Two metal wires of identical dimension are connected in series. If σ1 and σ2 are the conductivities of the metal wires respectively, the effective conductivity of the combination is [2015]

Question:

Options :

a) σ1+ σ2/2 σ1 σ2
b) σ1+ σ2/σ1 σ2
c)σ1σ2/2 σ1+σ2
d) 2σ1σ2/σ1+σ2

Answer :

d) 2σ1σ2/σ1+σ2

Answer Steps :

Step:-1

Step:-2

Step:-3

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