When two identical wires made of different materials having resistivity S1 and S2 and conductivities σ1 and σ2 are connected in parallel . Effective conductivity is

S=2S1S2S1+S2⇒1σ=2σ1σ21σ1+1σ2;σp=σ1+σ22

When two identical wires made of different materials having resistivity S1 and S2 and conductivities σ1 and σ2 are connected in parallel . Effective conductivity is

S=2S1S2S1+S2⇒1σ=2σ1σ21σ1+1σ2;σp=σ1+σ22

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When two identical wires made of different materials having resistivity S₁ and S₂ and conductivities $σ_{1} and σ_{2}$ are connected in parallel . Effective conductivity is

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$\frac{σ_{1} + σ_{2}}{2}$

$\frac{σ_{1} - σ_{2}}{2}$

$σ_{1} + σ_{2}$

$σ_{1} - σ_{2}$

answer is A.

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$S = \frac{2 S_{1} S_{2}}{S_{1} + S_{2}} \Rightarrow \frac{1}{σ} = \frac{\frac{2}{σ_{1} σ_{2}}}{\frac{1}{σ_{1}} + \frac{1}{σ_{2}}}; σ_{p} = \frac{σ_{1} + σ_{2}}{2}$

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When two identical wires made of different materials having resistivity S1 and S2 and conductivities σ1 and σ2 are connected in parallel . Effective conductivity is

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When two identical wires made of different materials having resistivity S₁ and S₂ and conductivities $σ_{1} and σ_{2}$ are connected in parallel . Effective conductivity is