Two wires of equal diameters, of resistivities \( \rho_{1} \) and \( \rho_{2} \) and lengths \( ...

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Two wires of equal diameters, of resistivities \( \rho_{1} \) and \( \rho_{2} \) and lengths \( l_{1} \) and \( l_{2} \), respectively, are joined in series. The equivalent resistivity of the combination is
(A) \( \frac{\rho_{1} l_{1}+\rho_{2} l_{2}}{l_{1}+l_{2}} \)
(B) \( \frac{\rho_{1} l_{2}+\rho_{2} l_{1}}{l_{1}-l_{2}} \)
(C) \( \frac{\rho_{1} l_{2}+\rho_{2} l_{1}}{l_{1}+l_{2}} \)
(D) \( \frac{\rho_{1} l_{1}-\rho_{2} l_{2}}{l_{1}-l_{2}} \)
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