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

JEE Main 2022 Physics question

Two metallic wires of identical dimensions are connected is series. If and are the conductivities of the these wires respectively, the effective conductivity of the combination is :

(1)
(2)Correct
(3)
(4)

Answer: (2)

Solution

Let each wire have length and area A. In series = , and the equivalent wire has length and area A:

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Question ID VK-035087