Two wires of resistance R1 and R2 at 0 C have temperature coefficient of resistance α1 and α2 respectively.These are joined in series.The effective temperature coefficient of resistance is:-
A
α1+α22
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B
√α1α2
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C
α1R1+α2R2R1+R2
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D
√R1R2α1α2√R21+R22
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Solution
The correct option is Cα1R1+α2R2R1+R2 R=Rref[1+α(T−Tref)] where,
R=conductor resistance at temperature T
Rref=conductor resistance at reference temperature e.g 0°C