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A resistance strain gauge experiences 1% change in resistance when subjected to a uniaxial strain of 5000 μm/m. if gauge lactor is assumed as 1.9 then measured value will be
  • a)
    decreased by 5%
  • b)
    increased by 10%
  • c)
    decreased by 10%
  • d)
    increased by 5%
Correct answer is option 'A'. Can you explain this answer?
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A resistance strain gauge experiences 1% change in resistance when sub...

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Explanation:
To solve this problem, we need to use the formula for the change in resistance of a strain gauge:

ΔR/R = k * ε

Where:
ΔR = change in resistance
R = initial resistance
k = gauge factor
ε = strain

Given that the strain is 5000 m/m and the gauge factor is 1.9, we can calculate the change in resistance as follows:

ΔR/R = 1.9 * 5000 m/m = 9500 m/m

This means that the resistance of the strain gauge will increase by 9500 m/m.

To determine the percentage change in resistance, we can use the formula:

Percentage change = (ΔR/R) * 100

Therefore, the percentage change in resistance is:

Percentage change = (9500 m/m / R) * 100

Since the question states that the resistance change is 1%, we can equate the two percentages:

1% = (9500 m/m / R) * 100

Simplifying this equation, we find:

1 = 9500 / R

R = 9500

So, the initial resistance of the strain gauge is 9500 m/m.

Now, let's calculate the measured value:

Measured value = R + ΔR = 9500 m/m + 9500 m/m = 19000 m/m

Finally, let's calculate the percentage change in the measured value:

Percentage change in measured value = ((Measured value - R) / R) * 100

= ((19000 m/m - 9500 m/m) / 9500 m/m) * 100

= 100%

Therefore, the measured value will be increased by 100%.

Since none of the given options match the correct answer, we can conclude that the question is either incorrect or there is a mistake in the options provided.
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A resistance strain gauge experiences 1% change in resistance when subjected to a uniaxial strain of 5000 μm/m. if gauge lactor is assumed as 1.9 then measured value will bea)decreased by 5%b)increased by 10%c)decreased by 10%d)increased by 5%Correct answer is option 'A'. Can you explain this answer?
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