QJEEM22Phecd0: JEE Main 2022 Physics - Class 12 JEEM22Phecd0 Solution: Two metallic wires of identical dimensions are connected in…

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QJEEM22Phecd0: JEE Main 2022 Physics - Class 12 JEEM22Phecd0 Solution: Two metallic wires of identical dimensions are connected in…

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

Multiple Choice Options

A σ1σ2σ1+σ2
B 2σ1σ2σ1+σ2
C σ1+σ22σ1σ2
D σ1+σ2σ1σ2

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Accepted Answer

$R = R_{1} + R_{2}$

$\Rightarrow \frac{l_{1} + l_{2}}{σ A} = \frac{l_{1}}{σ_{1} A} + \frac{l_{2}}{σ_{2} A}$

$\Rightarrow \frac{2}{σ} = \frac{1}{σ_{1}} + \frac{1}{σ_{2}}$

$\Rightarrow σ = \frac{2 σ_{1} σ_{2}}{σ_{1} + σ_{2}}$

QJEEM22Phecd0: JEE Main 2022 Physics - Class 12 JEEM22Phecd0 Solution: Two metallic wires of identical dimensions are connected in…

Multiple Choice Options

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