = 4.5 x 16 x 12
v_o = 864

Therefore, the quarter bridge output voltage of circuit is 864 V.

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

G_F = ^{v_o x 4} / _{ε . vi}

Where;

G_F = Gauge Factor
v_o = Quarter Bridge Circuit Output Voltage
ε = Strain
v_i = Input Supply Voltage

Let’s solve an example;
Find 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.

This implies that;

v_o = Quarter Bridge Circuit Output Voltage =10
ε = Strain =  15
v_i = Input Supply Voltage = 18

G_F = ^{v_o x 4} / _{ε . vi}
Then, G_F = ^{10 x 4} / _{15 . 18}
G_F = ⁴⁰ / ₂₇₀
G_F = 0.148

Therefore, the gauge factor is 0.148.

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

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

ε = ^{(v_o x 4 / _GF)} / _vi

Where;

ε = Strain
v_o = Quarter Bridge Circuit Output Voltage
G_F = Gauge Factor
v_i = Input Supply Voltage

Let’s solve an example;
Find the strain when the Quarter Bridge Circuit Output Voltage is 10, the gauge factor is 4, and the input supply voltage is 2.

This implies that;

v_o = Quarter Bridge Circuit Output Voltage = 10
G_F = Gauge Factor = 4
v_i = Input Supply Voltage = 2

ε = ^{(v_o x 4 / _GF)} / _vi
ε = ^{(10 x 4 / ₄)} / ₂
Then, ε = ^{(40 / ₄)} / ₂
ε = ⁴ / ₂
ε = 2

Therefore, the strain is 2.

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

v_i = ^{(v_o x 4 / _GF)} / _ε

Where;

v_i = Input Supply Voltage
v_o = Quarter Bridge Circuit Output Voltage
G_F = Gauge Factor
ε = Strain

Let’s solve an example;
Find 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.

This implies that;

v_o = Quarter Bridge Circuit Output Voltage = 18
G_F = Gauge Factor = 10
ε = Strain = 7

v_i = ^{(v_o x 4 / _GF)} / _ε
v_i = ^{(18 x 4 / ₁₀)} / ₇
That is, v_i = ^{(72 / ₁₀)} / ₇
v_i = ^7.2 / ₇
v_i = 1.0

Therefore, the input supply is 1.0.

How to Calculate Quarter Bridge Output Voltage of Circuit under Strained Condition Using Nickzom Calculator

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

To get the answer and workings of the quarter 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

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 Quarter Bridge Output Voltage of Circuit under Strained Condition under Electrical Strain Gauges

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 (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 18, Strain (ε) is 16 and Input Supply Voltage (v_i) is 12.

Finally, Click on Calculate

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