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two rods of same length having conductivities 60 Wmk, 40 Wmk and areas 0.2 m*2 ,0.3 m*2 are connected in parallel to each other .The effective conductivity of the combination is


mukeshchawla 13th Jan, 2020
Answer (1)
KUNAL LANJEWAR 13th Jan, 2020

Hello,

We know that,

Equivalent Conductivity for parallel combination is given as,

Keq. = ( K1.A1 + K2.A2 ) / A1 + A2

where, K is the Conductivity and A is the Area

So, from given data, A1 = 0.2 and A2 = 0.3

Also, K1 = 60 and K2 = 40

So, Keq. = [ ( 60 x 0.2 ) + ( 40 x 0.3 ) ] / ( 0.2 + 0.3 )

So, Keq. = 24 / 0.5

So, Keq. = 48 Wmk

Hence, the effective conductivity is 48 Wmk

Best Wishes.

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