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

January 24, 2021April 25, 2024 Loveth Idoko

Last Updated on April 25, 2024

The image above represents half bridge output voltage of circuit under strained condition. To calculate 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 = (^G_F / 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 gauge 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 = (^G_F / ₂) . ε v_i
So, 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 Gauge Factor when the Half Bridge Output Voltage of Circuit, the Strain and the Input Supply Voltage are Given

G_F = ^{v_o 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 gauge 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 = ^{v_o x 2} / _{ε . vi}
That is, G_F = ^{10 x 2} / _{15 . 18}
G_F = ²⁰ / ₂₇₀
G_F = 0.074

Therefore, the gauge factor is 0.074.

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

ε = ^{(v_o 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 gauge 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 = ^{(v_o x 2 / _GF)} / _vi
ε = ^{(10 x 2 / ₄)} / ₂
So, 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, Gauge Factor and Strain are Gauge

v_i = ^{(v_o 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 gauge 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 = ^{(v_o x 2 / _GF)} / _ε
v_i = ^{(18 x 2 / ₁₀)} / ₇
Then, v_i = ^{(36 / ₁₀)} / ₇
v_i = ^3.6 / ₇
v_i = 0.514

Therefore, the input supply is 0.514.

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

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:

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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 Gauges under Instrumentation

So, Click on Half 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 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_i) is 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.