Question:
Two conductors have the same resistance at 0°C but the temperature coefficients of resistance are $\alpha_1$ and $\alpha_2$. The respective temperature coefficients of their series and parallel combinations are nearly
Two conductors have the same resistance at 0°C but the temperature coefficients of resistance are $\alpha_1$ and $\alpha_2$. The respective temperature coefficients of their series and parallel combinations are nearly
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For series and parallel combinations, remember that the effective temperature coefficients are calculated based on the resistances of each conductor.
Updated On: Mar 30, 2025
- $\frac{\alpha_1 + \alpha_2}{2}$, $\alpha_1 + \alpha_2$
- $\alpha_1 + \alpha_2$, $\alpha_1 + \alpha_2$
- $\frac{\alpha_1 + \alpha_2}{3}$, $\frac{\alpha_1 + \alpha_2}{3}$
- $\frac{\alpha_1 + \alpha_2}{2}$, $\alpha_1 + \alpha_2$
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The Correct Option is D
Solution and Explanation
The temperature coefficients of resistance for series and parallel combinations are based on the respective resistances and the temperature coefficients. The series combination gives a factor of $\frac{1}{2}$ for the temperature coefficient, while the parallel combination gives the sum of the coefficients.
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