Two wires of resistance R1 and R2 have temperature coefficient of resistance Alpha 1 in Alpha 2 respectively, these are joined in series. The effective temperature coefficient of resistance is: ----
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Answered by
90
Answer: =
Step by Step Solution:
We have,
Resistance of wires are R₁ and R₂ respectively.
Temperature coefficient is α₁ and α₂ respectively.
Let us take that their resistance at temperature t are and respectively.
Now,
We know that,
Resistance of a wire t having temperature coefficient α at temperature t° C is,
Similarly,
For First wire,
For second wire,
Now,
As per given that, resistance are connected in the series,So their equivalent resistance is given by,
Answered by
0
Suppose at t°c, resistance of two wires become R1t & R2t & their equivalent is
Rt= R1t +R2t
.
.
. (open image)
∴ effective temp coefficient is {(R1α1 + R2α2)/(R1 + R2)}
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