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Question

Two metal wires of identical dimensions are connected in series. If σ1 and σ2 are the conductivities of the metals respectively, the effective conductivity of the combination is


A
σ1+σ2
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B
σ1+σ22
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C
σ1σ2
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D
σ1σ2σ1+σ2
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Solution

The correct option is D σ1σ2σ1+σ2

R=R1+R2ρlA=ρ1lA+ρ2lAρ=ρ1+ρ21σ=1σ1+1σ2σ=σ1σ2σ1+σ2

Physics

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