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Q.

Two wires 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

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a

α1 +α22

b

α1 α2

c

α1R1 +α2R2R1+R2

d

R1R2 +α1α2R12 +  R22

answer is C.

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Detailed Solution

Rt1=R11+α1t and   Rt2=R21+α2tAlso  Req. =Rt1=Rt2⇒Req. =R1+R2+ R1α1+R2α2t⇒Req =R1+R2  1+ R1α1+R2α2R1+R2.tSo  αeff  =  R1α1+R2α2R1+R2
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