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Question

Two conductors have the same resistances at $0^{\circ} \mathrm{C}$ but their temperature coefficients of resistance are $\alpha_1$ and $\alpha_2$. The respective temperature coefficients for their series and parallel combinations are :

$\alpha_1+\alpha_2, \frac{\alpha_1 \alpha_2}{\alpha_1+\alpha_2}$
$\frac{\alpha_1+\alpha_2}{2}, \frac{\alpha_1+\alpha_2}{2}$
$\alpha_1+\alpha_2, \frac{\alpha_1+\alpha_2}{2}$
$\frac{\alpha_1+\alpha_2}{2}, \alpha_1+\alpha_2$

Solution

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