A wire of cross-section area A, length \[{{L}_{1}}\] resistivity \[{{\rho }_{1}}\] and temperature coefficient of resistivity \[{{\alpha }_{1}}\] is connected in series to a second wire of length \[{{L}_{2}}\] resistivity \[{{\rho }_{2}}\], temperature coefficient of resistivity \[{{\alpha }_{2}}\]and the same are A, so that wires carry 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. \[{{\rho }_{1}}{{L}_{1}}{{\alpha }_{1}}+{{\rho }_{2}}{{L}_{2}}{{\alpha }_{2}}=0\]
• C. \[{{L}_{1}}{{\alpha }_{1}}+{{L}_{2}}{{\alpha }_{2}}=0\]
• D. None of these