Question

A semiconductor gauge having resistance of $1000\Omega$ & a gauge factor of -133 is subjected to a compressive strain of 500 micro strain. The new value of resistance (in $\Omega$ ) of the gauge is

• A. 66.5
• B. 1565.5
• C. 1666.5
• D. 1066.5

Answer 1

The correct option is D 1066.5

$\text{For compressive strain}\left(\epsilon \right)=-500\mu$

$\frac{\Delta R}{R}=G_f\epsilon$

$\Delta R=G_f\epsilon R$
$=-133\times -500\times {10}^{-6}\times 1000$
$=66.5\Omega$

$R_{New}=\Delta R+R$
$=66.5+1000$
$R_{New}=1066.5\Omega$