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
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.