Question

Two resistances equal at \( 0^\circ \, \text{C} \) with temperature coefficient of resistance \( \alpha_1 \) and \( \alpha_2 \) joined in series

• A. \( \alpha_1 + \alpha_2 \)
• B. \( \frac{\alpha_1 \alpha_2}{\alpha_1 + \alpha_2} \)
• C. \( \alpha_1 - \alpha_2 \)
• D. \( \frac{\alpha_1 + \alpha_2}{2} \)

Hint:

When resistances are connected in series, the total temperature coefficient is the sum of the individual temperature coefficients.

Answer 1

The Correct Option is A

Step 1: Temperature Coefficient in Series.
When resistances are connected in series, the total temperature coefficient is simply the sum of the individual temperature coefficients. Hence: \[ \alpha_{\text{total}} = \alpha_1 + \alpha_2 \] Step 2: Conclusion.
The correct answer is (A), \( \alpha_1 + \alpha_2 \).