Solveeit Logo

Question

Question: Two metallic rods are connected in series. Both are of same material of same length and same area of...

Two metallic rods are connected in series. Both are of same material of same length and same area of cross-section. If the conductivity of each rod be k, then what will be the conductivity of the combination ?

A

4 k

B

2 k

C

k

D

k/2

Answer

k

Explanation

Solution

2Lkeq.A\frac{2L}{k_{eq.}A} = LkA\frac{L}{kA} + LkA\frac{L}{kA}

2keq.\frac{2}{k_{eq}.} = 2k\frac{2}{k} Ž keq. = k

For parallel

keq. = k1A1+k2A2A1+A2\frac{k_{1}A_{1} + k_{2}A_{2}}{A_{1} + A_{2}}= k