GATE 2018 Electrical Engineering Q8

Question

Two resistors with nominal resistance values $R_1$ and $R_2$ have additive uncertainties $\Delta R_1$ and $\Delta R_2$, respectively. When these resistances are connected in parallel, the standard deviation of the error in the equivalent resistance R is

Accepted Answer

1

Answer

$\pm \sqrt{\left\{\frac{\partial R}{\partial R_1}\Delta R_1\right\}^2 + \left\{\frac{\partial R}{\partial R_2}\Delta R_2\right\}^2}$

Answer

$\pm \sqrt{\left\{\frac{\partial R}{\partial R_2}\Delta R_1\right\}^2 + \left\{\frac{\partial R}{\partial R_1}\Delta R_2\right\}^2}$

Answer

$\pm \sqrt{\left\{\frac{\partial R}{\partial R_1}\Delta R_2\right\}^2 + \left\{\frac{\partial R}{\partial R_2}\Delta R_1\right\}^2}$

Answer

$\pm \sqrt{\left\{\frac{\partial R}{\partial R_1}\Delta R_1\right\}^2 + \left\{\frac{\partial R}{\partial R_2}\Delta R_1\right\}^2}$