Two resistances of equal magnitude R and having temperature coefficients α₁ and α₂ respectively are connected in parallel. The temperature coefficient of the parallel combination is, approximately:
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Question

Two resistances of equal magnitude R and having temperature coefficients α₁ and α₂ respectively are connected in parallel. The temperature coefficient of the parallel combination is, approximately:

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G1 Physics · Accepted Answer

For equal resistances R in parallel, R(eq) = R/2. On differentiating the parallel resistance with temperature, α(eq) = (α₁+α₂)/2. Hence D.