Question

Poisson’s ratio of a metal is 0.35. Neglecting the piezo resistive effect, the gauge factor of the strain gauge made up of this metal is:

• A. 0.65
• B. 1
• C. 1.35
• D. 1.70

Hint:

Use the formula \( \text{Gauge Factor} = 1 + 2\mu \) for metals when piezoresistive effects are negligible.

Answer 1

The Correct Option is D

To find the gauge factor of a strain gauge made from a metal with a Poisson's ratio of 0.35, we use the formula for the gauge factor (GF):

GF = 1 + 2ν

where ν is the Poisson's ratio.

Substitute the given value of Poisson's ratio (ν = 0.35) into the formula:

GF = 1 + 2(0.35)

Calculate the value:

GF = 1 + 0.70 = 1.70

Thus, the gauge factor of the strain gauge is 1.70.