$A$ wire of cross-section area $A$, length $L_1$, resistivity $\rho_1$ and temperature coefficient of resistivity $\alpha_1$ is connected to a second wire of length $L_2$, resistivity $\rho_2$ , temperature coefficient of resistivity $\alpha_1$ and the same area $A$, so that wire carries same current. Total resistance $R$ is independent of temperature for small temperature change if (Thermal expansion effect is negligible)
  • A$\alpha_1 = - \alpha_2$
  • B$\rho_1 L_1 \alpha_1 + \rho_2 L_2 \alpha_1 = 0$
  • C$L_1 \alpha_1 + L_2 \alpha_1 = 0$
  • D
    None
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