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Two conductors have the same resistance ...

Two conductors have the same resistance at `0^@C` but their temperature coefficient of resistanc are `alpha_1 and alpha_2`. The respective temperature coefficients of their series and parallel combinations are nearly

A

`(alpha_(1) + alpha_(2))/2, alpha_(1) + alpha_(2)`

B

`alpha_(1) + alpha_(2) , (alpha_(1) + alpha_(2))/2`

C

`alpha_(1) + alpha_(2), (alpha_(1)alpha_(2))/(alpha_(1) + alpha_(2))`

D

`(alpha_(1) +alpha_(2))/2, (alpha_(1) + alpha_(2))/2`

Text Solution

Verified by Experts

The correct Answer is:
D
`R_(1) = R_(0) (1+alpha_(1)(Deltat)), R_(2) = R_(0)(1+alpha_(2)(Deltat))`
Series `R=R_(1) + R_(2)`, Parallel `1/R = 1/R_(1) +1/R_(2)`
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