Two wires of resistance \( \mathrm{R}_{1} \) and \( \mathrm{R}_{2} \) at \( 0^{\circ} \mathrm{C}...
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Two wires of resistance \( \mathrm{R}_{1} \) and \( \mathrm{R}_{2} \) at \( 0^{\circ} \mathrm{C} \) have temperature coefficients of resistance \( \alpha_{1} \) and \( \alpha_{2} \)
P respectively. These are joined in series. The effective temperature coefficient of resistance is :-
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(1) \( \frac{\alpha_{1}+\alpha_{2}}{2} \)
(2) \( \sqrt{\alpha_{1} \alpha_{2}} \)
(3) \( \frac{\alpha_{1} R_{1}+\alpha_{2} R_{2}}{R_{1}+R_{2}} \)
(4) \( \frac{\sqrt{R_{1} R_{2} \alpha_{1} \alpha_{2}}}{\sqrt{R_{1}^{2}+R_{2}^{2}}} \)
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