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Conduction

What is the e...

Question

What is the equivalent conductivity of the combination?

\frac{2}{5} K

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\frac{2}{7} K

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\frac{2}{9} K

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\frac{3 K}{5}

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Solution

The correct option is B $\frac{2}{7} K$
If $K_{e q}$ is the equivalent conductivity since the the conductivities will behave like parallel.
$\frac{1}{K_{e q}} = \frac{1}{2 K} + \frac{1}{K} + \frac{1}{\frac{K}{2}}$
$K_{e q} = \frac{2}{7} K$

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