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

Last Updated on April 25, 2024

The image above represents full bridge output voltage of circuit under strained condition. To calculate full 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 full bridge output voltage of circuit under strained condition:

v_o = G_F ε v_i

Where:

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

Let’s solve an example;
Find the full bridge output voltage of circuit when the gauge factor is 7, the strain is 4 and the input supply voltage is 3.

This implies that;

G_F = Gauge Factor = 7
ε = Strain = 4
v_i = Input Supply Voltage = 3

v_o = G_F ε v_i
That is, v_o = 7 x 4 x 3
v_o = 84

Therefore, the full bridge output voltage of circuit is 84 V.

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

G_F = ^v_o / _{ε . vi}

Where;

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

Let’s solve an example;
Find the gauge factor when the full bridge output voltage of circuit is 10, the strain is 5 and the input supply voltage is 8.

This implies that;

v_o = Full Bridge Circuit Output Voltage =10
ε = Strain =  5
v_i = Input Supply Voltage = 8

G_F = ^v_o / _{ε . vi}
Then, G_F = ¹⁰ / _{5 . 8}
G_F = ¹⁰ / ₄₀
G_F = 0.25

Therefore, the gauge factor is 0.25.

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 Full Bridge Output Voltage of Circuit when the Gauge Factor and the Input supply Voltage is Given

ε =  ^v_o / _{GF . vi}

Where;

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

Let’s solve an example;
Find the strain when the Full Bridge Circuit Output Voltage is 20, the gauge factor is 4 and the input supply voltage is 2.

This implies that;

v_o = Full Bridge Circuit Output Voltage = 20
G_F = Gauge Factor = 4
v_i = Input Supply Voltage = 2

ε =  ^v_o / _{GF . vi}
That is, ε = ²⁰ / _{4 . 2}
ε = ²⁰ / ₈
ε = 2.5

Therefore, the strain is 2.5.

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

v_i =  ^v_o / _{GF . ε} 

Where;

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

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

This implies that;

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

v_i =  ^v_o / _{GF . ε} 
That is, v_i = ¹⁸ / _{10 . 7}
v_i = ¹⁸ / ₇₀
v_i = 0.257

Therefore, the input supply is 0.257.

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

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

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

To get the answer and workings of the full bridge output voltage of circuit under strained condition using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.

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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 Full 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 full 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 7, Strain (ε) is 4 and Input Supply Voltage (v_i) is 3.

Finally, Click on Calculate

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