At the tempearture `0^(@) C` the electric resistance of conductor 2 is `eta` times that of conductor 1. Thier temperatures coeficients of resistance are equal to `alpha_(2)` and `alpha_(1)` respectively. Find the tempearture coefficient of resistance of a circuit segment consisting of these two conductors when they are connected
(a) In series , (b) In parallel .

Explanation

To solve the problem, we need to find the temperature coefficient of resistance for a circuit segment consisting of two conductors when they are connected in series and in parallel. Let's denote the following:

- \( R_1 \) = Resistance of conductor 1 at \( 0^\circ C \)
- \( R_2 \) = Resistance of conductor 2 at \( 0^\circ C \) = \( \eta R_1 \)
- \( \alpha_1 \) = Temperature coefficient of resistance of conductor 1
- \( \alpha_2 \) = Temperature coefficient of resistance of conductor 2

### (a) When connected in series:
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