Two wires of equal diameters, lengths l 1 , l 2 and having resistivities S 1 , S 2 respectively are joined in series. The equivalent resistivity of the combination is ____

Question

Aicharya · Accepted Answer

Equivalent resistance for series combination is given by

$R = R_{1} + R_{2}$

$\Rightarrow \frac{S l_{total}}{A} = \frac{S_{1} l_{1}}{A} + \frac{S_{2} l_{2}}{A}$

$∴ l_{total} = l_{1} + l_{2}$

$\Rightarrow S = \frac{S_{1} l_{1} + S_{2} l_{2}}{l_{1} + l_{1}}$

Two wires of equal diameters, lengths l 1 , l 2 and having resistivities S 1 , S 2 respectively are joined…

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