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Standard X

Physics

Resistance

If σ 1, σ 2...

Question

If $σ_{1}, σ_{2}$ and $σ_{3}$ are conductances of three conductors then their equivalent conductance when they are joined in series will be :-

σ_{1} + σ_{2} + σ_{3}

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\frac{1}{σ_{1}} + \frac{1}{σ_{2}} + \frac{1}{σ_{3}}

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\frac{σ_{1} σ_{2} σ_{3}}{σ_{1} + σ_{2} + σ_{3}}

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None of these

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Solution

The correct option is D None of these
The conductance is the inverse of resistance,i.e. $σ = 1 / R$
In series the equivalent resistance for three resistances is
$R_{e q} = R_{1} + R_{2} + R_{3}$
or $1 / σ_{e q} = 1 / σ_{1} + 1 / σ + 1 / σ_{3}$
or $σ_{e q} = (1 / σ_{1} + 1 / σ_{2} + 1 / σ_{3})^{- 1}$

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If σ1,σ2 and σ3 are conductances of three conductors then their equivalent conductance when they are joined in series will be :-

The correct option is D None of theseThe conductance is the inverse of resistance,i.e. σ=1/RIn series the equivalent resistance for three resistances is Req=R1+R2+R3or 1/σeq=1/σ1+1/σ+1/σ3or σeq=(1/σ1+1/σ2+1/σ3)−1

If $σ_{1}, σ_{2}$ and $σ_{3}$ are conductances of three conductors then their equivalent conductance when they are joined in series will be :-