Two rods of same length having conductivities 60 Wm^-1k^-1, 40 Wm^-1K^-1 and areas 0.2 m², 0.3m² are connected in Parallel to each other. The effective conductivity of the combination is

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50 Wm^-1k^-1

52 Wm^-1k^-1

48 Wm^-1k^-1

45 Wm^-1k^-1

answer is D.

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Detailed Solution

$k_{p} = \frac{k_{1} A_{1} + k_{1} A_{2} + k_{3} A_{3} + . . . . . . .}{A_{1} + A_{2} + A_{3} + . . . . . .} = \frac{60 (0.2) + 40 (0.3)}{0.2 + 0.3} = 48 w / mk$

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