Question

Two conductors have the same resistance at $0^{\circ }C$ but their temperature coefficients of resistance are ${\alpha }_1$ and ${\alpha }_2$. The respectively temperature coefficients of their series and parallel combinations are nearly

• A. $\frac{{\alpha }_1+{\alpha }_2}{2},\frac{{\alpha }_1+{\alpha }_2}{2}$
• B. $\frac{{\alpha }_1+{\alpha }_2}{2},{\alpha }_1+{\alpha }_2$
• C. ${\alpha }_1+{\alpha }_2,\frac{{\alpha }_1+{\alpha }_2}{2}$
• D. ${\alpha }_1+{\alpha }_2,\frac{{\alpha }_1{\alpha }_2}{{\alpha }_1+{\alpha }_2}$

Answer 1

The correct option is A $\frac{{\alpha }_1+{\alpha }_2}{2},\frac{{\alpha }_1+{\alpha }_2}{2}$

Note:- Multiplication of two are being ignore in calculation because they will be more small.