Two metallic wires of identical dimensions are connected in series. If $\sigma_{1}$ and $\sigma_{2}$ are the conductivities of the these wires respectively, the effective conductivity of the combination is :

Question

$$ \frac{\sigma_{1} \sigma_{2}}{\sigma_{1}+\sigma_{2}} $$

$$ \frac{2 \sigma_{1} \sigma_{2}}{\sigma_{1}+\sigma_{2}} $$

$$ \frac{\sigma_{1}+\sigma_{2}}{2 \sigma_{1} \sigma_{2}} $$

$$ \frac{\sigma_{1}+\sigma_{2}}{\sigma_{1} \sigma_{2}} $$

Solution

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