Question

A metallic strain gauge of gage factor (GF = 2) has a resistance of 350 Ω at zero strain. The strain gauge is originally 1 m in length. Determine the resistance (in Ω) of the gauge when it is strained axially by 1 cm

Answer 1

357 Ω

Step-by-step explanation:

The gage factor is one of the ways of measuring the strain in materials.

(Gage factor) = (fractional change in electrical resistance)/(fractional change in length)

Gage factor = 2

R₀ = 350 Ω

L₀ = 1 m

ΔR = ?

ΔL = 1 cm = 0.01 m

2 = (ΔR/350) ÷ (0.01/1)

(ΔR/350) = 2 × 0.01

ΔR = 350 × 0.02 = 7 Ω

New resistance = R₀ + ΔR = 350 + 7 = 357 Ω

Hope this Helps!!!