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Question

The wire of resistance R1 and R2 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
R1R2α1α2R21+R22
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Solution

The correct option is C α1R1+α2R2R1+R2
R=R0[1+αΔT]Requ=R1+R2ΔRequ=ΔR1+ΔR2R0equαequΔT=R1α1ΔT+R2α2ΔT,asΔ=R0αΔT.αequ=R1α1+R2α2R0equ=R1α1+R2α2R1+R2

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